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Re: The death of the Bayer filter? Maybe not.

 
 
TheRealSteve
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      04-24-2012

On Mon, 23 Apr 2012 08:10:33 -0700, nospam <>
wrote:

>In article <>, TheRealSteve
><> wrote:
>
>> Look at the jacket picture provided earlier in the thread. It's an
>> example of the red and blue color channels having more aliasing than
>> the green color channel. And, while the example doesn't show it, by
>> extension, the green color channel has more aliasing than an
>> equivalent monochrome sensor would have had.

>
>a monochrome, foveon or a 3 sensor system of the same resolution would
>alias the same, but without false colour.


That was one of the funniest things you've said yet. It's almost like
you don't realize the false color is caused by aliasing so what you
really said is that a monochrome, foveon or 3 sensor system of the
same resolution would alias the same, but without the aliasing. lol.
You crack me up. Or maybe you really don't understand that the false
color is due to aliasing. Hard to believe after all this discussion on
it but I guess it's possible.

>> All along I've said that a 3 sensor system would be necessary only if
>> you needed more resolution than an equivalent (in terms of sensor size
>> and pixel density) bayer cfa can provide. And I'm still saying that.
>> So if you don't need more resolution than a mushy output from an AA
>> filtered bayer cfa, then obviously a 3 sensor system isn't necessary.

>
>bayer sensors with aa filters do not produce mushy output.


That was also pretty funny, but not as funny as the one above. Again,
after all this discussion, it's hard to believe that you don't
understand the way an AA filter works is by producing mushy output
from the sharp image on the input side of the filter. But once again,
I guess it's possible.

>> >The same is true for n-sensor systems: if there's aliasing, there
>> >is aliasing. And a 3-sensor system isn't any less susceptible
>> >to aliasing, assuming they're well designed.

>>
>> Ah, but a 3 sensor system is less susceptible to aliasing for the same
>> sensor size and pixel density, but using 3 of them in a 3 sensor
>> system vs. one with a bayer cfa over it. Which is, once again, the
>> point.

>
>it is not less susceptible at all.


Right, just without the false color. Too funny.

>> No more needs to be said so I'll snip the rest.

>
>best you do, as you keep digging yourself into a deeper and deeper hole.


Ok, that was almost as funny (but not quite) as your first statement,
saying the different sensor types would alias the same, but the ones
besides bayer would have less alias artifacts..lol... But I think it
was funner than when you said the AA filter doesn't produce mushy
output when that's precisely what they do and why they work to some
extent.

It's really hard to decide what statements of yours are the funniest,
showing just how confused you are, when there's so many good ones to
choose from. Keep 'em coming. I can seriously use the laughs.

Steve
 
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nospam
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Posts: n/a
 
      04-24-2012
In article <>, TheRealSteve
<> wrote:

> >> Look at the jacket picture provided earlier in the thread. It's an
> >> example of the red and blue color channels having more aliasing than
> >> the green color channel. And, while the example doesn't show it, by
> >> extension, the green color channel has more aliasing than an
> >> equivalent monochrome sensor would have had.

> >
> >a monochrome, foveon or a 3 sensor system of the same resolution would
> >alias the same, but without false colour.

>
> That was one of the funniest things you've said yet. It's almost like
> you don't realize the false color is caused by aliasing so what you
> really said is that a monochrome, foveon or 3 sensor system of the
> same resolution would alias the same, but without the aliasing. lol.


that's not what i said. read it again.

> You crack me up. Or maybe you really don't understand that the false
> color is due to aliasing. Hard to believe after all this discussion on
> it but I guess it's possible.


you're so confused you can't even understand what you read.

here it is again: i said the false colour is due to aliasing, but only
on bayer. on monochrome, foveon & 3 sensors, the aliasing is still
there, but it doesn't cause false colour. it's really quite simple.

if you can't understand basic english, how can you possibly understand
something as complex as aliasing and bayer processing?

> >> All along I've said that a 3 sensor system would be necessary only if
> >> you needed more resolution than an equivalent (in terms of sensor size
> >> and pixel density) bayer cfa can provide. And I'm still saying that.
> >> So if you don't need more resolution than a mushy output from an AA
> >> filtered bayer cfa, then obviously a 3 sensor system isn't necessary.

> >
> >bayer sensors with aa filters do not produce mushy output.

>
> That was also pretty funny, but not as funny as the one above. Again,
> after all this discussion, it's hard to believe that you don't
> understand the way an AA filter works is by producing mushy output
> from the sharp image on the input side of the filter. But once again,
> I guess it's possible.


aa filters don't produce mush. you've been drinking the foveon koolaid.

for proof, there are zillions of photos from bayer cameras that are
*not* mush. therefore, your statement is wrong.

> >> Ah, but a 3 sensor system is less susceptible to aliasing for the same
> >> sensor size and pixel density, but using 3 of them in a 3 sensor
> >> system vs. one with a bayer cfa over it. Which is, once again, the
> >> point.

> >
> >it is not less susceptible at all.

>
> Right, just without the false color.


that's right, without the false colour.

> Too funny.


you ought not to laugh too hard.

> >> No more needs to be said so I'll snip the rest.

> >
> >best you do, as you keep digging yourself into a deeper and deeper hole.

>
> Ok, that was almost as funny (but not quite) as your first statement,
> saying the different sensor types would alias the same, but the ones
> besides bayer would have less alias artifacts..lol...


i didn't say that at all. read it again.

> But I think it
> was funner than when you said the AA filter doesn't produce mushy
> output when that's precisely what they do and why they work to some
> extent.


then explain how zillions of photos from cameras with aa filters are
not mushy.

> It's really hard to decide what statements of yours are the funniest,
> showing just how confused you are, when there's so many good ones to
> choose from. Keep 'em coming. I can seriously use the laughs.


like i said, you shouldn't laugh too hard because the rest of us are
actually laughing much harder, at you.
 
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TheRealSteve
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      04-25-2012

On Tue, 24 Apr 2012 07:58:47 -0700, nospam <>
wrote:

>In article <>, TheRealSteve
><> wrote:
>
>> >> Look at the jacket picture provided earlier in the thread. It's an
>> >> example of the red and blue color channels having more aliasing than
>> >> the green color channel. And, while the example doesn't show it, by
>> >> extension, the green color channel has more aliasing than an
>> >> equivalent monochrome sensor would have had.
>> >
>> >a monochrome, foveon or a 3 sensor system of the same resolution would
>> >alias the same, but without false colour.

>>
>> That was one of the funniest things you've said yet. It's almost like
>> you don't realize the false color is caused by aliasing so what you
>> really said is that a monochrome, foveon or 3 sensor system of the
>> same resolution would alias the same, but without the aliasing. lol.

>
>that's not what i said. read it again.
>
>> You crack me up. Or maybe you really don't understand that the false
>> color is due to aliasing. Hard to believe after all this discussion on
>> it but I guess it's possible.

>
>you're so confused you can't even understand what you read.
>
>here it is again: i said the false colour is due to aliasing, but only
>on bayer. on monochrome, foveon & 3 sensors, the aliasing is still
>there, but it doesn't cause false colour. it's really quite simple.
>
>if you can't understand basic english, how can you possibly understand
>something as complex as aliasing and bayer processing?


Keep em coming! You don't even understand why what you said is so
funny. Foveon and 3 sensor systems don't alias the same as bayer, but
you said they do. And you went on and said they alias the same but
without the false color, which is exactly why they don't alias the
same. Too funny!!

The reality is that the bayer sensor begins to show alias artifacts
for the same "scene" or test image before a foveon or 3 sensor system
will. As the spatial frequency goes up, the color artifacts come first
for bayer. Then some luma artifacts. Then finally the foveon and 3
sensor systems will start to show artifacts (luma banding or flashing)
long after the bayer did. It doesn't matter that youdon't understand
that. Your statements are still amusing.

>
>> >> All along I've said that a 3 sensor system would be necessary only if
>> >> you needed more resolution than an equivalent (in terms of sensor size
>> >> and pixel density) bayer cfa can provide. And I'm still saying that.
>> >> So if you don't need more resolution than a mushy output from an AA
>> >> filtered bayer cfa, then obviously a 3 sensor system isn't necessary.
>> >
>> >bayer sensors with aa filters do not produce mushy output.

>>
>> That was also pretty funny, but not as funny as the one above. Again,
>> after all this discussion, it's hard to believe that you don't
>> understand the way an AA filter works is by producing mushy output
>> from the sharp image on the input side of the filter. But once again,
>> I guess it's possible.

>
>aa filters don't produce mush. you've been drinking the foveon koolaid.


Yes, AA filters do produce mush. The fact that you don't think they
make an image mushier proves you don't know how they work or what they
do.

>for proof, there are zillions of photos from bayer cameras that are
>*not* mush. therefore, your statement is wrong.


That's not proof. For proof, you would need to see what the image
would look like with and without the AA filter. With the AA filter
will look mushier because that's what they do, besides reducing alias
artifacts.

>> >> Ah, but a 3 sensor system is less susceptible to aliasing for the same
>> >> sensor size and pixel density, but using 3 of them in a 3 sensor
>> >> system vs. one with a bayer cfa over it. Which is, once again, the
>> >> point.
>> >
>> >it is not less susceptible at all.

>>
>> Right, just without the false color.

>
>that's right, without the false colour.


Um, FYI, it's the false color that shows the bayer sensors to be more
susceptible to aliasing. That's why what you're saying is so funny.

>> Too funny.

>
>you ought not to laugh too hard.


It's difficult, but I'll try.

>> >> No more needs to be said so I'll snip the rest.
>> >
>> >best you do, as you keep digging yourself into a deeper and deeper hole.

>>
>> Ok, that was almost as funny (but not quite) as your first statement,
>> saying the different sensor types would alias the same, but the ones
>> besides bayer would have less alias artifacts..lol...

>
>i didn't say that at all. read it again.


You said different sensor types would alias the same but the ones
besides bayer wouldn't have false color. Since false color = alias
artifacts, you did say different sensors types would alias the same
but the ones besides bayer would have less alias artifacts. The fact
that you don'r realize it's what you said either means you don't
understand that false color is due to alias artifacts or English is
not your forte'.

>> But I think it
>> was funner than when you said the AA filter doesn't produce mushy
>> output when that's precisely what they do and why they work to some
>> extent.

>
>then explain how zillions of photos from cameras with aa filters are
>not mushy.


But they are mushy. At least, mushier than they would be without the
AA filter. The fact you don't believe that proves you don't know what
AA filters do.

>> It's really hard to decide what statements of yours are the funniest,
>> showing just how confused you are, when there's so many good ones to
>> choose from. Keep 'em coming. I can seriously use the laughs.

>
>like i said, you shouldn't laugh too hard because the rest of us are
>actually laughing much harder, at you.


That would mean they are as confused as you are. Since I don't see
anyone jumping to your defense and refuting the fact that false color
(color banding, moire, etc.) from a bayer sensor is usually due to
aliasing and the fact that the way an AA filter works is by blurring
an image, I'll just keep laughing at you if you don't mind.
 
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nospam
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Posts: n/a
 
      04-25-2012
In article <>, TheRealSteve
<> wrote:

> >> >> No more needs to be said so I'll snip the rest.
> >> >
> >> >best you do, as you keep digging yourself into a deeper and deeper hole.
> >>
> >> Ok, that was almost as funny (but not quite) as your first statement,
> >> saying the different sensor types would alias the same, but the ones
> >> besides bayer would have less alias artifacts..lol...

> >
> >i didn't say that at all. read it again.

>
> You said different sensor types would alias the same but the ones
> besides bayer wouldn't have false color. Since false color = alias
> artifacts, you did say different sensors types would alias the same
> but the ones besides bayer would have less alias artifacts.


i did not say less. don't twist things.

> The fact
> that you don'r realize it's what you said either means you don't
> understand that false color is due to alias artifacts or English is
> not your forte'.


or rather that you don't understand what it is you're reading, so much
so that you come up with nonsensical interpretations that are unrelated
to what was actually written.

> >> It's really hard to decide what statements of yours are the funniest,
> >> showing just how confused you are, when there's so many good ones to
> >> choose from. Keep 'em coming. I can seriously use the laughs.

> >
> >like i said, you shouldn't laugh too hard because the rest of us are
> >actually laughing much harder, at you.

>
> That would mean they are as confused as you are. Since I don't see
> anyone jumping to your defense and refuting the fact that false color
> (color banding, moire, etc.) from a bayer sensor is usually due to
> aliasing and the fact that the way an AA filter works is by blurring
> an image, I'll just keep laughing at you if you don't mind.


you're so confused you don't realize that they already have.
 
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Wolfgang Weisselberg
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      04-25-2012
TheRealSteve <> wrote:
> On Mon, 23 Apr 2012 04:48:14 +0200, Wolfgang Weisselberg
>>TheRealSteve <> wrote:



>>> Wrong. You can easily make the same guess of the outcome of something
>>> given the same conditions. Even flipping a coin, I can write an
>>> algorithm that always guess heads and be wrong only half the time. And
>>> it's still just a guess even though it's repeatable.


>>Write an algorithm that's right in 98% of the time ...


> You can write an algorithm that's right more than 98% of the time if
> it has enough data input to it. Things like the vector of force
> applied in flipping the coin, mass, CoG and CoP of the coin,
> atmospheric conditions like density, air movement, etc., distance from
> flip to the landing surface, material properties of the landing
> surface, a high resolution 3d map of the gravitational field the coin
> will traverse, etc. etc.


Go ahead, write one.


> All that data input to the right algorithm can turn a dumass 50/50
> guess into a much more educated guess that can be correct much more
> than 50% of the time. Maybe even as high as 98% of the time or higher.
> But it's still an educated guess and could still be wrong. Calculating
> 2+2 can give the correct answer without much chance of it being wrong.


So what is the correct answer to 2+2, 4, 0 or 1?
I can make a valid case for each of these being correct ...

-Wolfgang
 
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Wolfgang Weisselberg
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      04-25-2012
TheRealSteve <> wrote:
> On Mon, 23 Apr 2012 05:02:29 +0200, Wolfgang Weisselberg
>>TheRealSteve <> wrote:
>>> On Sat, 21 Apr 2012 07:25:36 -0700, nospam <>


>>>>the data is precisely calculated and with a known error that is nearly
>>>>always imperceptible.


>>> Now you're playing the word games. Precisely calculated with an known
>>> error. You're not making sense. If it's precisely calculated, it
>>> wouldn't have an error, known or otherwise. And if there is a known
>>> error, it can be eliminated.


>>You have never worked with measurements with a known error band.
>>You have not understood the difference between precision and
>>exactness.


> And you don't understand the difference between accuracy and
> precision.


You do? So how comes you don't grasp error bands?

>>Specially for you:
>>If I measure a paper to be 0.01 mm thick, with a measurement error
>>of 10%, then 1000 sheets of that paper would be 10±1mm thick.
>>That's a precisely calculated result, with a known error (band).


> Actually, it's a precisely calculated estimate,


Actually, it's a result. It's even a correct result, and
more than that, it tells about it's own accuracy. You could
increase the precision: "10.000±1.000 mm".

> and it's only an estimate.


Please look up the word "estimate". The OED says: "judgement or
calculation of the approximate size, cost, value, etc of sth".
It's neither a judgement or an approximation, therefore it's not
an estimate.

If it was "ca 1 cm" then it would be an estimate.

> It can be very precise but not be accurate.


In fact, it's accurate to 10%.

You could, however, measure the thickness with any wanted
precision and accuracy, given enough time and money. And
then the 'estimate', as you insist on calling it, would be
just as precise and accurate.


> As an example showing the difference, think of an archer hitting a
> target with arrows that are spread all over the place but the average
> position of them all is centered at the bullseye. That is high
> accuracy but low precision. Now, if all the arrows hit within 1mm of
> eachother but were far off the center, that is high precision but low
> accuracy.


Interesting try. It's wrong of course, the archer would have
a low/high repeatability and a medium/high error.


>>> The problem is that the error is unknown
>>> within a statistical bounds. That's why it's only an estimate. You
>>> either don't understand simple concepts or you're just playing games.


>>You're talking about things you don't understand well enough.
>>All you could say is something about where to set the error bounds.


> It's obvious that you don't understand these simple mathmatical
> concepts.


It's obvious that you define anything calculates with an error
band to be an 'estimate'. That's of course your privilege,
but do not try to force your (mis)use of words on others. If
you wish to communicate, you need to use the words as they
are defined by others.

> You don't understand how calculating an estimate with a
> statistical error associated with it is different than calculating the
> answer of 2+2.


2+2 = 3.994 ± 0.008
Assuming the answer isn't rather ca. 0 or ca. 1.

-Wolfgang
 
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Wolfgang Weisselberg
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      04-26-2012
TheRealSteve <> wrote:
> On Mon, 23 Apr 2012 02:53:04 +0200, Wolfgang Weisselberg
>>TheRealSteve <> wrote:
>>> On Fri, 20 Apr 2012 13:08:31 +0200, Wolfgang Weisselberg
>>>>> On Wed, 18 Apr 2012 00:18:22 +0200, Wolfgang Weisselberg
>>>>>>TheRealSteve <> wrote:


>>>>>>> The sampling frequency for pixels of the same
>>>>>>> color is what determines the Nyquist Limit for the sensor at sensing
>>>>>>> that particular color.


>>>>>>If there was no response in other colour pixels, that would
>>>>>>even be correct. Unfortunately, this premise is only true in
>>>>>>3-sensor systems. *Especially* the green pixels also react
>>>>>>to red and blue. Just look at the transmission curves.


>>>>> Which of course doesn't matter if the red or blue channels are
>>>>> aliased.


>>>>OK, so how are the 'red or blue channels' calculated?


>>>>Hint: They're not only calculated from the red or blue pixels.


>>> Here's a hint for you: when it comes to whether or not the red or blue
>>> channels are aliased, it matters not a bit how they are calculated.
>>> All that matters is how they are sampled.


>>Yep, they are sampled at every pixel, with a strong response
>>in red pixels, a medium response in green pixels and a weak
>>response in blue pixels. And then there is an AA filter ...


> And there enlies the problem. The strong response of the red color
> sampling in the red pixels is sampled at a lower rate than the weak
> red response in the green pixels. Therefore, the red sampling in the
> red pixels has a much better chance of being aliased than the red
> sampling of the green pixels.


OK, let's try a thought experiment.

Let us assume we have a monochrome sensor.

Let us further assume that 1% of the sensor's pixels happen
to have a red pass filter.

So every 10x10 pixel group has a single red pixel:

1
1 2 3 4 5 6 7 8 9 0

1 O O O O O O O O O O
2 O O O O O O O O O O
3 O O O O O O O O O O
4 O O O O O O O O O O
5 O O O O r O O O O O
6 O O O O O O O O O O
7 O O O O O O O O O O
8 O O O O O O O O O O
9 O O O O O O O O O O
10 O O O O O O O O O O

.... the red pixel on the 5/5 position.

Now, let us assume red lines, which, focussed on the sensor,
are about 2 pixels wide, followed by a ca. 2 pixel wide gap.
Let us further assume the red pixel in *this* 10x10 grid is on
the maximum of a line:

1 2 3 4 5 6 7 8 9 0

1 O O O O O O O O O O
2 o o o o o o o o o o
3 . . . . . . . . . .
4 o o o o o o o o o o
5 O O O O R O O O O O
6 o o o o o o o o o o
7 . . . . . . . . . .
8 o o o o o o o o o o
9 O O O O O O O O O O
10 o o o o o o o o o o

(On the next 10x10 grid the red pixel is in a minimum. You
could say, the red pixels, seen alone, are aliased.)

Now, the monochrome value of the position 5/5 is interpolated
from the monochrome pixels around it. It's obvious that the
monochrome pixels are not aliased and can resolve the lines
well.

So what happens, is:
1. the monochrome pixels are interpolated as needed for the
red pixels
2. the monochrome pixels are read for the structure
3. the red pixels are read for the amount of red ion the
structure. This is *not* done by simply interpolating the red
pixels. That would give aliasing.
This is done by cross-referencing the red with the monochrome
value at the 5/5 pixel. These corrected values are then
interpolated.
4. Thus in 10x10s where the red pixel is fairly dark and the
monochrome value calculated for the red pixel is also
fairly dark, we have a high noise (as we amplify the read
red pixel value), but we have the correct amount of red.
5. This leads to the output's red colouration not being
aliased as much as your simple model assumes.


In Bayer-pattern sensors, the green pixels take the
monochrome pixels role of this example.


> And once you get aliasing in any of the
> channels, you get alias artifacts.


See above, I think I have made it clear even to you that this is
not necessarily so.

> The only way to lower the greater
> amount of alias artifacts coming from the lower sampled channels is to
> ignore the lower sampled rate data. But that brings up other problems,
> like not having enough data at all to come up with chroma information.


You're stuck on the (independent) 'channels' model. This is
not what happens.

> And since we're trying to eliminate the harsh AA filter, that's not
> the answer either.


Who is this 'we' you're talking about? I'm *emphatically not*
trying to eliminate an AA filter, harsh or otherwise. This
is not the time for it.


>>>>>>> The significance is that it doesn't matter what type of demosaicing
>>>>>>> you are doing to generate luma and chroma. It doesn't matter that the
>>>>>>> luma resolution may or may not be the same as the pixel resolution of
>>>>>>> the bayer sensor. All that discussion is specious. What matters is the
>>>>>>> sample frequency of the individual color channels since if any of them
>>>>>>> are aliased, the final image will have artifacts.


>>>>>>If the red channel was aliased, then the green channel with
>>>>>>it's higher resolution would show that it is aliased. Thus
>>>>>>the problem is solved.


>>>>> Absolutely not problem solved. If the red channel is aliased, it
>>>>> doesn't matter what the green channel is showing. The red channel will
>>>>> still have alias artifacts that will make it into the final demosaiced
>>>>> image.


>>>>Only with a naive implementation.


>>> Show me an implementation of a bayer cfa demosaicing algorithm that
>>> can get rid of alias artifacts in the final image if the individual
>>> color channels are aliased. I'd really would actually like to see one.


>>Show me a test chart that
>>a) creates aliasing in a colour channel


> Easy. You don't even need a test chart. Just look at the picture of
> the suit jacket that has been circulated.


That's not what I asked for. And you know it.
I asked for a test case. Not for 'proof' that *one* camera
with *one* AA filter and *one* demosaicing algorithm might
have problems.

>>b) defies the AA filter in the camera


> Which we're trying to reduce or eliminate because it robs the camera
> of resolution. If you have to blur the pictures to mush, what's the
> point of having a high resolution sensor?


Polemics.

Anyway, who is 'we'?


>>c) would not create aliasing with a monochrome sensor (i.e. one
>> with not a per-pixel filter) with the same pixel size and
>> density.


> This is the easiest one of all. Just use a spatial resolution in the
> test chart that's greater than the red/blue or even green pixel
> density but is not greater than the overall monochrome pixel density.


Sorry, it needs to be the *same* test chart. Every condition
in the *same* test chart.

>>d) shows a situation that happens in the real world


> Also easy. Just look at the picture of the coat. There is a very high
> chroma mosaic pattern but not much luma mosaic pattern.


Aliasing is not only mosaic patterns. And "not much" doesn't
mean NONE. And it's --- again --- not a test case.

Really, if I want to examine under which conditons 2 cars
driving towards the same intersection will crash and what one
can do about it (maybe traffic lights?) you don't need to
point me at the image of a car crash.


>>Then we can talk ...


> Somehow I still doubt you'd be qualified to talk about it.


Somehow I doubt you're even qualified to understand what a
test case is.

Of course, if you wish not to present an 'unbeatable' test
case ...


>>>>>>> In a bayer sensor, the green is 1/2 the linear resolution and the red
>>>>>>> and blue are 1/4 the linear resolution of an equivalent 3 sensor
>>>>>>> system. That 1/2 and 1/4 the resolution of a bayer sensor vs. a 3
>>>>>>> sensor system means you have more of a chance to get aliasing with
>>>>>>> bayer sensor. That is significant to this discussion.


>>>>>>And exactly *how* did you calculate that an "equivalent" 3-sensor
>>>>>>system would need between 840% and more than 1,800% sensels of the
>>>>>>bayer sensor sensels? In which way would that be "equivalent"
>>>>>>when neither the pixel count nor the sensel count nor the
>>>>>>resolution nor the price is comparable?


>>>>> An equivalent 3 sensor system will have 3 times the number of pixels
>>>>> than the bayer cfa.


>>>>So it's *not* equivalent. Neither in price, nor in weight nor
>>>>in 'pixels'. It's like saying "an equivalent 15 inch gun has
>>>>many times the shot weight than an .22 gun".


>>> But it is equivalent in sensor size


>>Nope, the total sensor size is 3 times as large.


> Yup, because each sensor is the same size.


See, not equivalent.

> The whole point of the 3
> sensor system is to get more pixels and more overall sensor space
> without having to use larger and higher density sensors.


An answer waiting for an unsolved problem.


> If you want
> to eliminate the whole point of using a 3 sensor system, then you're
> biasing the result.


If your system is not competitive, it's "biasing the result"
to point that out?


> That's just as stupid as if I were to say, if the
> 3 sensor system has to use sensors that are 1/3 the size of the bayer
> sensor then you have to use a monochrome filter on your bayer sensor,
> just like one of the 3 sensor ones, or else it's not equivalent.


That would be workable for Bayer --- each pixel gets a monochrome
filter. Actually, I can use 3 monochrome filters, all in all,
since your 3-sensor system uses 3.

> Now
> try to resurrect a color image from sensor with a monochrome filter.
> You *have* to do that to keep it equivalent with the 3 sensor system.
> Idiotic.


Oh, well, long ago I told you to compete on price, weight, size
and all that real world relevant stuff.


>>> and pixel density,


>>The pixel density at the 8 MPix 20D and the 22 MPix 5D3 is also
>>practically identical.


>>So the 20D and 5D3 are equivalent. By your logic, that is.


> By my logic, only if the sensor size is the same. Remember, I said
> pixel density *and* individual sensor size are the same.


Who says *individual* sensor size?

> You're
> comparing different size sensors so as usual, you have an invalid
> analogy trying to prove inane logic.


So use a 20D and a 5D3 cropped to 1.6x. By your logic, they're
then identical.


>>> which are the
>>> technological parameters that limit resolution.


>>Let's just name the AA filter, the lenses, the aperture, the
>>camera shake, etc as further technological parameters that limit
>>resolution. Oh, and the difference between 1 and 3 sensors.


> Exactly. And it's the difference between the 1 and 3 sensors that
> gives the 3 sensor system the resolution advantage over a single bayer
> cfa of the same size and density as the ones used in the 3 sensor
> system. Now you're finally starting to get it, I think.


*sigh*.
There is no 'resolution advantage' worth to speak of for all the
drawbacks that a 3-sensor system has. Note that the D800 does
have *one* sensor. Not 3. Note that all the medium backends do
have *one* sensor. Not 3. Some even shift the sensor by a pixel.
And still they're not using the 'simple' 3-sensor model.

In theory, and excluding real life, a 30,000-sensor system
has a much higher resolution than a 3-sensor system.



>>> You just have 3 of the
>>> same sensor instead of 1.


>>Just 3 times the sensor size, 5 times the cost, 10 times the
>>weight, ...


> Exactly. The resolution advantage of the 3 sensor system over the
> bayer cfa doesn't come for free.


It (that being the mythical 'advantage') comes at a higher
cost than simply increasing the pixel density or increasing the
sensor size.

You don't grasp that.


>>> The number of sensors is not a technological
>>> parameter that limits resolution


>>Beam splitters can and will impact the resolution at some point.


> Maybe at some point, but we're not there yet.


So you agree I am 100% right here.

> And since they are
> better than the lenses you're likely to run into, they are not the
> limiting factor.


The technology to make higher pixel density Bayer sensors is
also better than the lenses you are going to run into, so
3-sensor systems are irrelevant.


>>> unless for some reason, you cannot
>>> produce more than a single sensor or cannot combine them into a 3
>>> sensor system.


>>So why not use a 100-sensor system? The non-perfect alignment of
>>the sensors allows us to render subpixels! Why not a 10,000-sensor
>>system? That would allow even smaller subpixel rendering!


> Because you don't need to and because we were discussing a 3 sensor
> system vs. a bayer cfa. No need to confuse yourself even further with
> specious arguments.


Hey, *you* started specious arguments, why am I not allowed to
lead your 3-sensor resolution advantage to it's logical conclusion?


>>> I never said anything about being equivalent in terms of price or
>>> weight, only in terms of sensor size and pixel density and one of them
>>> vs. 3 of them. So your gun analogy is specious.


>>Sensor size is 3 times as large.


> No, it's not. Sensor size is the same. Overall sensor size is 3x as
> large, which is the point of using a 3 sensor system.


And thus the sensor size is 3 times as large. Just because
you use several sensors doesn't mean you get the silicon for
free.

> You get 3x the
> sensor area with the same sensor size and pixel density by using 3 of
> them.


A waste of silicon, just build a larger Bayer sensor.


>>> However, if you want a gun analogy that makes sense, say you want to
>>> get a certain amount of shot on a target downrange and you have a 12ga
>>> shotgun. There is a limit to the amount of shot you can put in a 12ga
>>> shot shell. You can keep putting in more and more until you reach that
>>> technological limit, even if you go from a 2 3/4" shell to a 3" shell
>>> to maybe a 3 1/2" shell, you'll eventually reach a max that your gun
>>> will allow. If you need to get more shot on a target than a single gun
>>> can do, use 3 of the same equivalent guns.


>>> There's your valid gun analogy.


>>And now the gun is much larger, has an equivalent diameter of
>>over 2 times larger --- and you say they're equivalent?


> It's not one gun that's any larger. It's 3 equivalent guns vs. one.


Ah, yes, the pepperbox versus the machine pistol. The pepperbox
(the multi-sensor approach) has indeed many more barrels.
The machine pistol is way deadlier and shoots faster. Even
though it has only one barrel.

> Another one of your invalid analogies trying to prove inane logic. You
> will need more people to shoot them and coordinate the shot, which
> adds complexity to the overall system. Just like there is more
> complexity in the overall 3 sensor system vs. a single bayer cfa. But
> you are getting an advantage for that overall complexity because you
> are getting more shot downrange, or more image resolution by using
> three guns/sensors vs. one equivalent one.


So you need 3 photographers, one releasing the shutter for
each sensor, so to say.


>>>>> It will, of course, be more expensive. But it's
>>>>> that expense that buys you the extra resolution that you can't get
>>>>> with the bayer sensor at whatever pixel density you choose as the
>>>>> current technological limit.


>>>>The current technological limit --- as I already wrote --- is
>>>>at *least* 176 MPix for FF.
>>>> http://www.dpreview.com/news/2010/8/24/canon120mpsensor


>>>>> I.e., if current technology limits the
>>>>> resolution of a monochrome sensor to X, A bayer sensor will have an
>>>>> overall resolution of X but the individual color channels will be
>>>>> sampled at 1/2 X for green and 1/4 X for red and blue.


>>>>Misleading. Please quote the linear resolution.


>>> Ok, not to be misleading, I won't quote any resolution except to say
>>> that the red and blue channels have *less* resolution than the green
>>> channel.


>>If the channel is built solely from red respective blue pixels,
>>and then interpolated from that data only, yes.


> Even if it's not.


See above.

> The fact is that you are sampling different
> frequency bands of light at different spatial resolutions and whether
> aliasing is present in the final image is determined by the lowest
> sampled resolution, not the overall resolution.


Nope. If I record luminance and fill it with colour --- just as
e.g. most JPEGs do --- I don't get aliasing by undersampling the
colour compared to the luminance.


>>However, that's a naive implementation.


> But it's reality. The reality is that whether you get alias artifacts
> in the final image when you combine the channels is determined by the
> resolution of the lowest sampled channel.


Can you prove your claim? As in "mathematical proof that
there is no way you can *not* get aliasing when undersampling
colour"?


>>> And all of the channels have *less* resolution than an
>>> equivalent monochrome sensor would have. And by equivalent, I mean the
>>> same size and pixel density.


>>> How's that? Not misleading anymore I hope.


>>Yep --- however, the monochrome sensor doesn't have *any*
>>colour information. No chroma resolution at all. So I'll


> Which is why you use 3 of them, to get the color information at the
> same resolution as a monochrome sensor.


Again --- 3 sensors. For no good technological reasons.

>>trade some luma resolution for chroma resolution ... and gain
>>in the end.


> You can do all the trades you want. You'll still get alias artifacts
> in the final image if any of the color channels are aliased.


Proof?


>>>>> An equivalent 3
>>>>> sensor system using 3 of the same sensors as the bayer sensor that is
>>>>> at the current technological resolution limit will have a resolution
>>>>> of X for each of the color channels.


>>>>Due to non-aligned sensors, it won't.


>>> If the sensors are aligned, it will.


>>If I was a millionaire ...


> Both non-sequitur and specious.


Sensors being aligned is specious. They won't be.


>>> If they are not aligned and
>>> instead are corrected in software, it will still have better
>>> resolution than an equivalent bayer sensor. And by equivalent, I mean
>>> each of the 3 monochrome sensors is the same size and pixel density as
>>> the bayer cfa.


>>That's 3 times the sensor size.


> Now you're getting it. You get 3 times the sensor size by using 3
> sensors that are equivalent to the bayer sensor. Finally!!!!!


So I buy a Bayer sensor 3 times the size instead and get
there cheaper and with more resolution.

>>>>> That's why 3 sensor systems are used,


>>>>Where?
>>>>At what resolution?


>>> How about TV cameras that are old enough to be require 3 sensor
>>> systems because a single sensor that could provide the required
>>> resolution was beyond the limit of the technology at the time?


>>It wasn't about resolution, it was about being able to place
>>the colour filters for the pixels and to interpret them fast
>>enough. Old TV cameras were all analogue.


> I just saw a 60 minutes piece in high def that used a 3 sensor system
> for the camera. So it's not only about old analog TV.


Old HD system. And HD is a whopping *2* MPix. You wanna shoot
with a 2 MPix camera, you buy an old 2002 one.

At 2 MPix alignment isn't that critical and much easier to
archive than at 22 or 36 MPix.


>>>>> to get greater resolution in the color channels


>>>>Which your eye can't see anyways.


>>> Which doesn't matter a single bit when it comes to aliasing.


>>See above: give me a test case.


> Already provided in the example of the suit jacket with high amounts
> of color banding but much less luma banding.


That's not a test case, any more than a single misfocussed
shot is a test case for the camera misfocussiong.


>>>>> without having
>>>>> to go beyond the technological limit of sensor resolution.


>>>>Name *one* 170 MPix DSLR. Oops --- none available. Not even
>>>>close. So basically 'having to go beyond the technological limit
>>>>of sensor resolution' is a smoke grenade. It's just no problem
>>>>anywhere ...


>>> The fact that you can't name a single 170MP DSLR proves my point that
>>> there is always a limit to what a single sensor can do.


>>LOL. You're the one claiming a limit. I showed you the
>>pixel density is there, and not a problem.


> Lol! Show me a 170MP DSLR camera.


You keep repeating yourself, this shows you haven't understood.

OK, show me a 20 MPix 3-sensor camera. That should be doable
.... shouldn't it?


>>> If you need a
>>> resolution greater than what you can get with the current crop of
>>> bayer cfa sensors, a 3 sensor system could give you what you need. Or
>>> it may not. But it will give you better resolution than a single
>>> sensor albeit at greater cost, weight, complexity, etc.


>>Name me one 3-sensor DSLR from within the last 5 years.


> Right after you show me a 170MP DSLR.


Ah, you cannot.

> And don't worry, I will be able
> to show you a camera system that has the color resolution of the
> monochrome sensor of an equivalent bayer cfa.


At 2 MPix. Yawn.


> But you have to show me your 170MP DSLR first.


It's standing between your 20 MPix 3-sensor DSLR and your 3-sensor
DSLR that's younger than 5 years.

Unfortunately, it's the only camera of the three that will indeed
materialize in the future.


-Wolfgang
 
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Wolfgang Weisselberg
Guest
Posts: n/a
 
      04-26-2012
TheRealSteve <> wrote:
> On Mon, 23 Apr 2012 03:52:57 +0200, Wolfgang Weisselberg
>>TheRealSteve <> wrote:
>>> On Fri, 20 Apr 2012 13:52:26 +0200, Wolfgang Weisselberg
>>>>TheRealSteve <> wrote:
>>>>> On Wed, 18 Apr 2012 00:33:14 +0200, Wolfgang Weisselberg
>>>>>>TheRealSteve <> wrote:


>>>>>>> No I'm not comparing apples to oranges. I'm comparing apples to
>>>>>>> apples, just one apple to 3 apples.


>>>>>>For the price of your 3 apples I can buy a very large apple
>>>>>>that easily outweights the resolution of your 3 apples.


>>>>> And then I can buy 3 of those very large apples.


>>>>Sure.


>>>>For thrice the price.


>>> Yes, for thrice the price.


>>And that's equivalent, then?


> In terms of sensor size and pixel density, yes it's equivalent.


A 200g steak, prepared by a great cook and a 200g burger from
McDonalds are also equivalent, in terms of weight and being meat.


>>>>And then --- for the *same* price you pay, I buy an even
>>>>larger apple that easily outresolves your 3 apples. And I


>>> And I can then buy 3 of those larger apples for thrice the price that
>>> easily outresolves your single larger apple.


>>And I'll take thrice the money and buy a whole planet sized apple.


> And I'll buy 3 of the exact same whole planet sized apples and have a
> system with equivalent apples that outresolves your single planet
> sized apple.


Sorry, only one planet around, there's not enough silicon for
3 apples.


>>>>don't need to stop until the resolution is so high that no
>>>>lens can keep up and nothing's won by 3 times the money.


>>> Once you get there, then there's no more reason to use a 3 sensor
>>> system.


>>And we're there.


> Not yet we aren't. If we were, then an AA filter wouldn't be needed at
> all and I'd have what I wanted all along.


OK, then wait for eternity for a 3-sensor DSLR being
equivalent in resolving power to a Bayer sensor DSLR.

Me, I'll take the Bayer DSLR and upgrade every 7 years or so.


>>> As I said before, if the bayer sensor is not the limiting
>>> factor to the resolution needed to prevent aliasing without an AA
>>> filter, then there's no need to go to a more complex and costly
>>> system.


>>The Bayer sensor is not the limiting factor, AA filter or not.


> The fact that it needs an AA filter at all to prevent aliasing under
> any possible conditions proves that the bayer sensor *is* the limiting
> factor.


So which tripod do you use for snapshots?

Ah, yes, you shoot only landscapes with large format cameras.
Then, of course you're right.

> When there finally is a camera with a 170MP bayer sensor then maybe
> the bayer sensor won't be the limiting factor anymore. Actually, you
> don't need anything nearly that high. But we aren't yet where we need
> to be in order to have the bayer sensor not be the limiting factor.


So where /is/ the 3-sensor camera?


>>>>And did I mention you cannot align the 3 apples properly?


>>> Of course I can. The technology exists to align the 3 apples perfectly
>>> using both hardware and software.


>>Or so you think. Feel free to build a tech demo.


> Already built.


And where would that working tech demo be?


>>>>>>> There is a technological limit to
>>>>>>> the resolution of any sensor. No matter where you draw that limit,
>>>>>>> there is a limit. And whatever that limit is, if your bayer sensor is
>>>>>>> at the current limit (which it frequently is when it comes to high-end
>>>>>>> cameras) the only way to get the higher resolution of a 3 sensor
>>>>>>> system over a bayer sensor is to use 3 of them.


>>>>>> http://www.dpreview.com/news/2010/8/24/canon120mpsensor
>>>>>>And that's not even a full frame sensor. As a FF, that'd be
>>>>>>175 MPix. And that's just the current demonstration, not a
>>>>>>hard limit. So there's no way any DSLR is even near the limit,
>>>>>>despite your ignorant claims.


>>>>> Despite your technological ignorance, I'm not saying anything is near
>>>>> a limit. I'm saying that whatever the technological limit is (and it
>>>>> has changed drastically over the years) you can do better job of
>>>>> sampling the individual color channels with 3 sensors at that limit
>>>>> than with 1.


>>>>You're fresh out of arguments, thus the personal attacks.


>>> If personal attacks signals being fresh out of arguments, you would
>>> have lost long ago.


>>Kindly differenciate between shooting down your arguments and
>>attacking your person.


> I am.


I ... doubt that.


>>>>> When that 120 MP sensor is eventually used in a camera (who knows when
>>>>> that will be) then the question of whether an AA filter is required
>>>>> will be answered with a resounding NO. And there will be no point in
>>>>> comparing that sensor with a 3 sensor system of the same resolution
>>>>> because a 120MP bayer sensor is way more than adequate. A 3 sensor
>>>>> system of that resolution is entirely overkill with any of the lenses
>>>>> any of us are likely to run into.


>>>>So basically you admit that your "But I can just buy 3 apples,
>>>>naah, naah, naah" is, in the end, completely pointless?


>>>>Thank you.


>>> Absolutely not pointless given the criteria that the single bayer
>>> sensor cannot resolve the individual color channels well enough to
>>> prevent aliasing.


>>Have you ever, *ever* heard of AA filters?
>>So where exactly is your problem?


> You mean the ones that turn photos into much unnecessarily and still
> don't prevent aliasing in all circumstances? Yes, I have heard of
> them.


I wasn't talking about using coke bottle bottoms as lenses.


>>And even if you haven't heard of an AA filter, the technology
>>is there for very high MPix sensors ...


> We're waiting.


| Traditionally, there are only three classes of people who use 'we' in
| describing themselves: Royalty (which you aren't), editors (no evidence
| that this applies) and people with tapeworms. Please let us know when
| you've been cured. --Hal Heydt, to Dennis O'Connor


>>> then an equivalent 3 sensor
>>> system (equivalent in terms of individual sensor size and pixel
>>> density) may be the answer.


>>Much as applying a hammer to your fingers may be the answer.


> It may be if the question is how to cause a blood blister and/or break
> your finger.


Yep, 3-sensor systems are a good idea if you want to hurt
yourself or get tortured.


>>> when you start bringing up 170MP
>>> sensors that you can't buy anywhere yet.


>>> Thank you.


>>Oh, but you can. At worst, you'll have to buy up Canon.


> Much easier to use a 3 sensor system.


Show me one DSLR using that in the last 5 years ...


>>>>>>Unfortunately, even at a mere 8 MPix, 3-sensor systems have hit
>>>>>>*their* practicable limit. They cannot be aligned properly.
>>>>>>Even if they are adjusted, they misadjust with use. To readjust
>>>>>>them on the fly, if that's even possible technologically, they'd
>>>>>>need to guess an awful lot without a specific target. And so on.


>>> And here you are admitting that using 8MP sensors (which were a
>>> technological limit at one time) a 3 sensor system would outperform a
>>> single bayer sensor.


>>And here you admit you do not need any drugs to hallucinate things.


> non-sequitur.


No: truth. Nowhere did I admit anything. Therefore you either
lie or are hallucinating!


>>>>> If you have the necessary color information at each sensor (which a 3
>>>>> sensor system does) it's not a big deal to align them with processing,
>>>>> similar to what something like registax does. It just takes processing
>>>>> power, which today's computers have more than enough of. You only need
>>>>> to interpolate values between any 2 pixels of the same color, which is
>>>>> much easier and better than what the demosaicing algorithms of a bayer
>>>>> sensor have to deal with.


>>>>4 pixels, they're misaligned horizontally, vertically and
>>>>rotationally. So you're interpolating between 4 values, need
>>>>demosaicing techniques (like gradient observation) to make actual
>>>>use of the pixels and are still nowhere as good as you claim
>>>>you are.


>>> You need to interpolate way more than 4 pixels to get a decent image
>>> out of a bayer cfa. So you're still ahead with the 3 sensor system.


>>'So'? While there is a "interpolation is worse than the
>>data straight from the pixel" rule, there is no "more pixels
>>interpolated means worse data" rule. In fact, for better quality
>>you need to interpolate between more than just 4 pixels in 3-sensor
>>systems to get better quality.


> But the interpolation isn't the problem at all. The problem is
> aliasing due to undersampling.


Or so you claim. It's not true, but that doesn't matter to
you.


> And while interpolation and upsampling
> is a good way to make it easier to remove aliasing with a
> reconstruction filter, it doesn't help if the original data is
> undersampled.


Only if you use the data in stupid ways.


>>>>>>And they are much heavier, troublesome and expensive, for no
>>>>>>better results.


>>>>> The only comparison point I was ever claiming that a 3 sensor
>>>>> monochrome system is better than a bayer cfa is in reducing aliasing
>>>>> in the color channels.


>>>>Irrelevant due to AA filter.


>>> Which limits resolution even further


>>Which is only relevant if the needed resolution is met.


> Which it isn't, by definition of the argument.


So you define the resolution of a 2MPix 3-sensor camera as
OK, but the resolution of a 32 MPix Bayer camera as not OK.

All right!


> Obviously if a bayer
> cfa with an AA filter meets the required resolution, then that's all
> you need. But the argument is that if it doesn't meet the required
> resolution, then one way of increasing the resoltion is by using a 3
> sensor system with 3 sensors, each one equivalent in size and density
> of the bayer. Where have you been? No wonder you're so confused. You
> don't even understand what you're trying to argue against.


So you advocate one of the costliest, heaviest, most inconvenient
ways to increase the resolution with the argument that pixel
sizes cannot shrink enough, which is patently untrue.

Have you seen the pixel sizes of the current 14 MPix compact
cameras, using miniature sensors?

No wonder that you're a pighead.


>>> and doesn't solve aliasing.


>>Aha. Do you have proof for that? Not only that *some* camera
>>implementations have an too light AA filter, but that there *can*
>>be *no* AA filter that solves aliasing?


> It's always a tradeoff. If you have a strong AA filter then you limit
> resolution to much lower than the sensor resolution.


That's not proof you need such a strong AA filter to avoid
moire. So you have no proof.


> If that's all you
> need, then fine, that's all you'll get. If you need more, then the 3
> sensor system can give you more.


Just as 3 prostitutes can give you more than your wife, but
it's not worth it.


> You really need to understand what
> you're arguing against or else you'll just look as confused as you
> are.


There is no circumstance in where any given 3-sensor systems have
any advantage over a well chosen Bayer sensor.


>>>>> And it is better in doing that, and any claims
>>>>> otherwise show an ignorance of sampling theory.


>>>>Not at the same cost.
>>>>Not at the same weight.
>>>>Not at the same sensel count.


>>> Yes, yes, and yes. I never claimed the same cost, weight or selsel
>>> count. I claimed more cost, more weight and 3x the sensel count. And
>>> it's that 3x the sensel count that gives you the benefit I'm claiming,


>>And 3 times the silicon real space.


> Using 3 separate equivalent sensors.


So? One can build a single sensor from 3 separate pieces of
silicon --- actually, that's being done today where extra large
sensors are needed.


>>That's not equivalent in any way.


> See the sentence above for why it is equivalent in a way.


>>>>BTW, Bayer is also better than Bayer in reducing aliasing in
>>>>the colour channels, if you triple the sensel count.


>>> Which you cannot do without increasing the sensor size and/or pixel
>>> density.


>>So?


> Lol... Talk about equivalence.


You're the one who insists 3 guns are equivalent to one gun.

> You want to increase the sensor size
> and/or pixel density and say they are equivalent. Once again, you're
> looking fooling because you don't understand what you're arguing
> against.


Oh, sure, you're yammering about equivalence. 3 times the
sensor size, 5 times the cost, 10 times the weight, 3 times
the sensels, ... and it's equivalent. But if *I* should dare
to mention an equivalent image resolution sensor, I "don't
understand what I am arguing against". Of course, you are
right, I *am* arguing against a fool, who drags me down to his
level and beats me there with his experience, and I only just
realized.


EOD


-Wolfgang
 
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TheRealSteve
Guest
Posts: n/a
 
      04-27-2012

On Thu, 26 Apr 2012 01:59:59 +0200, Wolfgang Weisselberg
<> wrote:

>TheRealSteve <> wrote:
>> On Mon, 23 Apr 2012 05:02:29 +0200, Wolfgang Weisselberg
>>>TheRealSteve <> wrote:
>>>> On Sat, 21 Apr 2012 07:25:36 -0700, nospam <>

>
>>>>>the data is precisely calculated and with a known error that is nearly
>>>>>always imperceptible.

>
>>>> Now you're playing the word games. Precisely calculated with an known
>>>> error. You're not making sense. If it's precisely calculated, it
>>>> wouldn't have an error, known or otherwise. And if there is a known
>>>> error, it can be eliminated.

>
>>>You have never worked with measurements with a known error band.
>>>You have not understood the difference between precision and
>>>exactness.

>
>> And you don't understand the difference between accuracy and
>> precision.

>
>You do? So how comes you don't grasp error bands?


Yes, I do

>>>Specially for you:
>>>If I measure a paper to be 0.01 mm thick, with a measurement error
>>>of 10%, then 1000 sheets of that paper would be 10±1mm thick.
>>>That's a precisely calculated result, with a known error (band).

>
>> Actually, it's a precisely calculated estimate,

>
>Actually, it's a result. It's even a correct result, and
>more than that, it tells about it's own accuracy. You could
>increase the precision: "10.000±1.000 mm".
>
>> and it's only an estimate.

>
>Please look up the word "estimate". The OED says: "judgement or
>calculation of the approximate size, cost, value, etc of sth".
>It's neither a judgement or an approximation, therefore it's not
>an estimate.


Your result fits your own definition of estimate. It's approximately
10mm thick. Not exactly, but approximately. The calculations can be
very precise but the result of the calculations is only an estimate of
the real thickness of the paper.

>If it was "ca 1 cm" then it would be an estimate.


It's still an estimate. But an estimate presented with less precision
in the calculations.

>> It can be very precise but not be accurate.

>
>In fact, it's accurate to 10%.


Which is why it's an estimate.

>You could, however, measure the thickness with any wanted
>precision and accuracy, given enough time and money. And
>then the 'estimate', as you insist on calling it, would be
>just as precise and accurate.


If you actually measured the thickness of the 1000 sheets of paper,
that would no longer be an estimate. It would be a measurement of the
actual thickness of the paper to some degree of accuracy and
precision. Man, you really don't understand the difference.

>> As an example showing the difference, think of an archer hitting a
>> target with arrows that are spread all over the place but the average
>> position of them all is centered at the bullseye. That is high
>> accuracy but low precision. Now, if all the arrows hit within 1mm of
>> eachother but were far off the center, that is high precision but low
>> accuracy.

>
>Interesting try. It's wrong of course, the archer would have
>a low/high repeatability and a medium/high error.


Of course it's right. You just don't understand the terms accuracy and
precision. Neither do you understand the terms estimate and
measurement of some physical parameter.

>>>> The problem is that the error is unknown
>>>> within a statistical bounds. That's why it's only an estimate. You
>>>> either don't understand simple concepts or you're just playing games.

>
>>>You're talking about things you don't understand well enough.
>>>All you could say is something about where to set the error bounds.

>
>> It's obvious that you don't understand these simple mathmatical
>> concepts.

>
>It's obvious that you define anything calculates with an error
>band to be an 'estimate'. That's of course your privilege,


Actually, I don't. You can have an actual measurement that's not an
estimate that has an error band. What is an estimate is something that
you don't actually measure, but calculate from other things (that
themselves have error) that indicate what you might actually measure
had you measured it. If you actually measure something (like the
amount of red light on the green pixel) then the result would no
longer be an estimate, even if there is some error band in the
measurement.

>but do not try to force your (mis)use of words on others. If
>you wish to communicate, you need to use the words as they
>are defined by others.


So do you.

>> You don't understand how calculating an estimate with a
>> statistical error associated with it is different than calculating the
>> answer of 2+2.

>
>2+2 = 3.994 ± 0.008


While your answer could be more accurate and precise, it's also not an
estimate because you have all of the data necessary to come up with an
exact answer. Instead, it's an error introduced by your calculation
and not the algorithm '+'. You really need to get a better calculator.

On the other hand, calculating the missing values of colors on
unsampled pixels is an estimate because (unlike the algorithm '+' and
it's two paramters) you do *not* have all the data necessary to come
up with the correct answer. If your calculations for executing the
demosaicing algorithm were as imprecise as your '+' example above,
good luck getting a decent picture from it. Because then you're adding
an unacceptable amout of calculation error to your estimating
algorithm.

You really need to brush up on this stuff.

Steve
 
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TheRealSteve
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      04-28-2012

On Thu, 26 Apr 2012 03:22:25 +0200, Wolfgang Weisselberg
<> wrote:

>TheRealSteve <> wrote:
>> On Mon, 23 Apr 2012 02:53:04 +0200, Wolfgang Weisselberg
>>>TheRealSteve <> wrote:
>>>> On Fri, 20 Apr 2012 13:08:31 +0200, Wolfgang Weisselberg
>>>>>> On Wed, 18 Apr 2012 00:18:22 +0200, Wolfgang Weisselberg
>>>>>>>TheRealSteve <> wrote:

>

[...]
>> And there enlies the problem. The strong response of the red color
>> sampling in the red pixels is sampled at a lower rate than the weak
>> red response in the green pixels. Therefore, the red sampling in the
>> red pixels has a much better chance of being aliased than the red
>> sampling of the green pixels.

>
>OK, let's try a thought experiment.
>
>Let us assume we have a monochrome sensor.
>
>Let us further assume that 1% of the sensor's pixels happen
>to have a red pass filter.
>
>So every 10x10 pixel group has a single red pixel:
>
> 1
> 1 2 3 4 5 6 7 8 9 0
>
>1 O O O O O O O O O O
>2 O O O O O O O O O O
>3 O O O O O O O O O O
>4 O O O O O O O O O O
>5 O O O O r O O O O O
>6 O O O O O O O O O O
>7 O O O O O O O O O O
>8 O O O O O O O O O O
>9 O O O O O O O O O O
>10 O O O O O O O O O O
>
>... the red pixel on the 5/5 position.
>
>Now, let us assume red lines, which, focussed on the sensor,
>are about 2 pixels wide, followed by a ca. 2 pixel wide gap.
>Let us further assume the red pixel in *this* 10x10 grid is on
>the maximum of a line:
>
> 1 2 3 4 5 6 7 8 9 0
>
>1 O O O O O O O O O O
>2 o o o o o o o o o o
>3 . . . . . . . . . .
>4 o o o o o o o o o o
>5 O O O O R O O O O O
>6 o o o o o o o o o o
>7 . . . . . . . . . .
>8 o o o o o o o o o o
>9 O O O O O O O O O O
>10 o o o o o o o o o o
>
>(On the next 10x10 grid the red pixel is in a minimum. You
>could say, the red pixels, seen alone, are aliased.)
>
>Now, the monochrome value of the position 5/5 is interpolated
>from the monochrome pixels around it. It's obvious that the
>monochrome pixels are not aliased and can resolve the lines
>well.
>
>So what happens, is:
>1. the monochrome pixels are interpolated as needed for the
> red pixels
>2. the monochrome pixels are read for the structure
>3. the red pixels are read for the amount of red ion the
> structure. This is *not* done by simply interpolating the red
> pixels. That would give aliasing.
> This is done by cross-referencing the red with the monochrome
> value at the 5/5 pixel. These corrected values are then
> interpolated.
>4. Thus in 10x10s where the red pixel is fairly dark and the
> monochrome value calculated for the red pixel is also
> fairly dark, we have a high noise (as we amplify the read
> red pixel value), but we have the correct amount of red.
>5. This leads to the output's red colouration not being
> aliased as much as your simple model assumes.


Here's the problem: Your 5 above. The output's red coloration *is*
aliased. You even admit it with the qualifier "not being aliased *as
much* as..." So you're admitting that it's aliased and that you will
have alias artifacts in the final demosaiced image, probably seen as
color banding.

If every sensor position had an actual measurement of all the colors,
you would not get aliasing at all in your example.

>
>In Bayer-pattern sensors, the green pixels take the
>monochrome pixels role of this example.


And even the green pixels of a bayer cfa are only sampled every other
pixel while in a 3 sensor system, you get a sample every pixel. So
right there your susceptibility to aliasing is increased with a bayer
cfa.

>> And once you get aliasing in any of the
>> channels, you get alias artifacts.

>
>See above, I think I have made it clear even to you that this is
>not necessarily so.


Actually, you made it even more clear that this is necessarily so.
Thank you for agreeing with me.

>> The only way to lower the greater
>> amount of alias artifacts coming from the lower sampled channels is to
>> ignore the lower sampled rate data. But that brings up other problems,
>> like not having enough data at all to come up with chroma information.

>
>You're stuck on the (independent) 'channels' model. This is
>not what happens.


Yes, it's exactly what happens. Individual channels are sampled
individually. The way they are combined cannot completely eliminate
alias artifacts if they are present in the individual channels. You
even admitted that in your example.

>> And since we're trying to eliminate the harsh AA filter, that's not
>> the answer either.

>
>Who is this 'we' you're talking about? I'm *emphatically not*
>trying to eliminate an AA filter, harsh or otherwise. This
>is not the time for it.


Increasing resolution is the entire premise and an AA filter works
against that premise. No wonder you're confused.

[...]
>>>Show me a test chart that
>>>a) creates aliasing in a colour channel

>
>> Easy. You don't even need a test chart. Just look at the picture of
>> the suit jacket that has been circulated.

>
>That's not what I asked for. And you know it.
>I asked for a test case. Not for 'proof' that *one* camera
>with *one* AA filter and *one* demosaicing algorithm might
>have problems.


Well, if you haven't seen example test charts that are included with
every DP review that show some color banding when the line resolution
gets smaller than nyquist, I can't help you. Just look at any almost
high quality camera review (cameras that at have the ability to
resolve better than their sensor has the ability to capture) and
you'll see some.

But since you asked for a test case, here's an example of a test chart
showing color banding below nyquist even with an AA filter:

http://www.dpreview.com/reviews/canoneos550d/18

It also has a writeup of AA filters, resolution, nyquist, etc.

>>>b) defies the AA filter in the camera

>
>> Which we're trying to reduce or eliminate because it robs the camera
>> of resolution. If you have to blur the pictures to mush, what's the
>> point of having a high resolution sensor?

>
>Polemics.
>
>Anyway, who is 'we'?


Anyone who is trying to get the most resultion out of their camera.
That includes anyone who purchases one of the high end cameras that do
not include AA filters, like Phase One, Nikon D800e, Mamiya,
Hasselblad, etc., etc. I've listed them before.

>>>c) would not create aliasing with a monochrome sensor (i.e. one
>>> with not a per-pixel filter) with the same pixel size and
>>> density.

>
>> This is the easiest one of all. Just use a spatial resolution in the
>> test chart that's greater than the red/blue or even green pixel
>> density but is not greater than the overall monochrome pixel density.

>
>Sorry, it needs to be the *same* test chart. Every condition
>in the *same* test chart.


Standard test charts have lines that are arranged like radial spokes
and are labeled at different points with lpm values. Have you never
seen one? If you use one of those standard charts you'll see that the
monochrome sensor will go further into the lower lpm area of the chart
before aliasing than a bayer sensor of the same size and pixel
density.

>>>d) shows a situation that happens in the real world

>
>> Also easy. Just look at the picture of the coat. There is a very high
>> chroma mosaic pattern but not much luma mosaic pattern.

>
>Aliasing is not only mosaic patterns. And "not much" doesn't
>mean NONE. And it's --- again --- not a test case.


There isn't a all or none. There's a more or less. Since less of the
input signal is above nyquist with the monochrome sensor than the
bayer sensor, then less of it will be aliased. That is shown perfectly
with the real world example you asked for. Just because you choose to
ignore it doesn't mean it doesn't exist.

>Really, if I want to examine under which conditons 2 cars
>driving towards the same intersection will crash and what one
>can do about it (maybe traffic lights?) you don't need to
>point me at the image of a car crash.


Another red herring and specious and poor analogy. Nice,

>>>Then we can talk ...

>
>> Somehow I still doubt you'd be qualified to talk about it.

>
>Somehow I doubt you're even qualified to understand what a
>test case is.


You mean the one that shows you're wrong but you choose to ignore
because it doesn't support your point? That test case? lol

[...]
>> The whole point of the 3
>> sensor system is to get more pixels and more overall sensor space
>> without having to use larger and higher density sensors.

>
>An answer waiting for an unsolved problem.


Almost right ... the answer has been used to solve the problem where
it makes sense.

>> If you want
>> to eliminate the whole point of using a 3 sensor system, then you're
>> biasing the result.

>
>If your system is not competitive, it's "biasing the result"
>to point that out?


But it is competitive in the only area I'm considering for the
evaluation: reducing aliasing without increasing sensor size or pixel
density. The fact that you choose to bring in all the other red
herrings like size, cost and complexity proves you don't want to admit
that it does do exactly what I said.

>> That's just as stupid as if I were to say, if the
>> 3 sensor system has to use sensors that are 1/3 the size of the bayer
>> sensor then you have to use a monochrome filter on your bayer sensor,
>> just like one of the 3 sensor ones, or else it's not equivalent.

>
>That would be workable for Bayer --- each pixel gets a monochrome
>filter. Actually, I can use 3 monochrome filters, all in all,
>since your 3-sensor system uses 3.


So now you have to go away from what a bayer cfa is to make your point
about a bayer cfa? That's hilarious. Sure, you can say "if I turn the
bayer cfa into a 3 sensor system, it won't be worse than a 3 sensor
system." But then you're not proving anything about a bayer cfa.

>> Now
>> try to resurrect a color image from sensor with a monochrome filter.
>> You *have* to do that to keep it equivalent with the 3 sensor system.
>> Idiotic.

>
>Oh, well, long ago I told you to compete on price, weight, size
>and all that real world relevant stuff.


And I told you that the only point I'm considering is aliasing using
the same sensor size and pixel density. If you can admit the fact that
the 3 sensor system beats the bayer cfa on that comparison, I can
easily admit (as I already have done) that the bayer sensor beats the
3 sensor system on price, weight and size. In fact, that's some of the
reasons why the inferior bayer sensor is used at all. It's cheaper,
weighs less and is smaller. It's not because of the image capture
performance.

[...]
>> By my logic, only if the sensor size is the same. Remember, I said
>> pixel density *and* individual sensor size are the same.

>
>Who says *individual* sensor size?


I do. That's the point of the comparison. That you can reach a limit
for the sensor size and whatever that limit is, you can have 3 of them
and perform better than a single one of that size.

You really are missing the point. That's why you seem so confused. Try
to stay focused and stop bringing up all the specious arguments and
you'll be much better for it.

[...]
>> Exactly. And it's the difference between the 1 and 3 sensors that
>> gives the 3 sensor system the resolution advantage over a single bayer
>> cfa of the same size and density as the ones used in the 3 sensor
>> system. Now you're finally starting to get it, I think.

>
>*sigh*.
>There is no 'resolution advantage' worth to speak of for all the


But there is a resolution advantage, just that *you* don't want to
speak of it.

>drawbacks that a 3-sensor system has. Note that the D800 does
>have *one* sensor. Not 3. Note that all the medium backends do
>have *one* sensor. Not 3. Some even shift the sensor by a pixel.
>And still they're not using the 'simple' 3-sensor model.


Due to other factors besides resolution. The whole point is that if
they wanted to increase resolution by using 3 of the same sensor vs.
one bayer cfa, they could do it with the resultant increase in size,
weight and cost. That they don't do it only means they feel the extra
resolution of the 3 sensor system isn't worth it for their cameras. It
doesn't mean that the 3 sensor system doesn't have a resolution
advantage over an equivalent bayer cfa... a fact that you keep evading
by bringing up all these specious arguments.

>In theory, and excluding real life, a 30,000-sensor system
>has a much higher resolution than a 3-sensor system.


If you had to measure 30,000 different color bands to create a color
image, then yes. But since you don't, this is just another one of your
red herrings.

[...]
>It (that being the mythical 'advantage') comes at a higher
>cost than simply increasing the pixel density or increasing the
>sensor size.


Correct. You're finally getting it (I think). You can get the
advantage of higher resolution without increasing pixel density or
sensor size.

>You don't grasp that.


Of course I grasp that. I've said the same many times. What you
obviously don't grasp is that you can get a resolution advantage with
a 3 sensor system over a bayer cfa without having to increase the
sensor size or pixel density.

[...]
>So you agree I am 100% right here.


I agree that if the resolution of the least sampled channel of a bayer
cfa is greater than the rest of the camera system, then there's no
need for a 3 sensor system. I've said that many times. A 3 sensor
system is only needed when you can't get enough resolution out of a
bayer cfa at whatever the current technological limit is for pixel
density and sensor size.

[...]
>The technology to make higher pixel density Bayer sensors is
>also better than the lenses you are going to run into, so
>3-sensor systems are irrelevant.


Nope, not irrelevant for any particular sensor and camera system.

[...]
>>>So why not use a 100-sensor system? The non-perfect alignment of
>>>the sensors allows us to render subpixels! Why not a 10,000-sensor
>>>system? That would allow even smaller subpixel rendering!

>
>> Because you don't need to and because we were discussing a 3 sensor
>> system vs. a bayer cfa. No need to confuse yourself even further with
>> specious arguments.

>
>Hey, *you* started specious arguments, why am I not allowed to
>lead your 3-sensor resolution advantage to it's logical conclusion?


Unlike you, I haven't made a specious argument yet. But at least you
admit your 100 or 30,000 sensor system is specious. If you stick to
real arguments you'll be much better off.

[...]
>> No, it's not. Sensor size is the same. Overall sensor size is 3x as
>> large, which is the point of using a 3 sensor system.

>
>And thus the sensor size is 3 times as large. Just because
>you use several sensors doesn't mean you get the silicon for
>free.


But there's a limit to the size of any one sensor. You can overcome
that limit by using 3 of the same ones. Are you really having that
much trouble grasping that concept or are you just arguing for the
sake of argument and since you can't come up with anything valid you
just keep throwing out red herrings and specious points?

>> You get 3x the
>> sensor area with the same sensor size and pixel density by using 3 of
>> them.

>
>A waste of silicon, just build a larger Bayer sensor.


Until you can't anymore. First, there's the size of the wafers of
silicon. And second, the larger you make any single sensor, the more
chances you have for an unaccepable number of defects, i.e., bad
pixels on any single sensor. You seem to be ignoring those two real
world facts with your specious argument. Also, just making the sensor
larger doesn't help. You then have to make the image projected on the
sensor larger and you're still undersampling it with a bayer cfa. So
you still have the same problem. Increasing the pixel density is the
way around the problem with the bayer cfa. But there's a limit to that
as well.

[...]
>>>And now the gun is much larger, has an equivalent diameter of
>>>over 2 times larger --- and you say they're equivalent?

>
>> It's not one gun that's any larger. It's 3 equivalent guns vs. one.

>
>Ah, yes, the pepperbox versus the machine pistol. The pepperbox
>(the multi-sensor approach) has indeed many more barrels.
>The machine pistol is way deadlier and shoots faster. Even
>though it has only one barrel.


Another specious argument. No, it's not the pepperbox vs. the machine
pistol. It's one machine pistol vs. 3 machine pistols. I hope you're
smart enough to undestand that you're in a worse position if you're
facing an enemy with 3 machine pistols firing at you vs. one. Neither
is very good. 3 is worse.

[...]
>So you need 3 photographers, one releasing the shutter for
>each sensor, so to say.


Yet another red herring. You are full of fish today. No, you need 3
sensors not 3 photographers.

[...]
>>>If the channel is built solely from red respective blue pixels,
>>>and then interpolated from that data only, yes.

>
>> Even if it's not.

>
>See above.


Above, you agreed that your example will alias the color channel and
will have aliasing in the image as a result. A 3 sensor system using
your example would not.

>> The fact is that you are sampling different
>> frequency bands of light at different spatial resolutions and whether
>> aliasing is present in the final image is determined by the lowest
>> sampled resolution, not the overall resolution.

>
>Nope. If I record luminance and fill it with colour --- just as
>e.g. most JPEGs do --- I don't get aliasing by undersampling the
>colour compared to the luminance.


lol... you don't seem to realize that the color you're filling the
luminance with *is* aliased due to undersampling. That's why you get a
lot of color banding and not much luminance banding.

[...]
>Can you prove your claim? As in "mathematical proof that
>there is no way you can *not* get aliasing when undersampling
>colour"?


Look up Nyquist theory. It's been proved a long time before we started
this argument.

[...]
>> Which is why you use 3 of them, to get the color information at the
>> same resolution as a monochrome sensor.

>
>Again --- 3 sensors. For no good technological reasons.


Just because you don't consider increased resolution without
increasing sensor size and pixel density a good technological reason
doesn't mean it's not.

>>>trade some luma resolution for chroma resolution ... and gain
>>>in the end.

>
>> You can do all the trades you want. You'll still get alias artifacts
>> in the final image if any of the color channels are aliased.

>
>Proof?


Again, see not only Nyquist but your #5 point in your example above.

[...]
>Sensors being aligned is specious. They won't be.


Saying they won't be is specious. They can be aligned both
mechanically and digitally. And digitally aligning a 3 sensor system
comes at much less cost in terms of resolution than a bayer cfa.

[...]
>> Now you're getting it. You get 3 times the sensor size by using 3
>> sensors that are equivalent to the bayer sensor. Finally!!!!!

>
>So I buy a Bayer sensor 3 times the size instead and get
>there cheaper and with more resolution.


Specious again. Ignoring the physical realities of getting a bayer
sensor 3 times the size into the same image area, you can then just
use 3 of those same sensors with a 3 sensor system and the bayer loses
it's advantage yet again. As stated above, the problem with using a
larger bayer sensor is that then you have to change the image size
projected onto it. If you do that with high enough quality lenses,
then your resolution advantage goes away because you're still
undersampling the area of the image, only the image is larger. The 3
sensor system samples the same image area with a higher spatial
resolution.

>>>>>> That's why 3 sensor systems are used,

>
>>>>>Where?
>>>>>At what resolution?

>
>>>> How about TV cameras that are old enough to be require 3 sensor
>>>> systems because a single sensor that could provide the required
>>>> resolution was beyond the limit of the technology at the time?

>
>>>It wasn't about resolution, it was about being able to place
>>>the colour filters for the pixels and to interpret them fast
>>>enough. Old TV cameras were all analogue.

>
>> I just saw a 60 minutes piece in high def that used a 3 sensor system
>> for the camera. So it's not only about old analog TV.

>
>Old HD system. And HD is a whopping *2* MPix. You wanna shoot
>with a 2 MPix camera, you buy an old 2002 one.


Lol.. you ask for an example, I give you one, then you ignore it with
specious arguments.

[...]
>>>See above: give me a test case.

>
>> Already provided in the example of the suit jacket with high amounts
>> of color banding but much less luma banding.

>
>That's not a test case, any more than a single misfocussed
>shot is a test case for the camera misfocussiong.


You ask for a test case and you want to ignore it with a red herring
about focus. Ok, if the test case you were asking for what what would
happen when a shot is misfocused, a misfocused shot is a good test
case to show it. But since you asked for a test case that shows color
banding, a test case that shows color banding is a good test case no
matter how much you would like to ignore it because it proves my
point.

[...]
>>>LOL. You're the one claiming a limit. I showed you the
>>>pixel density is there, and not a problem.

>
>> Lol! Show me a 170MP DSLR camera.

>
>You keep repeating yourself, this shows you haven't understood.


Hmm, repeatedly asking you to show me a 170MP DSLR when you claim that
it exists doesn't prove anything about my understanding. It only
proves your point is specious.

>OK, show me a 20 MPix 3-sensor camera. That should be doable
>... shouldn't it?


Actually, there are many cameras that are greater than 20MP that use
color filters on a monochrome sensor in order to solve the same
problem with the bayer cfa that a 3 sensor system also solves. But
they can get away with using the filters because they're not trying to
capure critical time alignment.

[...]
>>>Name me one 3-sensor DSLR from within the last 5 years.

>
>> Right after you show me a 170MP DSLR.

>
>Ah, you cannot.


Ah, you cannot.

>> And don't worry, I will be able
>> to show you a camera system that has the color resolution of the
>> monochrome sensor of an equivalent bayer cfa.

>
>At 2 MPix. Yawn.


Nope, at much higher than 20MP. So stop yawning.

>> But you have to show me your 170MP DSLR first.

>
>It's standing between your 20 MPix 3-sensor DSLR and your 3-sensor
>DSLR that's younger than 5 years.


So you finally admit your 170MP DSLR is a specious argument. Nice.

>Unfortunately, it's the only camera of the three that will indeed
>materialize in the future.


Maybe. I hope so. But it's not here yet, which is the point.

Steve
 
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