F707's 5mp vs 3mp again....

If it were, the cheaper Fuji 3mp super ccd
interpolated to 6mp, would have better resolution than the 707, but
it doesn't.

The question then becomes whether or not you would be happy with
lower res images. If the answer is yes, then why spend the money
on the 707?
Agreed. But wont you like to know if your camera's buit-in quality is good enough to do that kind of upscaling? I mean, what if we do find that we can do a simple unsharp mask and produce a 10mp from the 5mp? Larger print size and still kicks Fuji's behind, right? ;p

jc
 
Let me know which one you think is which in this new test.

I uploaded the images to Pbase this time in hopes that they will download faster than ImageStation. Each image is about 250k so be patient for downloading.

Oh yeah, cheating will not be tolerated. :-)

IMAGE #1



IMAGE #2

 
If it were, the cheaper Fuji 3mp super ccd
interpolated to 6mp, would have better resolution than the 707, but
it doesn't.

The question then becomes whether or not you would be happy with
lower res images. If the answer is yes, then why spend the money
on the 707?
Agreed. But wont you like to know if your camera's buit-in quality
is good enough to do that kind of upscaling? I mean, what if we do
find that we can do a simple unsharp mask and produce a 10mp from
the 5mp? Larger print size and still kicks Fuji's behind, right? ;p
That's just not going to happen.
 
I think that #1 has ever-so-slightly-much-more detail.

Not as obvious as Round #1 and with more movement in the shot (it appears)

Z
Let me know which one you think is which in this new test.

I uploaded the images to Pbase this time in hopes that they will
download faster than ImageStation. Each image is about 250k so be
patient for downloading.

Oh yeah, cheating will not be tolerated. :-)

IMAGE #1



IMAGE #2

 
The 2nd image is the 5 meg 707.........clearly....and if its not ....seeing I will be using an A3 printer it means I would be better off buying a Fuji s602 and not the Sony 707....right ?
In honor of Bobbo's earlier discovery and thread

http://www.dpreview.com/forums/read.asp?forum=1009&message=2527304

I'm posting my own pair of test images below.

The test consisted of taking two consecutive pictures differing
only in the selected resolution, one in the F707's native 2560x1920
and the other in the F707's 3mp equivalent, 2048x1536. The camera
was set to F5.0, Outdoor WB, Infinity focus, shutter 1/400 second.

One of the images below is a 480x480 crop from the center of the
5mp image, saved at the highest PhotoShop JPEG quality and shown at
100%.

The other image started with the 3mp image original, resized in
Photoshop to 2560x1920, and then cropped and saved as above.

I'm not telling you which one is which. I think I can tell now if
I were given the same test but it is very, very difficult to
discern any real difference, other than the leaves blowing ;-)

Let me know which one you think is which...

IMAGE #1



IMAGE #2

 
You just answered the questions I had about the sharpen settings.

It is interesting, isn't it?
 
but doesn't this test just show that the in camera resizing algorithm of the F707 is almost as good as Photoshop? Or am I missing the point?
Let me know which one you think is which in this new test.

I uploaded the images to Pbase this time in hopes that they will
download faster than ImageStation. Each image is about 250k so be
patient for downloading.

Oh yeah, cheating will not be tolerated. :-)

IMAGE #1



IMAGE #2

 
but doesn't this test just show that the in camera resizing
algorithm of the F707 is almost as good as Photoshop? Or am I
missing the point?
No, I don't see it that way.

The F707 resizing is used to make the 5mp the same size as 3mp. We know the algorithm is good and this test demands that. If we used Photoshop to resize the 5mp original to 3mp and compared that to the 3mp version from the F707, THEN we'd be comparing the two.

Common sense says that if you take a 5mp image, reduce it and then turn around and enlarge it, it should have lost detail. Of course, if we were to reduce the 5mp in half and then enlarge it to 5mp again, we would definitely see a difference, but we're just reducing it about 20% in each dimension.

This can be valuable because you can save more than 50% more shots on your memory stick at the 3mp resolution.

Remember, we are testing on a 5mp camera, the F707 in particular, but this pertains to nearly all digicams in existance today.
Let me know which one you think is which in this new test.

I uploaded the images to Pbase this time in hopes that they will
download faster than ImageStation. Each image is about 250k so be
patient for downloading.

Oh yeah, cheating will not be tolerated. :-)

IMAGE #1



IMAGE #2

 
You are right, you should get the F707, but check out Test #2 now. The images are very similar...

http://www.dpreview.com/forums/read.asp?forum=1009&message=2559829
In honor of Bobbo's earlier discovery and thread

http://www.dpreview.com/forums/read.asp?forum=1009&message=2527304

I'm posting my own pair of test images below.

The test consisted of taking two consecutive pictures differing
only in the selected resolution, one in the F707's native 2560x1920
and the other in the F707's 3mp equivalent, 2048x1536. The camera
was set to F5.0, Outdoor WB, Infinity focus, shutter 1/400 second.

One of the images below is a 480x480 crop from the center of the
5mp image, saved at the highest PhotoShop JPEG quality and shown at
100%.

The other image started with the 3mp image original, resized in
Photoshop to 2560x1920, and then cropped and saved as above.

I'm not telling you which one is which. I think I can tell now if
I were given the same test but it is very, very difficult to
discern any real difference, other than the leaves blowing ;-)

Let me know which one you think is which...

IMAGE #1



IMAGE #2

 
Here's a very useful thought along the same lines as the previous discussion concerning "real" pixel information vs "perceived" information.

If you are shooting at max digital zoom with your F707, you might as well use the 1280x960 mode and save memoryStick space because your image doesn't even contain that much information.
 
Whoops, I mixed up which way the resizing was done.

I agree that your test is a good example of the quadratic costs of additional resolution, e.g. going from 2MP to 4MP really only gives about 40% more resolution not 100% (1.41=4^0.5/2^0.5), while going from 5MP down to 3MP only costs 22.5% in resolution, so you hardly notice the difference from resizing back to 5MP when viewing at 100%.

Seeing this example gives me more confidence that the Sigma SD9 will have planty of reslution for all my uses.
but doesn't this test just show that the in camera resizing
algorithm of the F707 is almost as good as Photoshop? Or am I
missing the point?
No, I don't see it that way.

The F707 resizing is used to make the 5mp the same size as 3mp. We
know the algorithm is good and this test demands that. If we used
Photoshop to resize the 5mp original to 3mp and compared that to
the 3mp version from the F707, THEN we'd be comparing the two.

Common sense says that if you take a 5mp image, reduce it and then
turn around and enlarge it, it should have lost detail. Of course,
if we were to reduce the 5mp in half and then enlarge it to 5mp
again, we would definitely see a difference, but we're just
reducing it about 20% in each dimension.

This can be valuable because you can save more than 50% more shots
on your memory stick at the 3mp resolution.

Remember, we are testing on a 5mp camera, the F707 in particular,
but this pertains to nearly all digicams in existance today.
Let me know which one you think is which in this new test.

I uploaded the images to Pbase this time in hopes that they will
download faster than ImageStation. Each image is about 250k so be
patient for downloading.

Oh yeah, cheating will not be tolerated. :-)

IMAGE #1



IMAGE #2

 
In my original post were I brought up this subject:
http://www.dpreview.com/forums/read.asp?forum=1009&message=2527304

I explained that the F707 has a resolution efficiency of 75% (actually 75.5% in DPReview's test). I then realized that theoretically a 2560x1920 (5MP) image could be reduced to 1933x1450 (2.8MP) and retain all the detail in the original image. Since the F707 has a 2048x1536 (3MP) mode I did an image quality test at 5MP and 3MP with the results shown in the above post and added an image from an excellent 3MP camera for comparison. The question is how well does the internal resampling of the F707 reduce a 5MP image to 3MP (it doesn't do a good job reducing to 640x480 as Shay has shown), if the two images are very close in quality then the 5MP mode is just a waste of MemoryStick space and using it would make as much sense as the TIFF mode.

Now don't get upset that your 5MP F707 has the resolution of a 3MP camera, it doesn't. All digital cameras behave this way (the F707 has the highest resolution efficiency measured). Using the 3MP mode on the F707 is not the same as taking a picture with a 3MP camera. The image is taken at 5MP and resampled down to 3MP, but since the image only has 2.8MP worth of detail nothing may be lost. The maximum resolution in a 3MP camera image is 1546x1160 (1.8MP) at best. Compare the 3MP F707 and 3MP camera images from my post above.

For reference:
75.5%, 2560, 1920 etc. are linear values
5MP, 3MP, 2.8MP and 1.8MP are area values
The actual image areas are - 4.92MP, 3.15MP, 2.80MP and 1.79MP
 
Whoops, I mixed up which way the resizing was done.

I agree that your test is a good example of the quadratic costs of
additional resolution, e.g. going from 2MP to 4MP really only gives
about 40% more resolution not 100% (1.41=4^0.5/2^0.5), while going
from 5MP down to 3MP only costs 22.5% in resolution, so you hardly
notice the difference from resizing back to 5MP when viewing at
100%.
It's been previously discussed how a 3mp camera will produce a cleaner looking 2mp or even 1mp image than respective 2 or 1 mp camera can. But now, this idea that you can reduce an image by 20% and not really lose any detail is remarkable in my opinion. We are not saying that the 20% will hardly be missed, it really wasn't there in the first place! Amazing!
Seeing this example gives me more confidence that the Sigma SD9
will have planty of reslution for all my uses.
My thoughts exactly. Can't wait for Phil's review.
 
So the thinking is
that is each pixel actually overlaps to some extent to adjacent
pixels, a nominally resized image would in fact contain just as
much information or detail.

Its difficult to accept because we are so accustomed to thinking
3mp is 3mp and 5mp is 5mp.
Sorry, nope, not buying it. I have yet to see any test or read any logic or mathematical argument that demonstrates the premise that in-camera resampling from 5mp to 3mp with post camera re-sampling back to 5mp, plus some additional PS wizardy, will result in an image with as much "information or detail" as the original 5mp image. Indeed, so far each of the tests have demonstrated that the process actually produces a readily perceptible loss of information and detail. (And, the math and logic agrees with the tests. When you resample down, you lose information that you aren't getting back by resampling up).

Of course, I'll freely acknowledge that the tests have also demonstrated that, when the images are viewed on the computer screen, the perceptible loss of information in an actual pixel crop might be overcome, if at all, by actually reducing the accuracy of the remaining information displayed on the screen in an effort to mimic the lost detail and fool the eye.

But to me, that is a 'so what.' It is interesting as an exercise, and kind of fun to know, but as to 'real world' application, so what. I rarely take pictures with the intent of creating an 'actual pixel' crop to be displayed on a computer. And, if I wanted a camera that only produced full-sized, un-cropped (or hardly cropped) pictures that look good on computer screens at 640x480, or 800x600, or even 1024x768, I wouldn't have bought a 5mp camera. And even with my 5mp camera, if I know that a picture is only going to be shown on a computer screen, I'll just skip down to 1240x960. Anything beyond that, including resampled 3mp images, is essentially wasted. (Hmm, maybe I should test this, to see whether there is any perceptible difference in the quality of an 800x600 image displayed on a computer screen, when it is resampled from original that is 5mp, or 3mp, or 1mp.)

Which is to say, I bought the 5mp 707 to produce prints that I can hang on the wall. I like being able to print an 8x10 or 11x14 without resampling. Heck, I'll even admit that I like to resample my 5mp images to produce a 16x20, or 20x30. For obvious reasons, the tests on this forum haven't shown that the resampled 3mp from the 707 produces an 8x10 that has equal quality (or an acceptable loss of quality) when compared to the 8x10 printed from a 5mp image.

But that's just my nickel's worth. Well, maybe it's not worth a nickel. Actually, probably isn't worth anything. Oh well, I'll just crawl back into my corner.
;-)

Howdy.
 
So the thinking is
that is each pixel actually overlaps to some extent to adjacent
pixels, a nominally resized image would in fact contain just as
much information or detail.

Its difficult to accept because we are so accustomed to thinking
3mp is 3mp and 5mp is 5mp.
Sorry, nope, not buying it. I have yet to see any test or read any
logic or mathematical argument that demonstrates the premise that
in-camera resampling from 5mp to 3mp with post camera re-sampling
back to 5mp, plus some additional PS wizardy, will result in an
image with as much "information or detail" as the original 5mp
image. Indeed, so far each of the tests have demonstrated that
the process actually produces a readily perceptible loss of
information and detail. (And, the math and logic agrees with the
tests. When you resample down, you lose information that you
aren't getting back by resampling up).
Did you see my 2nd test?
Of course, I'll freely acknowledge that the tests have also
demonstrated that, when the images are viewed on the computer
screen, the perceptible loss of information in an actual pixel crop
might be overcome, if at all, by actually reducing the accuracy
of the remaining information displayed on the screen in an effort
to mimic the lost detail and fool the eye.
The whole purpose of the crop and displaying the image on the screen at 100% is so that you can in fact determine the difference in detail, not to reduce the accuracy of information. Cropping it at 100% shows you exactly the detail that you have.
But to me, that is a 'so what.' It is interesting as an exercise,
and kind of fun to know, but as to 'real world' application, so
what. I rarely take pictures with the intent of creating an
'actual pixel' crop to be displayed on a computer. And, if I
wanted a camera that only produced full-sized, un-cropped (or
hardly cropped) pictures that look good on computer screens at
640x480, or 800x600, or even 1024x768, I wouldn't have bought a 5mp
camera.
I'd take a 1024x768 image from any higher resolution camera than one which can only take 1024x768 and I'm not talking about better lenses.
And even with my 5mp camera, if I know that a picture is
only going to be shown on a computer screen, I'll just skip down to
1240x960. Anything beyond that, including resampled 3mp images, is
essentially wasted. (Hmm, maybe I should test this, to see whether
there is any perceptible difference in the quality of an 800x600
image displayed on a computer screen, when it is resampled from
original that is 5mp, or 3mp, or 1mp.)
Which is to say, I bought the 5mp 707 to produce prints that I can
hang on the wall. I like being able to print an 8x10 or 11x14
without resampling.
Even if you don't resample the image, I bet your printer driver is doing some resampling of its own.
Heck, I'll even admit that I like to resample
my 5mp images to produce a 16x20, or 20x30. For obvious reasons,
the tests on this forum haven't shown that the resampled 3mp from
the 707 produces an 8x10 that has equal quality (or an acceptable
loss of quality) when compared to the 8x10 printed from a 5mp image.
I agree you need to "see it to believe it".
But that's just my nickel's worth. Well, maybe it's not worth a
nickel. Actually, probably isn't worth anything. Oh well, I'll
just crawl back into my corner.
Remember that the in-camera reduction has nothing to do with what we are saying here, it was just used as a practical example. If what we are saying is true, you should be able reduce any full resolution original from any classic mosaic CCD camera by 20%, enlarge it again and lose nearly zero detail.

The perfect comparison test will be between an original image from a 3mp traditional CCD camera, like my S70, and a Foveon based 3mp camera. Reduce each image to 1600x1200 and then resize them back to 3mp. If what we are saying is true, you will see more detail lost in the Foveon camera than the S70 because the Foveon camera has more detail in the original.

You know, we could actually do this with my S70 and F707 since I'm also saying that a 3mp image from the 5mp F707 contains more detail than a 3mp image from the 3mp S70. Hmmmmm....
;-)

Howdy.
 
Ok, so where to start? (And I have snipped, hopefully appropriately and fairly.)
Did you see my 2nd test?
Yep, indeed, that is why I said:
Of course, I'll freely acknowledge that the tests have also
demonstrated that, when the images are viewed on the computer
screen, the perceptible loss of information in an actual pixel crop
might be overcome, if at all, by actually reducing the accuracy
of the remaining information displayed on the screen in an effort
to mimic the lost detail and fool the eye.
The whole purpose of the crop and displaying the image on the
screen at 100% is so that you can in fact determine the difference
in detail, not to reduce the accuracy of information. Cropping it
at 100% shows you exactly the detail that you have.
I understood, completely, and I appreciated your effort to present a test in which each crop displays each pixel from the same area of each image (as close as possible), to permit a pixel level comparison. Indeed, it is this very fact from your first test that convinced me that the 3mp image not only has less information, but that loss of information translates into a perceptable loss of detail.
I'd take a 1024x768 image from any higher resolution camera than
one which can only take 1024x768 and I'm not talking about better
lenses.
But, would there be a discernable difference in the image quality of the 1024x768 image? And I ask the question honestly, as I don't know. I would hypothesize (based on your test) that there might be a discernable difference between a 1024x768 image taken by a .8mp camera (1024x768) and one taken by, say, a 1.3mp camera. But beyond that . . .? If I had to venture a guess, I would be surprised if there was a discernable difference in image quality in 1024x768 images resampled down from 1.3mp cameras and 5mp cameras. (As I said before, that would be a test I would like to see!)
Even if you don't resample the image, I bet your printer driver is
doing some resampling of its own.
Who knows what happens to our images between the time we hit print and when we pull that paper from the tray ;-). I expect that the printer drivers for my epson are doing a lot more than merely resampling, in an effort to convert 5mp of RGB pixel information into ???mega-dots of information governing application of six discrete colours.
Remember that the in-camera reduction has nothing to do with what
we are saying here, it was just used as a practical example. If
what we are saying is true, you should be able reduce any full
resolution original from any classic mosaic CCD camera by 20%,
enlarge it again and lose nearly zero detail.
I understand, and I disagree. And I disagree both on a practical level (based on both of your tests and bobbo's), as well as on a theoretical level (the math & logic doesn't work).

First, bobbo published his test to support his conclusion that the 707 can be operated in 3mp mode with no perceptible loss of quality (detail and information) (or, at least, with an acceptable loss of quality) when compared to 5mp mode. Your tests followed up on this proposition.

As such, my interest in these threads was to discover whether there is no perceptable loss of quality between 5mp and 3mp mode (or an acceptable level of loss). So, on a practical level, in-camera reduction does have a lot to do with what you have been saying, particularly because the 707 doesn't perform a 20% resampling reduction. It jumps from 4.9mp mode to 3.1mp mode, which is a near-40% drop. Your first test (and bobbo's) demonstrated that the loss of information resulting from this twice-performed 40% swing caused a perceptable loss of detail. (To date, all respondents have been able to correctly identify which image was 'original' and which was twice re-sampled.)

On the 'theoretical level,' I must begin by saying that I don't foresee any need to perform a post-camera resample down by 20% and back up. As such, I really don't care too much whether such a "20% procedure" would cause a perceptable loss of detail. (It may, or may not.)

However, it will cause an actual loss of information. I really don't feel like running through all of the math, in part because it requires an extended foray into the mathematics and theory underlying the algorithms for BOTH creating RGB pixels from mosaiced ccds and combining pixels down. At its most fundamental level, however, the 20% resampling down can be viewed as nothing more than a lossy compression of the 5mp image (and an inefficient compression at that). The fact that the 707 sensor is 75% efficient doesn't suddenly transform a separately applied lossy, 20% compression scheme into a lossless 20% compression scheme.

I would further suggest that, in the realm of imposing a short-term, 20% compression on an image, there are many methods out there that would cause less loss of information (and thus detail) than 'resampling.' Indeed, I would expect that there are some true lossless algorithms that can compress most 5mp images by 20%.
The perfect comparison test will be between an original image from
a 3mp traditional CCD camera, like my S70, and a Foveon based 3mp
camera. Reduce each image to 1600x1200 and then resize them back
to 3mp. If what we are saying is true, you will see more detail
lost in the Foveon camera than the S70 because the Foveon camera
has more detail in the original.
I don't know if this would be the 'perfect comparison test,' but it sure would be fun. ;-)

Howdy.
 
In my original post were I brought up this subject:
http://www.dpreview.com/forums/read.asp?forum=1009&message=2527304
I explained that the F707 has a resolution efficiency of 75%
(actually 75.5% in DPReview's test). I then realized that
theoretically a 2560x1920 (5MP) image could be reduced to 1933x1450
(2.8MP) and retain all the detail in the original image.
Absent an explanation of your 'theoretical realization,' this seems to be a non-sequitor. I'm not seeing the basis for your conclusion that a 5mp image has only 2.8 mp of detail. Further, I have yet to see any explanation as to how compression by resampling (by definition, a lossy procedure, and ineffecient in terms of compression) will retain only the theoretical "2.8mp of detail" and through-out the 2.2mp lacking detail. Finally, both yours and TurboTed's tests have established a perceptable difference in quality (detail and information) between the 707's 3mp mode and its 5mp mode.
Now don't get upset that your 5MP F707 has the resolution of a 3MP
camera, it doesn't. All digital cameras behave this way (the F707
has the highest resolution efficiency measured). Using the 3MP mode
on the F707 is not the same as taking a picture with a 3MP camera.
The image is taken at 5MP and resampled down to 3MP, but since the
image only has 2.8MP worth of detail nothing may be lost.
Given that I have yet to be convinced that a 5mp image only has 2.8 mp 'worth of detail,' I disagree that nothing is lost, and the tests so far have proved otherwise.

That said, thanks for exploring this issue. While I don't agree with your reasoning or your conclusions, it has been interesting to see the closeness (and at the same time, the distance) in quality between the 707's 3mp and 5mp mode. For now, since printing is my primary goal for most of my photos, and since I haven't yet had to 'manage my memory,' I'll stick to 5mp JPEG fine as my default mode, using other modes as appropriate for specific photos or situations. Of course, I won't be quite so hesitant to use 3mp mode, as you have shown that it can produce a picture with quality approaching that of the 5mp mode, and somewhat better than the image produced by 3mp camera.

Howdy.
 
Did you see my 2nd test?
Yep, indeed, that is why I said:
Of course, I'll freely acknowledge that the tests have also
demonstrated that, when the images are viewed on the computer
screen, the perceptible loss of information in an actual pixel crop
might be overcome, if at all, by actually reducing the accuracy
of the remaining information displayed on the screen in an effort
to mimic the lost detail and fool the eye.
The whole purpose of the crop and displaying the image on the
screen at 100% is so that you can in fact determine the difference
in detail, not to reduce the accuracy of information. Cropping it
at 100% shows you exactly the detail that you have.
I understood, completely, and I appreciated your effort to present
a test in which each crop displays each pixel from the same area of
each image (as close as possible), to permit a pixel level
comparison. Indeed, it is this very fact from your first test that
convinced me that the 3mp image not only has less information, but
that loss of information translates into a perceptable loss of
detail.
I'd take a 1024x768 image from any higher resolution camera than
one which can only take 1024x768 and I'm not talking about better
lenses.
But, would there be a discernable difference in the image quality
of the 1024x768 image?
In my opinion, cameras under 2mp when viewed at 1024x768 have a video camera quality to them. Are you completely satisifed how your 5mp F707 images look zoomed into 100%? It starts having that video look too and the color resolution just isn't there.
And I ask the question honestly, as I don't
know. I would hypothesize (based on your test) that there might be
a discernable difference between a 1024x768 image taken by a .8mp
camera (1024x768) and one taken by, say, a 1.3mp camera. But
beyond that . . .? If I had to venture a guess, I would be
surprised if there was a discernable difference in image quality in
1024x768 images resampled down from 1.3mp cameras and 5mp cameras.
(As I said before, that would be a test I would like to see!)
Even if you don't resample the image, I bet your printer driver is
doing some resampling of its own.
Who knows what happens to our images between the time we hit print
and when we pull that paper from the tray ;-). I expect that the
printer drivers for my epson are doing a lot more than merely
resampling, in an effort to convert 5mp of RGB pixel information
into ???mega-dots of information governing application of six
discrete colours.
Remember that the in-camera reduction has nothing to do with what
we are saying here, it was just used as a practical example. If
what we are saying is true, you should be able reduce any full
resolution original from any classic mosaic CCD camera by 20%,
enlarge it again and lose nearly zero detail.
I understand, and I disagree. And I disagree both on a practical
level (based on both of your tests
I don't recall your guess on my 2nd test, that is assuming they really are different pictures... ;-)
and bobbo's), as well as on a
theoretical level (the math & logic doesn't work).
As my last argument I give a hypothetical example. Imagine taking any image and resize it 200% using no interpolation. Now you have a large image made of 4 pixel squares where each of the 4 pixels in each square are the same color. Assuming this to be an original from our hypothetical camera, what would happen if you resize this image by 50% and enlarge it by 200% again without any interpolation. I believe you'll just end up with the same image of 2x2 pixel squares. I don't know the math either and it goes against common sense, but if you can imagine fractional pixels or the fact that each pixel in our original actually contains some information from adjacent pixels then maybe reducing these images by some nominal amount may not really lose any info.
The perfect comparison test will be between an original image from
a 3mp traditional CCD camera, like my S70, and a Foveon based 3mp
camera. Reduce each image to 1600x1200 and then resize them back
to 3mp. If what we are saying is true, you will see more detail
lost in the Foveon camera than the S70 because the Foveon camera
has more detail in the original.
I don't know if this would be the 'perfect comparison test,' but it
sure would be fun. ;-)
Yeah, it would be loads of fun.
 
As my last argument I give a hypothetical example. Imagine taking
any image and resize it 200% using no interpolation. Now you have
a large image made of 4 pixel squares where each of the 4 pixels in
each square are the same color. Assuming this to be an original
from our hypothetical camera, what would happen if you resize this
image by 50% and enlarge it by 200% again without any
interpolation. I believe you'll just end up with the same image of
2x2 pixel squares.
I like this, because it actually helps. Assume a fairly simple reduction algorithm (in fact, you already have), in which each one pixel is 'surviving' pixel and will be given the average value of itself and its west, southwest, and south neighbor. These three neighbors are then thrown out. Also assume a row of 2x2 squares next to each other, alternating between squares with four pure red pixels, and squares with 4 pure green pixels. If the simple reduction algorithm starts in the northeast corner of each square, your 50% reduction with result in a row alternating between red and green pixels. However, if it starts in the northwest corner (because it doesn't know you have neat 2x2 squares), you're going to end up with a row of 128R 128G 0B pixels. Upsample that row by 200%, and your left with a 2 rows of 128R 128G 0B pixels. And that is a simple reduction algorithm. You get more complex, and you look to more neighbors, and then you look for patterns, etc, etc.

But, I think it would be a great test of, say, photoshop's resampling algorithms. Create some nice grids made up of 2x2 squares in which each pixel has an identical pure color. Then resample down and up, and see what the result is.
I don't know the math either and it goes
against common sense, but if you can imagine fractional pixels or
the fact that each pixel in our original actually contains some
information from adjacent pixels then maybe reducing these images
by some nominal amount may not really lose any info.
You don't have fractional pixels, and when you change a pixels value, it is changed. You might be able to apply some fancy algorithms and do a decent job guessing what info was lost, but its attempting to place lost info. That's why test 1 showed a softer image.

Anyway, got to run, off to go camping with my sons!

Howdy.
 

Keyboard shortcuts

Back
Top