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Thanks Dan. Looking at your sample, I do see somewhat less pixel-level noise in the 16MP bicubic sample than in the 36MP sample. This is consistent with what I saw running the test. If I take the test further and keep reducing, this is what I get:wombat779 wrote:
Hey wombat, sorry I didn't got back to that thread I guess.
Here is what I saw:
Ok I see where you're coming from and you're totally right, reducing the image, reduces the visible noise, I'll give you that. But you had to reduce it to an unusable size to make it work to your point. The problem with that is just like I said, if you reduce your dinner to just one slice of steak and tell your stomach that you're reducing the meal for diet purposes, your stomach will punch you in the face (no seriously it will!To my eye, at each reduction the pixel level noise becomes less apparent, and by the lowest reduction, it is almost clean. Of course, at that level the image itself is quite small, but I think demonstrates that simple downsampling without other noise reduction acts to reduce apparent pixel-level noise.
I'm putting your references first as this topic comes up here so often. I think crames' post linked above is very good, as usual.Horshack wrote:
'* References:
http://forums.dpreview.com/forums/read.asp?forum=1018&message=39856801
True. (with the usual understood conditions.)Theorem #1 - The 36MP sensor will have higher per-pixel noise than the 12MP sensor
No, not necessarily. See, in digital we don't have areas, as in analog photography. We just have numbers. If we want to go from 36 million numbers to 12 million numbers, then some methods will yield poorer results, some the same, and others better. They will have equal amounts of noise if you downsample by binning. But, hardly anybody downsamples by binning in reality.but both will have the equal amounts of noise on a per-area basis.
Firstly, for small downsampling ratios the SNR will increase for natural images. Secondly, the way I see it, this notion of "all spatial frequencies" is for pure academic purposes only. Come to think of it. In your 16 MP pixel images, do you want to compare 16 million noise figures for each spatial frequency in the image! No body does that. As an example, when we say that read noise is say 2 e-, that means an avarage figure over all pixels in an image. Similarly, it is just bogus to have a list of millions of numbers in the frequency domain. We want just a few numbers, the less better, even in frequency domain to describe the overall noise content.Theorem #2 - Downsampling does not increase the SNR of the image, at least across all spatial frequencies within the image.
Yes, together with the usual rule for the aggregation of variances (variance of the sum is the sum of the variances).I'm not ee either (mathematics graduate). Can't this phenomenon be simply thought of a simple application of the central limit theorem?
Yes indeed. A common method of NR uses the 'wavelet decomposition', roughly a decomposition of the image into detail subbands of various scales (Nyquist to half Nyquist, half to one quarter Nyquist, etc). One reduces the magnitude of the wavelet coefficients that are smaller than some threshold under the theory that large coefficients represent true microcontrast while small ones are predominantly noise. Thus one retains more detail than would be obtained by downsampling, which would be equivalent to setting all the high frequency subband coefficients to zero (for a downsample by a factor two).So your answer could explain why I get very good results if I use NR at full res ?
The NR also kills the high frequency noise but still leaves plenty of hi frequency detail in the picture, and more detail actually in the full res picture than in the one after resampling. In other words, could we say that high freq NR may be 'more efficient' at higher MP's?
sorry, i think i goofed and made it 12mpix downsized. at least i didn't have to make it 2mpix......one at 36mpix one at 16mpix - cropped to same size
Reading the responses on this thread and then re-reading your link above finally drove the point home for me. If I had gone directly to your noise tutorial at http://theory.uchicago.edu/...ejm/pix/20d/tests/noise/noise-p3.html#pixelsize it would have clicked a lot faster; you explain the concept there in so many different and compelling ways it becomes almost impossible not to comprehend. Your help and contribution are greatly appreciated.Some relevant experiments:
Noise spectrum before/after downsampling:
http://forums.dpreview.com/forums/read.asp?forum=1000&message=30169513
Note in the power spectra, 256 on the horizontal axis is always Nyquist, so doesn't mean the same thing for the full size and reduced images -- the top half the power spectrum of the original is chopped away under downsampling and is simply absent in the downsampled image, because Nyquist is half in terms of lines per picture height.
Thanks for running this experiment. I agree about the color blotchiness. It's something I've observed in the D800 samples I've applied NR/downsampling to. It almost approaches mottling at times. Do you think this is primarily a function of the demosaicing algorithm and if so, can it be addressed without too many side effects? Are there any post-demosaic strategies to address it?My estimate is that the situation will be a lot worse for the "high resolution" model at higher ISOs, because the RN is a much larger part of the image noise power here. You need VERY low RN figures to compete with at least reasonably sized pixels at very high ISOs. For the foreseeable future, images from lower MP cameras will be more "manageable" in post at the highest ISOs. With smart NR, the high-MP-cameras can match them on almost equal basis, but that includes a lot more processing power, or enough MP to be able to do real hardware binning.
Personally if I have heavy colour noise I apply surface blur in PS to the A and B channels in LABThanks for running this experiment. I agree about the color blotchiness. It's something I've observed in the D800 samples I've applied NR/downsampling to. It almost approaches mottling at times. Do you think this is primarily a function of the demosaicing algorithm and if so, can it be addressed without too many side effects? Are there any post-demosaic strategies to address it?My estimate is that the situation will be a lot worse for the "high resolution" model at higher ISOs, because the RN is a much larger part of the image noise power here. You need VERY low RN figures to compete with at least reasonably sized pixels at very high ISOs. For the foreseeable future, images from lower MP cameras will be more "manageable" in post at the highest ISOs. With smart NR, the high-MP-cameras can match them on almost equal basis, but that includes a lot more processing power, or enough MP to be able to do real hardware binning.
BUT, but but but, you cheated! You turned on moire reduction and used a picture control. The principal here was to see if just downsizing the photo would help reduce it's noise levels.let me try, same image, but opened the NEF in capture NX 2, turned noise reduction off, turned moire reduction on - neutral picture control
one at 36mpix one at 16mpix - cropped to same size
I don't think anyone has claimed that downsampling a particularly GOOD method of noise reduction, just that it is one method. The only useful purpose I can see of downsampling without other noise reduction is to facilitate comparisons to other lower resolution cameras at the pixel level (e.g. to compare a D800 image to a D700 or a D4 image), as downsampling will roughly simulate the impact on noise from the larger pixel size of the lower resolution cameras.Ok I see where you're coming from and you're totally right, reducing the image, reduces the visible noise, I'll give you that. But you had to reduce it to an unusable size to make it work to your point.
The ONLY difference between the two images is the sizeBUT, but but but, you cheated! You turned on moire reduction and used a picture control.let me try, same image, but opened the NEF in capture NX 2, turned noise reduction off, turned moire reduction on - neutral picture control
one at 36mpix one at 16mpix - cropped to same size
We all know that software can drastically help improve noise reduction.
But the...actually...I'm done here. This is a great discussion but it just doesn't matter to me anymore. Whatever method you use to make your photos look the best they can should be up to you. I'm getting the D4 in the next couple of days and I'm just gonna take some pics and enjoy. And then the next week, I'll get the D800 and do the same.
The cure for the DPR blues is:
-Take photo
-Repeat.
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Not much. But those were the parameters of the discussion.If with high MP's the hi freq noise is best handled with good NR software (it works even after upsamlpling according to Dominique),
and downsampling does nothing to mid and low frequency noise,
than what's the gain in downsampling other than getting a smaller file size ?