ERROR From STD 'standard deviation'

2013 7 10
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Hello every one; is anyone knows how can I extract the error between two images from their variance? knowing that I have the STD which equals = SQRT(Variance)
Thanks ;

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Image Analyst
Image Analyst 2013-7-10

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If you define error as the standard deviation of the absolute value of the difference between the image intensities, then you can do
differenceImage = abs(double(image1) - double(image2));
theErros = std(differenceImage(:));
You might also look at other definitions, like MSE ( http://en.wikipedia.org/wiki/Mean_squared_error), PSNR ( http://en.wikipedia.org/wiki/PSNR), and SSIM ( http://en.wikipedia.org/wiki/SSIM).

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Soum
Soum 2013-7-10
Thank you :)
No,I ask how can I get The Error from the standard deviation i have already the value of the std but what i want is the Error anyway my Question like that: the error in function of the std
ERROR=F(STD) ????
Hope You can answer me
Shashank Prasanna
Shashank Prasanna 2013-7-10
Error is a concept. All these are just proxies or a way to quantify error.
Soum
Soum 2013-7-10
In my case the ERROR=(Noisy Image-De-noised Image), but I know the SDT and I wanna get the ERROR ok??
Image Analyst
Image Analyst 2013-7-11
编辑：Image Analyst 2013-7-11
You cannot get a difference image, (Noisy Image-De-noised Image), from a single number, like 6.54868543 for example. I hope you understand why. It seems so basic that I shouldn't even have to explain why. What if I told you the mean of an image? Could you tell me what the original image looked like? No, of course not, because there are an infinite number of images that could have that mean. Well it's the same with the standard deviation - there's just not enough information to recover the original image(s).
Soum
Soum 2013-7-11
mmm ok Thanks

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