How to apply moment preserving to grayscale document image

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goldensona 2012-11-12

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Hi how to apply moment preserving to grayscale document image to obtain gray values. how to proceed i need a example code.

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Image Analyst 2012-12-31

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It is not clear. Please explain it to someone else and have them write it down and paste their explanation back here. Otherwise all I can say is try this:

outputImage = inputImage;

Everything from the input image will be preserved, including ALL moments.

goldensona 2013-1-2

编辑：goldensona 2013-1-2

I want to Convert of Input image to Binary form - By Apply moment-preserving threshold (W. H. Tsai, “Moment-Preserving Thresholding:) to input image to obtain two representative gray values g1 and g2, i have to compute threshold value from it , T = (g1 + g2)/2; using the threshold i need to convert it into binary.

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Image Analyst 2013-1-2

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https://ww2.mathworks.cn/matlabcentral/answers/53475-how-to-apply-moment-preserving-to-grayscale-document-image#answer_69948

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Ah, finally now we're getting somewhere. Moment preserving THRESHOLDING. That thresholding word is important. You really didn't explain the algorithm though. So I have no idea what g1 and g2 are, given some arbitrary gray scale image. And the FAQ applies here.

But let's assume you have them and you calculated a threshold value of T according to your formula. Then you could binarize (threshold) the image into two levels (foreground and background) simply by doing this:

binaryImage = grayImage < T; % Or you can use <=, >, or >= if you want.

This will not preserve ALL moments, but may preserve one or a few of the moments if T was chosen appropriately.