How to define Pixel Density of a sampled binary image

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hi, this may be a very simple matter, but i have conflict with that. I have split a particular binary image(28 x 28) into (4 x 4) samples. Now i want to calculate the pixel densities of each sample(i use those density values as features in a OCR application). As i know density defines the number of pixels in a particular area, like 7 pixels per square inch. Is that the same in here? all of my samples have 4 pixels. Is there are relationship between Moment->m00 and pixel density ? can someone explain this ? plz help

Posted 2-Jun-13 10:23am

David Jhones

Updated 2-Jun-13 22:46pm

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nv3 · Accepted Answer · 2013-06-02T23:57:00

I would say that all of your samples have 4 x 4 = 16 pixels. If the original image is a binary image, the density of that sample is simply the number of 1 pixels in that 4 by 4 square. Or you might want to divide that number by 16 to normalize the result to the interval [0,1].

The moment M00 of an image is by definition the sum of the gray values of its pixels. For each 4 by 4 square the number of pixels is hence equal to M00 of that part of your image.

Hope that helps.