Creating synthetic images with controlled properties?

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Hi everyone, Im trying to find out if there is a clever way to mathematically generate a set of different images with some key statistical properties fixed. For example: create a set of b&w images with same average spatial frequency content, same average luminance, but different structure.....
any ideas? any cool references about this? thanks!
Mario

Accepted Answer

Image Analyst
Image Analyst on 5 Dec 2013
Well here's one demo where I do something like that to generate clouds. Attached below in blue.
But your question is very vague. What is average spatial frequency exactly? A given spatial frequency pattern is the fft and inversing that will give you an image. If you change the fft you get a different image. So what does average mean in that case?
I've seen methods where people lay down random dots and then do morphological operations on them to get different worm-like looking images, but I don't know where any source code for that is. So it really depends on what you want to achieve. What do you want your images to look like?
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Walter Roberson
Walter Roberson on 5 Dec 2013
Some of those are trivial.
For example for the average luminance one, decide what average luminance you would like to use. Then generate random images. For each image, brighten (or darken) the image until the resulting average luminance matches the desired value. This is a completely linear transformation (unless you end up saturating a pixel): if pixel #1 needs to be multiplied by 1.6429 to be bright enough, then pixel 2 would be multiplied by exactly the same thing. Constant ultiplication factor: target_luminance / actual_average_luminance

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