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Circular neighborhood for ImageApply
Usual disclaimer: I'm a casual home user of Mathematica, so please forgive what might seem like silly questions. I'm using ImageFilter like this: ImageFilter[1.0*Count[Flatten[#], 0.]/Length[Flatten[#]] &, ColorConvert[binaryImage, "Grayscale"], r] I.e. I'm trying to replace each pixel with the ratio of 0 pixels and 1 pixels in its square neighborhood. I'm doing this because I'm trying to find the center of disks (of an expected radius) in a scanned image, and this works reasonably well. But, since I'm actually looking for disks I think it would be better to find the ratio in the pixel's _disk_ (not square) neighborhood. It seems like there ought to be a simple way to work DiskMatrix into my expression, and extra processing time isn't an issue. Any ideas? Is there some operator I can apply to # and DiskMatrix which would mask out the neighborhood values outside the disk? I think ImageMultiply ought to work like an ImageAnd if all my pixel values are 0 or 1, but I haven't had any luck with it. On a tangent, I have another filter that ought to be looking for the ratio in a ring neighborhood between r1 and r2. Maybe the answer to my first question will also tell me how to combine DiskMatrix[r1] and DiskMatrix[r2] to get RingMatrix[r1,r2]. Any help will be greatly appreciated. Thanks, Adrian P.S. I'm considering the upgrade to Mathematica 8. Since I have a CUDA-compatible graphics card, is it safe to assume that version 8 will _automatically_ utilize it when executing these sorts of operations? Or would I need to code differently to take advantage of it?