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How to design a 2D filter of size 512*512 and a 1D filter of size 1*512 with hyperbola properties?

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Hi, I want to design a 2D filter of size 512*512 and a 1D filter of size 1*512 with following equation:
(y*y)/512-(x*x)/512=1
This is similar to a hyperbola.I want to convolve my image with these filters.Please help. Regards Richa

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