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The best way to apply custom transform to a bufferedImage

Pippet mamy
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I have an application that transforms circular part of an image to a triangle. It works, the computation is fine, but the process is slow because the source to image conversion reads every pixel with in a circle one by one from the source image and maps it to result. I would like to know if we can do something like openCV's remap which computes the transform once and can be used for other images of the same kind.

It is sorta covered in the JavaRanch Style Guide.
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