We know that the magnitude of the Fourier transform (resp. Mellin transform) of a shifted (resp. scaled) function is identical to the magnitude of the original function. I wonder if there is a transform that has some properties being invariant under rotation. Thanks.
2026-03-27 00:00:07.1774569607
transform that is invariant under rotation
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The Log-polar transformation converts rotations and dilations into translations, which are invariant under Fourier tranforms.