Classification of distorted images by summation kernels
Victor A. Segalescu, Joseph Segman, Yehoshua Y. Josh Zeevi · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1992
For planar deformation generated by commutative Lie transform groups, there exist integration kernels such that the associated integral transforms are invariant under the deformation, in a similar sense to the action of the Fourier transform on shifted functions. In many applications it is useful to have similar invariant summation kernels for some specific representation coefficients. We derive such summation kernels from the existing integration kernels.