Mixture of Kernels and Iterated Semi-Direct Product of Diffeomorphism Groups

Mathematics – Numerical Analysis

Scientific paper

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Scientific paper

We develop a multi-scale theory for group of diffeomorphisms based on previous works. The purpose of the paper is (1) to prove in details a variational approach for multiscale on diffeomorphisms, (2) to generalize to several scales the semidirect product of group representation and (3) to illustrate the resulting diffeomorphic decomposition on synthetic and real images.

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