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Image comparison and scaling via nonlinear elasticity (2303.10103v2)
Published 17 Mar 2023 in math.AP and cs.CV
Abstract: A nonlinear elasticity model for comparing images is formulated and analyzed, in which optimal transformations between images are sought as minimizers of an integral functional. The existence of minimizers in a suitable class of homeomorphisms between image domains is established under natural hypotheses. We investigate whether for linearly related images the minimization algorithm delivers the linear transformation as the unique minimizer.