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arXiv · 2303.10103

Image comparison and scaling via nonlinear elasticity

John M. Ball·Christopher L. Horner
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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.

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John M. Ball, Christopher L. Horner. 2023-03-17. Image comparison and scaling via nonlinear elasticity. https://arxiv.org/abs/2303.10103

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