Paper ID: 2303.10103

Image comparison and scaling via nonlinear elasticity

John M. Ball, Christopher L. Horner

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.

Submitted: Mar 17, 2023