3 papers
math.AP2024
A nonlinear elasticity model in computer vision
John M. Ball, Christopher L. Horner
The purpose of this paper is to analyze a nonlinear elasticity model introduced by the authors for comparing two images, regarded as bounded open subsets of together with as…
math.AP2023
Extension of convex functions from a hyperplane to a half-space
John M. Ball, Christopher L. Horner
It is shown that a possibly infinite-valued proper lower semicontinuous convex function on has an extension to a convex function on the half-space ${\mathbb R}^n\ti…
math.AP2023
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. Th…