Image comparison and scaling via nonlinear elasticity

This work addresses image comparison for computer vision or medical imaging, but appears incremental as it builds on existing elasticity models without clear practical application.

The authors tackled the problem of comparing images by formulating a nonlinear elasticity model to find optimal transformations as minimizers of an integral functional, establishing existence of minimizers in a class of homeomorphisms and investigating if linear transformations are uniquely recovered for linearly related images.