mlsanityData to 14 Oct 2026

Image comparison and scaling via nonlinear elasticity

arXiv 2303.10103 ↗First posted 17 Mar 2023math.AP cs.CVcited by 1

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Abstract (arXiv)

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.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 3 of its 30 references that are in the map. First posted on arXiv 17 Mar 2023.

Builds on

3 of 30 references.

References · 3

  1. 2015Shape Aware Matching of Implicit Surfaces based on Thin Shell Energiescited by 4
  2. 2015A Hyperelastic Two-Scale Optimization Model for Shape Matchingcited by 2
  3. 2020Symmetry and scaling limits for matching of implicit surfaces based on thin shell energiescited by 2

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Citing papers per year: 2024: 1.

1 paper.

  1. 2024A nonlinear elasticity model in computer visioncited by 0