# The matching problem between functional shapes via a BV penalty term: a Gamma-convergence result

arXiv: https://arxiv.org/abs/1503.07685 · HTML: https://mlsanity.com/paper/1503.07685/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 26 Mar 2015.

## Built on by (most cited first, 1 of 1)

- [Learned Finite Element-based Regularization of the Inverse Problem in Electrocardiographic Imaging](https://mlsanity.com/paper/2602.07466/) (2026)

## Abstract (arXiv)

This paper proves a Gamma-convergence result for the discrete energy (to the continuous one) of the matching problem for signals defined on surfaces. In particular, we highlight some geometric properties that must be guaranteed in the discretization process to ensure the convergence of minimizers. The proof is given in the framework of functional shapes introduced in citeABN. In particular, we consider a varifold-type attachment term, and a BV penalty term is used instead of the original L2 norm.