Varifold-based matching of curves via Sobolev-type Riemannian metrics
Differential Geometry
2017-06-07 v1 Numerical Analysis
Abstract
Second order Sobolev metrics are a useful tool in the shape analysis of curves. In this paper we combine these metrics with varifold-based inexact matching to explore a new strategy of computing geodesics between unparametrized curves. We describe the numerical method used for solving the inexact matching problem, apply it to study the shape of mosquito wings and compare our method to curve matching in the LDDMM framework.
Cite
@article{arxiv.1706.01821,
title = {Varifold-based matching of curves via Sobolev-type Riemannian metrics},
author = {Martins Bauer and Martins Bruveris and Nicolas Charon and Jakob Møller-Andersen},
journal= {arXiv preprint arXiv:1706.01821},
year = {2017}
}
Comments
12 pages