Varifold-based matching of curves via Sobolev-type Riemannian metrics

2017/06/06 by Martins Bauer, Martins Bruveris, Bauer, Martins +5
Computer Science · Engineering · Mathematics · #3D Shape Modeling and Analysis #58B20 (Primary) #62H25 #62H30 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics #Image Processing and 3D Reconstruction #Morphological variations and asymmetry #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1706.01821

openalex publication_date 2017/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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