Title
An Inexact Matching Approach For The Comparison Of Plane Curves With General Elastic Metrics
Abstract
This paper introduces a new mathematical formulation and numerical approach for the computation of distances and geodesics between immersed planar curves. Our approach combines the general simplifying transform for first-order elastic metrics that was recently introduced by Kurtek and Needham, together with a relaxation of the matching constraint using parametrization-invariant fidelity metrics. The main advantages of this formulation are that it leads to a simple optimization problem for discretized curves, and that it provides a flexible approach to deal with noisy, inconsistent or corrupted data. These benefits are illustrated via a few preliminary numerical results.
Year
DOI
Venue
2019
10.1109/IEEECONF44664.2019.9049031
CONFERENCE RECORD OF THE 2019 FIFTY-THIRD ASILOMAR CONFERENCE ON SIGNALS, SYSTEMS & COMPUTERS
Keywords
DocType
ISSN
elastic shape analysis, F-a,F-b transform, inexact matching, varifold metrics
Conference
1058-6393
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Sukurdeep Yashil100.34
Martin Bauer25210.45
Nicolas Charon3689.78