Title | ||
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An Inexact Matching Approach For The Comparison Of Plane Curves With General Elastic Metrics |
Abstract | ||
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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 |
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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 Yashil | 1 | 0 | 0.34 |
Martin Bauer | 2 | 52 | 10.45 |
Nicolas Charon | 3 | 68 | 9.78 |