Conformal Wasserstein Distance: II. Computational Aspects and Extensions

Details Conformal Wasserstein Distance: II. Computational Aspects and Extensions Conformal Wasserstein Distance: II. Computational Aspects and Extensions

2011-03-24

arxiv.org/abs/1103.4681v2

Mathematics

Numerical Analysis

Scientific paper

This paper is a companion paper to [Lipman and Daubechies 2011]. We provide numerical procedures and algorithms for computing the alignment of and distance between two disk type surfaces. We provide a convergence analysis of the discrete approximation to the arising mass-transportation problems. We furthermore generalize the framework to support sphere-type surfaces, and prove a result connecting this distance to local geodesic distortion. Lastly, we provide numerical experiments on several surfaces' datasets and compare to state of the art method.

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