Conformal Wasserstein Distance: II. Computational Aspects and Extensions
Numerical Analysis
2014-02-18 v2
Abstract
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.
Cite
@article{arxiv.1103.4681,
title = {Conformal Wasserstein Distance: II. Computational Aspects and Extensions},
author = {Yaron Lipman and Jesus Puente and Ingrid Daubechies},
journal= {arXiv preprint arXiv:1103.4681},
year = {2014}
}