Conformal Wasserstein Distance: II. Computational Aspects and Extensions

Y Lipman, Jesys Puente, Ingrid Daubechies

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)331-381
JournalMathematics of Computation
Publication statusPublished - 2013


  • Numerical Analysis


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