Math @ Duke

Publications [#303542] of Ingrid Daubechies
Papers Published
 Lipman, Y; Puente, J; Daubechies, I, Conformal Wasserstein distance: II. Computational aspects and extensions,
Mathematics of Computation, vol. 82 no. 281
(January, 2013),
pp. 331381, American Mathematical Society (AMS) [arXiv:1103.4681v2 [math.NA]], [1103.4681v2], [doi]
(last updated on 2019/08/24)
Abstract: This paper is a companion paper to [Yaron Lipman and Ingrid Daubechies, Conformal Wasserstein distances: Comparing surfaces in polynomial time, Adv. in Math. (ELS), 227 (2011), no. 3, 10471077, (2011)]. We provide numerical procedures and algorithms for computing the alignment of and distance between two disktype surfaces. We provide a convergence analysis of the discrete approximation to the arising masstransportation problems. We furthermore generalize the framework to support spheretype surfaces, and prove a result connecting this distance to local geodesic distortion. Finally, we perform numerical experiments on several surface datasets and compare them to stateoftheart methods. © 2012 American Mathematical Society.


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