Math @ Duke

Publications [#287208] of Ingrid Daubechies
Papers Published
 Lipman, Y; Daubechies, I, Conformal Wasserstein distances: Comparing surfaces in polynomial time,
Advances in Mathematics, vol. 227 no. 3
(2011),
pp. 10471077, ISSN 00018708 [arXiv:1103.4408v1 [math.DG]], [doi]
(last updated on 2017/12/11)
Abstract: We present a constructive approach to surface comparison realizable by a polynomialtime algorithm. We determine the "similarity" of two given surfaces by solving a masstransportation problem between their conformal densities. This mass transportation problem differs from the standard case in that we require the solution to be invariant under global Möbius transformations. We present in detail the case where the surfaces to compare are disklike; we also sketch how the approach can be generalized to other types of surfaces. © 2011 Elsevier Inc.


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