Numerical Computation of Weil-Peterson Geodesics in the Universal Teichmüller Space

SIAM JOURNAL ON IMAGING SCIENCES, pp. 1322-1345, 2017.

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Abstract:

We propose an optimization algorithm for computing geodesics on the universal Teichmuller space T (1) in the Weil-Petersson (WP) metric. Another realization for T (1) is the space of planar shapes, modulo translation and scale, and thus our algorithm addresses a fundamental problem in computer vision: compute the distance between two give...More

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