Numerical Computation of Weil-Peterson Geodesics in the Universal Teichm\"uller Space

2013.

Cited by: 6|Views10

Abstract:

We propose an optimization algorithm for computing geodesics on the universal Teichm\"uller space T(1) in the Weil-Petersson ($W P$) 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...More

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