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Chebyshev Nets from Commuting PolyVector Fields

delete2019-11-08
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OA
AI
A
Andrew O. Sageman‐Furnas *
A
Albert Chern
M
Mirela Ben‐Chen
A
Amir Vaxman
DOI:10.1145/3355089.3356564delete
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Abstract

Abstract

En 中文
We propose a method for computing global Chebyshev nets on triangular meshes. We formulate the corresponding global parameterization problem in terms of commuting PolyVector fields, and design an efficient optimization method to solve it. We compute, for the first time, Chebyshev nets with automatically-placed singularities, and demonstrate the realizability of our approach using real material.
Keywords:
Chebyshev nets
Directional fields
PolyVector fields
Ginzburg-Landau
Lie brackets
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Journal

ACM Transactions on Graphics cover
ACM Transactions on Graphics
IF:
9.5
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4.7K
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U
Utrecht University
Scholars:
5.9W
Papers: 5.1W
Citations: 5.8W
T
Technical University of Berlin
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Papers: 1.1W
Citations: 18
T
Technion Israel Institute of Technology
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Papers: 1.5W
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