Chebyshev Nets from Commuting PolyVector Fields

Andrew O. Sageman‐Furnas

doi:10.1145/3355089.3356564

2019-11-08

Andrew O. Sageman‐Furnas *

Albert Chern

Mirela Ben‐Chen

Amir Vaxman

DOI：10.1145/3355089.3356564

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摘要

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.

Keyword:

Chebyshev nets

Directional fields

PolyVector fields

Ginzburg-Landau

Lie brackets

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ACM Transactions on Graphics

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9.5

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4.8K

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3.6W

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Utrecht University

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Technical University of Berlin

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1.3W

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被引数: 18

Technion Israel Institute of Technology

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