Chebyshev nets from commuting PolyVector fields

Andrew O. Sageman-Furnas; Albert Chern; Mirela Ben-Chen; Amir Vaxman

doi:10.1145/3355089.3356564

Chebyshev nets from commuting PolyVector fields

Andrew O. Sageman-Furnas, Albert Chern, Mirela Ben-Chen, Amir Vaxman

Computer Science

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	172
Journal	ACM Transactions on Graphics
Volume	38
Issue number	6
DOIs	https://doi.org/10.1145/3355089.3356564
State	Published - Nov 2019

Keywords

Chebyshev nets
Directional fields
Ginzburg-Landau
Lie brackets
PolyVector fields

All Science Journal Classification (ASJC) codes

Computer Graphics and Computer-Aided Design

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10.1145/3355089.3356564

Cite this

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title = "Chebyshev nets from commuting PolyVector fields",

abstract = "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.",

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author = "Sageman-Furnas, {Andrew O.} and Albert Chern and Mirela Ben-Chen and Amir Vaxman",

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AU - Chern, Albert

AU - Ben-Chen, Mirela

AU - Vaxman, Amir

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AB - 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.

KW - Chebyshev nets

KW - Directional fields

KW - Ginzburg-Landau

KW - Lie brackets

KW - PolyVector fields

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DO - 10.1145/3355089.3356564

M3 - مقالة

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VL - 38

JO - ACM Transactions on Graphics

JF - ACM Transactions on Graphics

IS - 6

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ER -

Chebyshev nets from commuting PolyVector fields

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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