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

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

Abstract / Description of output

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
Number of pages	16
Journal	ACM Transactions on Graphics
Volume	38
Issue number	6
DOIs	https://doi.org/10.1145/3355089.3356564
Publication status	Published - 1 Nov 2019

Keywords / Materials (for Non-textual outputs)

Ginzburg-Landau
directional fields
Chebyshev nets
PolyVector fields
lie brackets

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10.1145/3355089.3356564Licence: All Rights Reserved

https://dl.acm.org/doi/abs/10.1145/3355089.3356564Licence: All Rights Reserved

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.",

keywords = "Ginzburg-Landau, directional fields, Chebyshev nets, PolyVector fields, lie brackets",

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

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AU - Sageman-Furnas, Andrew O.

AU - Chern, Albert

AU - Ben-Chen, Mirela

AU - Vaxman, Amir

PY - 2019/11/1

Y1 - 2019/11/1

N2 - 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.

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 - Ginzburg-Landau

KW - directional fields

KW - Chebyshev nets

KW - PolyVector fields

KW - lie brackets

U2 - 10.1145/3355089.3356564

DO - 10.1145/3355089.3356564

M3 - Article

SN - 0730-0301

VL - 38

JO - ACM Transactions on Graphics

JF - ACM Transactions on Graphics

IS - 6

M1 - 172

ER -

Chebyshev Nets from Commuting PolyVector Fields

Abstract / Description of output

Keywords / Materials (for Non-textual outputs)

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