Journal
ACM TRANSACTIONS ON GRAPHICS
Volume 38, Issue 6, Pages -Publisher
ASSOC COMPUTING MACHINERY
DOI: 10.1145/3355089.3356564
Keywords
Chebyshev nets; Directional fields; PolyVector fields; Ginzburg-Landau; Lie brackets
Categories
Funding
- DFG Collaborative Research Center Discretization in Geometry and Dynamics [TRR 109]
- European Research Council (ERC) [714776 OPREP]
- SideFX software
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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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