Published November 1, 2019 | Version v1
Journal article Open

Chebyshev nets from commuting PolyVector fields

  • 1. Technical University of Berlin
  • 2. Technion - Israel Institute of Technology
  • 3. Utrecht University

Description

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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Funding

European Commission
OPREP - Operator Based Representations for Geometry Processing 714776