Convergence of Dirichlet energy minimization for spherical conformal parameterizations

DOI10.1007/s10915-023-02424-xzbMath1530.53074arXiv2206.15167MaRDI QIDQ6178638

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Publication date: 16 January 2024

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.15167

zbMATH Keywords

nonequivalence deflationDirichlet energy minimizationasymptotically linear convergencespherical conformal parametrization

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Differential geometric aspects of harmonic maps (53C43) Computer-aided design (modeling of curves and surfaces) (65D17) Applications of differential geometry to data and computer science (53Z50)

Cites Work

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• An efficient energy minimization for conformal parameterizations
• High performance computing for spherical conformal and Riemann mappings
• Parallelizable Global Conformal Parameterization of Simply-Connected Surfaces via Partial Welding
• FLASH: Fast Landmark Aligned Spherical Harmonic Parameterization for Genus-0 Closed Brain Surfaces
• Riemannian geometry and geometric analysis
• A Novel Algorithm for Volume-Preserving Parameterizations of 3-Manifolds

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