Fundamental theory and R-linear convergence of stretch energy minimization for spherical equiareal parameterization

DOI10.1515/jnma-2022-0072arXiv2207.13943MaRDI QIDQ6196083

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Publication date: 14 March 2024

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.13943

zbMATH Keywords

R-linear convergencespherical equiareal parameterizationstretch energy minimization

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Numerical methods in conformal mappings (65E10)

Cites Work

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• Quasiconformal mappings and spaces of functions with generalized first derivatives
• Area-preserving mesh parameterization for poly-annulus surfaces based on optimal mass transportation
• A novel stretch energy minimization algorithm for equiareal parameterizations
• Local Invertibility of Sobolev Functions
• FLASH: Fast Landmark Aligned Spherical Harmonic Parameterization for Genus-0 Closed Brain Surfaces
• Convergence of an iterative algorithm for Teichmüller maps via harmonic energy optimization
• Extremal mappings of finite distortion
• A Novel Algorithm for Volume-Preserving Parameterizations of 3-Manifolds

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