Convergent Conformal Energy Minimization for the Computation of Disk Parameterizations

DOI10.1137/21M1415443zbMath1482.65029MaRDI QIDQ5024386

Yueh-Cheng Kuo, Wen-Wei Lin, Mei-Heng Yueh, Shing Tung Yau

Publication date: 31 January 2022

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

zbMATH Keywords

disk conformal parameterizationconformal energy minimizationsimply connected open surface

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Circle packings and discrete conformal geometry (52C26)

Related Items (3)

A constructive algorithm for disk conformal parameterizations ⋮ A novel explicit design method for complex thin-walled structures based on embedded solid moving morphable components ⋮ Theoretical Foundation of the Stretch Energy Minimization for Area-Preserving Simplicial Mappings

Uses Software

• PLCP
• SQPlab
• Stanford 3D Scanning Repository
• ABF++

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A novel symmetric skew-Hamiltonian isotropic Lanczos algorithm for spectral conformal parameterizations
• Fundamentals of computational conformal geometry
• Numerical computation of surface conformal mappings
• Fast disk conformal parameterization of simply-connected open surfaces
• An efficient energy minimization for conformal parameterizations
• A linear formulation for disk conformal parameterization of simply-connected open surfaces
• High performance computing for spherical conformal and Riemann mappings
• Computing conformal structures of surfaces
• Teichmuller Mapping (T-Map) and Its Applications to Landmark Matching Registration
• Computing Discrete Minimal Surfaces and Their Conjugates
• One-to-one piecewise linear mappings over triangulations
• Parallelizable Global Conformal Parameterization of Simply-Connected Surfaces via Partial Welding
• FLASH: Fast Landmark Aligned Spherical Harmonic Parameterization for Genus-0 Closed Brain Surfaces
• Numerical optimization. Theoretical and practical aspects. Transl. from the French
• Mesh Parameterization Methods and Their Applications
• Parameterization of faceted surfaces for meshing using angle-based flattening

This page was built for publication: Convergent Conformal Energy Minimization for the Computation of Disk Parameterizations