Density-Equalizing Maps for Simply Connected Open Surfaces

DOI10.1137/17M1124796zbMath1401.68347arXiv1704.02525OpenAlexW3103235928WikidataQ126200042 ScholiaQ126200042MaRDI QIDQ4689756

Gary Pui-Tung Choi, Chris H. Rycroft

Publication date: 17 October 2018

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

Full work available at URL: https://arxiv.org/abs/1704.02525

zbMATH Keywords

cartogramdiffusiondata visualizationsurface remeshingdensity-equalizing maparea-preserving parameterization

Mathematics Subject Classification ID

Diffusion (76R50) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (max. 100)

Parallelizable Global Quasi-Conformal Parameterization of Multiply Connected Surfaces via Partial Welding ⋮ A constructive algorithm for disk conformal parameterizations ⋮ A Splitting Scheme for Flip-Free Distortion Energies ⋮ A Unifying Framework for $n$-Dimensional Quasi-Conformal Mappings ⋮ Theoretical Foundation of the Stretch Energy Minimization for Area-Preserving Simplicial Mappings ⋮ A Novel Algorithm for Volume-Preserving Parameterizations of 3-Manifolds ⋮ Optimized surface parameterizations with applications to Chinese virtual broadcasting ⋮ Parallelizable Global Conformal Parameterization of Simply-Connected Surfaces via Partial Welding ⋮ A New Efficient Algorithm for Volume-Preserving Parameterizations of Genus-One 3-Manifolds ⋮ Shape analysis via inconsistent surface registration ⋮ Volumetric density-equalizing reference map with applications ⋮ Efficient conformal parameterization of multiply-connected surfaces using quasi-conformal theory ⋮ On inversion-free mapping and distortion minimization ⋮ Free-boundary conformal parameterization of point clouds

Uses Software

• ABF++
• CartoDraw

Cites Work

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