Subdivision connectivity remeshing via Teichmüller extremal map

DOI10.3934/ipi.2017039zbMath1368.94008OpenAlexW2740795187MaRDI QIDQ2013862

Chi Po Choi, Xianfeng Gu, Lok Ming Lui

Publication date: 9 August 2017

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/ipi.2017039

zbMATH Keywords

Teichmüller mapquasi-conformalsurface remeshingBeltrami coefficientBeltrami's equation

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Optimization of shapes other than minimal surfaces (49Q10) Graphical methods in numerical analysis (65S05)

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Cites Work

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• Optimization of surface registrations using Beltrami holomorphic flow
• Centroidal Voronoi tessellation in universal covering space of manifold surfaces
• Computing quasiconformal maps using an auxiliary metric and discrete curvature flow
• Folding-free global conformal mapping for genus-0 surfaces by harmonic energy minimization
• Computing extremal Teichmüller map of multiply-connected domains via Beltrami holomorphic flow
• Remeshing triangulated surfaces with optimal parameterizations
• Geometric surface mesh optimization
• Progressive transmission of subdivision surfaces
• Computing conformal structures of surfaces
• Texture Map and Video Compression Using Beltrami Representation
• Teichmuller Mapping (T-Map) and Its Applications to Landmark Matching Registration
• Asymptotically optimal block quantization
• Analysis of triangle quality measures
• Surface remeshing by local hermite diffuse interpolation
• COMBINATORIAL YAMABE FLOW ON SURFACES
• Centroidal Voronoi Tessellations: Applications and Algorithms
• A stability criterion to the moment theorem
• Centroidal Voronoi diagrams for isotropic surface remeshing
• Convergence of an iterative algorithm for Teichmüller maps via harmonic energy optimization