TEMPO: Feature-Endowed Teichmüller Extremal Mappings of Point Clouds

DOI10.1137/15M1049117zbMath1369.30046arXiv1511.06624MaRDI QIDQ5266395

Tingwei Meng, Gary Pui-Tung Choi, Lok Ming Lui

Publication date: 2 June 2017

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

Full work available at URL: https://arxiv.org/abs/1511.06624

zbMATH Keywords

Teichmüller metricpoint cloudsdiscrete analog of Teichmüller extremal mappings

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60) Discrete analytic functions (30G25)

Related Items (16)

Parallelizable Global Quasi-Conformal Parameterization of Multiply Connected Surfaces via Partial Welding ⋮ Quasiconformal model with CNN features for large deformation image registration ⋮ A Unifying Framework for $n$-Dimensional Quasi-Conformal Mappings ⋮ Computing Harmonic Maps and Conformal Maps on Point Clouds ⋮ Explicit layout optimization of complex rib-reinforced thin-walled structures via computational conformal mapping (CCM) ⋮ A second-order nonlocal approximation for Poisson model with Dirichlet boundary ⋮ Topology optimization design of graded infills for 3D curved volume by a conformal sweeping method ⋮ A novel explicit design method for complex thin-walled structures based on embedded solid moving morphable components ⋮ Planar morphometrics using Teichmüller maps ⋮ Parallelizable Global Conformal Parameterization of Simply-Connected Surfaces via Partial Welding ⋮ Shape analysis via inconsistent surface registration ⋮ Point Integral Method for Elliptic Equations with Variable Coefficients on Point Cloud ⋮ Convergence of the point integral method for Laplace-Beltrami equation on point cloud ⋮ Efficient conformal parameterization of multiply-connected surfaces using quasi-conformal theory ⋮ Density-Equalizing Maps for Simply Connected Open Surfaces ⋮ Free-boundary conformal parameterization of point clouds

Uses Software

• ABF++

Cites Work

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