A conformal approach for surface inpainting

DOI10.3934/IPI.2013.7.863zbMath1276.65014arXiv1212.0981OpenAlexW2127698408MaRDI QIDQ371091

Chengfeng Wen, Xianfeng Gu, Lok Ming Lui

Publication date: 27 September 2013

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

Full work available at URL: https://arxiv.org/abs/1212.0981

zbMATH Keywords

algorithmfinite difference methodnumerical examplesmean curvatureRiemann surfaceleast squares methodconformal factorgraphical examplesconformal parameterizationGauss-Codazzi equationsurface inpainting

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Nonlinear parabolic equations (35K55) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Optimization of shapes other than minimal surfaces (49Q10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Curvature Regularized Surface Reconstruction from Point Clouds ⋮ A comparison of hole-filling methods in 3D ⋮ Conformal-based surface morphing and multi-scale representation

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