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The Associated Discrete Laplacian in and Mean Curvature with Higher order Approximations
Wei-Hung Liao
In , the primal and dual constructions yield completely different discrete Laplacians for tetrahedral meshes.In this article, we prove that the discrete Laplacian sat…
Convergence Analysis of Volumetric Stretch Energy Minimization and its Associated Optimal Mass Transport
Tsung-Ming Huang, Wei-Hung Liao, Wen-Wei Lin +2
The volumetric stretch energy has been widely applied to the computation of volume-/mass-preserving parameterizations of simply connected tetrahedral mesh models. However, this app…
Fundamental Theory and R-linear Convergence of Stretch Energy Minimization for Equiareal parameterizations
Tsung-Ming Huang, Wei-Hung Liao, Wen-Wei Lin
In this paper, we first extend the finite distortion problem from the bounded domains in to the closed genus-zero surfaces in by the stereographic pro…
Convergence Analysis of Dirichlet Energy Minimization for Spherical Conformal Parameterizations
Wei-Hung Liao, Tsung-Ming Huang, Wen-Wei Lin +1
In this paper, we first derive a theoretical basis for spherical conformal parameterizations between a simply connected closed surface and a unit sphere $\mathbb{S}^2…