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math.NA2022
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…
math.NA2022★ 1 cited
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…
math.NA2022★ 2 cited
Theoretical Foundation of the Stretch Energy Minimization for Area-Preserving Mappings
Mei-Heng Yueh
The stretch energy is a fully nonlinear energy functional that has been applied to the numerical computation of area-preserving mappings. However, this approach lacks theoretical s…