most citedConvergence Analysis of Dirichlet Energy Minimization for Spherical Conformal Parameterizations

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

math.NA2024

Isovolumetric Energy Minimization for Ball-Shaped Volume-Preserving Parameterizations of 3-Manifolds

Shu-Yung Liu, Tsung-Ming Huang, Wen-Wei Lin +1

A volume-preserving parameterization is a bijective mapping that maps a 3-manifold onto a specified canonical domain that preserves the local volume. This paper formulates the comp…

math.NA2024

-Dimensional Volumetric Stretch Energy Minimization for Volume-/Mass-Preserving Parameterizations

Zhong-Heng Tan, Tiexiang Li, Wen-Wei Lin +1

In this paper, we develop an dimensional volumetric stretch energy (-VSE) functional for the volume-/mass-preserving parameterization of the -manifolds topologically equi…

math.OC2024

Numerical Solutions for Stochastic Continuous-time Algebraic Riccati Equations

Tsung-Ming Huang, Yueh-Cheng Kuo, Ren-Cang Li +1

We are concerned with efficient numerical methods for stochastic continuous-time algebraic Riccati equations (SCARE). Such equations frequently arise from the state-dependent Ricca…

math.NA2022

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…

math.NA2022

A new modified Newton iteration for computing nonnegative Z-eigenpairs of nonnegative tensors

Chun-Hua Guo, Wen-Wei Lin, Ching-Sung Liu

We propose a new modification of Newton iteration for finding some nonnegative Z-eigenpairs of a nonnegative tensor. The method has local quadratic convergence to a nonnegative eig…

math.NA20221 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…