2 papers
math.NA2025
Surface parameterization via optimization of relative entropy and quasiconformality
Zhipeng Zhu, Lok Ming Lui
We propose a novel method for parameterizations of triangle meshes by finding an optimal quasiconformal map that minimizes an energy consisting of a relative entropy term and a qua…
math.NA2025
A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces
Zhipeng Zhu, Wai Yeung Lam, Lok Ming Lui
Motivated by geometry processing for surfaces with non-trivial topology, we study discrete harmonic maps between closed surfaces of genus at least two. Harmonic maps provide a natu…