3 citations · 8 across the 13 of their papers we have counts for
4 papers · 2 filters
Energy-Based Distortion-Balancing Parameterization for Open Surfaces
Shu-Yung Liu, Mei-Heng Yueh
Surface parameterization is a fundamental concept in fields such as differential geometry and computer graphics. It involves mapping a surface in three-dimensional space onto a two…
Spherical Area-Preserving Parameterization via Energy Minimization
Shu-Yung Liu, Mei-Heng Yueh
We propose a novel method, called spherical authalic energy minimization (SAEM), for computing spherical area-preserving parameterizations of genus-zero closed surfaces, with stron…
Volume-Preserving Parameterizations via Preconditioned Nonlinear Conjugate Gradient Method
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 canonical domain while preserving local volume. We formulate this problem as an unconstrai…
Riemannian gradient descent for spherical area-preserving mappings
Marco Sutti, Mei-Heng Yueh
We propose a new Riemannian gradient descent method for computing spherical area-preserving mappings of topological spheres using a Riemannian retraction-based framework with theor…