87 citations · 437 across the 38 of their papers we have counts for
6 papers · 1 filter
Adaptive Volumetric Parameterization of Simply Connected 3-Manifolds with Applications
Zhiyuan Lyu, Qiguang Chen, Lok Ming Lui +1
Volumetric parameterization, the process of mapping a 3-manifold onto a simplified volumetric domain, is important for many tasks in computer graphics and imaging science. However,…
Two-chart Beltrami Optimization for Distortion-Controlled Spherical Bijection with Application to Brain Surface Registration
Zhehao Xu, Lok Ming Lui
Many genus-0 surface mapping tasks such as landmark alignment, feature matching, and image-driven registration, can be reduced (via an initial spherical conformal map) to optimizin…
Learning-based density-equalizing map
Yanwen Huang, Lok Ming Lui, Gary P. T. Choi
Density-equalizing map (DEM) serves as a powerful technique for creating shape deformations with the area changes reflecting an underlying density function. In recent decades, DEM…
Ellipsoidal Density-Equalizing Map for Genus-0 Closed Surfaces
Zhiyuan Lyu, Lok Ming Lui, Gary P. T. Choi
Surface parameterization is a fundamental task in geometry processing and plays an important role in many science and engineering applications. In recent years, the density-equaliz…
Spherical Density-Equalizing Map for Genus-0 Closed Surfaces
Zhiyuan Lyu, Lok Ming Lui, Gary P. T. Choi
Density-equalizing maps are a class of mapping methods in which the shape deformation is driven by prescribed density information. In recent years, they have been widely used for d…
A New Geometric Representation for 3D Bijective Mappings and Applications
Qiguang Chen, Lok Ming Lui
Three-dimensional (3D) mappings are fundamental in various scientific and engineering applications, including computer-aided engineering (CAE), computer graphics, and medical imagi…