5 papers
Optimization of Constrained Quasiconformal Mapping for Origami Design
Ka Ho Lai, Hei Tung Tsang, Gary P. T. Choi +1
Origami structures, particularly Miura-ori patterns, offer unique capabilities for surface approximation and deployable designs. In this study, a constrained mapping optimization a…
Volumetric Parameterization for 3-Dimensional Simply-Connected Manifolds
Zhiyuan Lyu, Qiguang Chen, Gary P. T. Choi +1
With advances in technology, there has been growing interest in developing effective mapping methods for 3-dimensional objects in recent years. Volumetric parameterization for 3D s…
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…
Toroidal density-equalizing map for genus-one surfaces
Shunyu Yao, Gary P. T. Choi
Density-equalizing map is a shape deformation technique originally developed for cartogram creation and sociological data visualization on planar geographical maps. In recent years…
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…