3 citations · 5 across the 3 of their papers we have counts for
4 papers
Hexagonal Geometric Triangulations
Xiaoping Zhu
It is well-known that the Euclidean plane has a standard 6-regular geodesic triangulation , and the unit sphere has a 5-regular geodesic triangulation, which is induced from the re…
The Convergence of Discrete Uniformizations for Genus Zero Surfaces
Yanwen Luo, Tianqi Wu, Xiaoping Zhu
The notion of discrete conformality proposed by Luo and Bobenko-Pinkall-Springborn on triangle meshes has rich mathematical theories and wide applications. Gu et al. proved that th…
The Deformation Spaces of Geodesic Triangulations of Flat Tori
Yanwen Luo, Tianqi Wu, Xiaoping Zhu
We prove that the deformation space of geodesic triangulations of a flat torus is homotopy equivalent to a torus. This solves an open problem proposed by Connelly et al. in 1983, i…
The Convergence of Discrete Uniformizations for Closed Surfaces
Tianqi Wu, Xiaoping Zhu
The notions of discrete conformality on triangle meshes have rich mathematical theories and wide applications. The related notions of discrete uniformizations on triangle meshes, s…