6 citations · 12 across the 6 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.GT2021
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…
math.GT2021★ 2 cited
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…
math.GT2021★ 6 cited
The Deformation Space of Geodesic Triangulations and Generalized Tutte's Embedding Theorem
Yanwen Luo, Tianqi Wu, Xiaoping Zhu
We proved the contractibility of the deformation space of the geodesic triangulations on a closed surface of negative curvature. This solves an open problem proposed by Connelly et…