Zobrazeno 1 - 10
of 133
pro vyhledávání: '"Luo, Yanwen"'
Bowers and Stephenson introduced the notion of inversive distance circle packings as a natural generalization of Thurston's circle packings. They conjectured that discrete conformal maps induced by inversive distance circle packings converge to the R
Externí odkaz:
http://arxiv.org/abs/2211.07464
Autor:
Luo, Yanwen
We show that a small and regular triangulation of the hyperbolic plane is rigid under the discrete conformal change, extending previous rigidity results on the Euclidean plane. Our result is a discrete analogue of the conformal rigidity of the hyperb
Externí odkaz:
http://arxiv.org/abs/2208.04502
Autor:
Luo, Yanwen, Zhu, Xiaoping
It has been shown that spaces of geodesic triangulations of surfaces with negative curvature are contractible. Here we propose an approach aiming to prove that the spaces of geodesic triangulations of a surface with negative curvature are homeomorphi
Externí odkaz:
http://arxiv.org/abs/2204.10833
Autor:
Luo, Yanwen
In this note, we propose a straightforward method to produce an straight-line embedding of a planar graph where one face of a graph is fixed in the plane as a star-shaped polygon. It is based on minimizing discrete Dirichlet energies, following the i
Externí odkaz:
http://arxiv.org/abs/2204.10831
Autor:
Luo, Yanwen, Xu, Xu
The notion of circle packings has been explored intensively since Thurston proposed it as an approximation to conformal maps. One of the fundamental questions about circle packings is whether it converges to the Riemann mapping if the radius of the c
Externí odkaz:
http://arxiv.org/abs/2204.08145
Publikováno v:
Pacific J. Math. 323 (2023) 115-127
In this paper, we determine the topology of the spaces of convex polyhedra inscribed in the unit $2$-sphere and the spaces of strictly Delaunay geodesic triangulations of the unit $2$-sphere. These spaces can be regarded as discretized groups of diff
Externí odkaz:
http://arxiv.org/abs/2202.06402
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 the discrete uniformizations approximate the continuous uniformization f
Externí odkaz:
http://arxiv.org/abs/2110.08208
Autor:
Luo, Yanwen, Xu, Xu
Publikováno v:
Calc. Var. Partial Differential Equations 61 (2022), no. 3, Paper No. 81
Motivated by Luo's combinatorial Yamabe flow on closed surfaces \cite{L1} and Guo's combinatorial Yamabe flow on surfaces with boundary \cite{Guo}, we introduce combinatorial Calabi flow on ideally triangulated surfaces with boundary, aiming at findi
Externí odkaz:
http://arxiv.org/abs/2110.01142
Publikováno v:
In Journal of Building Engineering 15 September 2024 93
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, in the case of flat tori. A key tool of the proof is a generalization o
Externí odkaz:
http://arxiv.org/abs/2107.05159