130 citations · 247 across the 19 of their papers we have counts for
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A discrete uniformization theorem for polyhedral surfaces
Xianfeng Gu, Feng Luo, Jian Sun +1
A discrete conformality for polyhedral metrics on surfaces is introduced in this paper which generalizes earlier work on the subject. It is shown that each polyhedral metric on a s…
A Variational Principle for Improving 2D Triangle Meshes based on Hyperbolic Volume
Jian Sun, Wei Chen, Junhui Deng +3
In this paper, we consider the problem of improving 2D triangle meshes tessellating planar regions. We propose a new variational principle for improving 2D triangle meshes where th…
A Novel Skew-Hamiltonian Isotropic Lanczos Algorithm for Spectral Conformal Parameterizations
Wei-Qiang Huang, Xianfeng David Gu, Wen-Wei Lin +1
Numerous methods for computing conformal mesh paramterizations has been developed due to the vast applications in the field of geometry processing. Spectral conformal parameterizat…
Convergence of an iterative algorithm for Teichmüller maps via generalized harmonic maps
Lui Lok Ming, Gu Xianfeng, Yau Shing-Tung
Finding surface mappings with least distortion arises from many applications in various fields. Extremal Teichmüller maps are surface mappings with least conformality distortion.…
Rigidity of Infinite Hexagonal Triangulation of the Plane
Tianqi Wu, Xianfeng Gu, Jian Sun
In the paper, we consider the rigidity problem of the infinite hexagonal triangulation of the plane under the piecewise linear conformal changes introduced by Luo in [5]. Our resul…