Conformal geometry is in the core of pure mathematics. Conformal structure is more flexible than Riemaniann metric but more rigid than topology. Conformal geometric methods have p...
Intrinsic curvature flows can be used to design Riemannian metrics by prescribed curvatures. This chapter presents three discrete curvature flow methods that are recently introduce...
Xiaotian Yin, Miao Jin, Feng Luo 0002, Xianfeng Da...
Systematically generalizing planar geometric algorithms to manifold domains is of fundamental importance in computer aided design field. This paper proposes a novel theoretic fra...
Ricci flow is a powerful curvature flow method in geometric analysis. This work is the first application of surface Ricci flow in computer vision. We show that previous methods ba...
Xianfeng Gu, Sen Wang, Junho Kim, Yun Zeng, Yang W...
All surfaces can be classified by the conformal equivalence
relation. Conformal invariants, which are shape indices
that can be defined intrinsically on a surface, may
be used t...
Paul M. Thompson, Tony F. Chan, Xianfeng Gu, Yalin...