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...
This paper formalizes a novel, intrinsic geometric scale space (IGSS) of 3D surface shapes. The intrinsic geometry of a surface is diffused by means of the Ricci flow for the gener...
Many medical imaging applications require the computation of dense correspondence vector fields that match one surface with another. To avoid the need for a large set of manually-d...
Geometric flows are ubiquitous in mesh processing. Curve and surface evolutions based on functional minimization have been used in the context of surface diffusion, denoising, sha...
PDE surfaces, whose behavior is governed by Partial Differential Equations (PDEs), have demonstrated many modeling advantages in surface blending, free-form surface modeling, and ...