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» Computing general geometric structures on surfaces using Ric...
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CVPR
2009
IEEE
15 years 2 months ago
Shape Analysis with Conformal Invariants for Multiply Connected Domains and its Application to Analyzing Brain Morphology
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...
VIS
2009
IEEE
215views Visualization» more  VIS 2009»
14 years 8 months ago
Intrinsic Geometric Scale Space by Shape Diffusion
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...
Guangyu Zou, Jing Hua, Zhaoqiang Lai, Xianfeng ...
MICCAI
2005
Springer
14 years 8 months ago
Automated Surface Matching Using Mutual Information Applied to Riemann Surface Structures
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...
Yalin Wang, Ming-Chang Chiang, Paul M. Thompson
SGP
2007
13 years 10 months ago
Generalized surface flows for mesh processing
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...
Ilya Eckstein, Jean-Philippe Pons, Yiying Tong, C....
PG
2000
IEEE
13 years 12 months ago
Dynamic PDE Surfaces with Flexible and General Geometric Constraints
PDE surfaces, whose behavior is governed by Partial Differential Equations (PDEs), have demonstrated many modeling advantages in surface blending, free-form surface modeling, and ...
Haixia Du, Hong Qin