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» Brain Surface Conformal Parameterization with the Ricci Flow
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CAD
2007
Springer
13 years 4 months ago
Computing general geometric structures on surfaces using Ricci flow
Systematically generalizing planar geometric algorithms to manifold domains is of fundamental importance in computer aided design field. This paper proposes a novel theoretic fra...
Miao Jin, Feng Luo 0002, Xianfeng David Gu
ISBI
2008
IEEE
14 years 5 months ago
Brain surface conformal parameterization with the slit mapping
Brain surface conformal mapping has been studied intensively. In this paper, we propose a method that computes a conformal mapping from a multiply connected mesh to the so-called ...
Yalin Wang, Xianfeng Gu, Tony F. Chan, Paul M. Tho...
MICCAI
2008
Springer
14 years 6 months ago
Conformal Slit Mapping and Its Applications to Brain Surface Parameterization
We propose a method that computes a conformal mapping from a multiply connected mesh to the so-called slit domain, which consists of a canonical rectangle or disk in which 3D curve...
Yalin Wang, Xianfeng Gu, Tony F. Chan, Paul M. ...
GMP
2008
IEEE
161views Solid Modeling» more  GMP 2008»
13 years 11 months ago
Slit Map: Conformal Parameterization for Multiply Connected Surfaces
Surface parameterization is a fundamental tool in geometric modeling and processing. Most existing methods deal with simply connected disks. This work introduces a novel method to ...
Xiaotian Yin, Junfei Dai, Shing-Tung Yau, Xianfeng...
MICCAI
2005
Springer
14 years 5 months ago
Brain Surface Parameterization Using Riemann Surface Structure
Abstract. We develop a general approach that uses holomorphic 1forms to parameterize anatomical surfaces with complex (possibly branching) topology. Rather than evolve the surface ...
Yalin Wang, Xianfeng Gu, Kiralee M. Hayashi, Tony ...