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» Brain Surface Conformal Parameterization with the Ricci Flow
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ISBI
2007
IEEE
13 years 10 months ago
Brain Surface Conformal Parameterization with the Ricci Flow
In medical imaging, parameterized 3D surface models are of great interest for anatomical modeling and visualization, statistical comparisons of anatomy, and surface-based registra...
Yalin Wang, Xianfeng Gu, Tony F. Chan, Paul M. Tho...
MICCAI
2006
Springer
14 years 5 months ago
Brain Surface Conformal Parameterization with Algebraic Functions
In medical imaging, parameterized 3D surface models are of great interest for anatomical modeling and visualization, statistical comparisons of anatomy, and surface-based registrat...
Yalin Wang, Xianfeng Gu, Tony F. Chan, Paul M. Tho...
IMAMS
2007
245views Mathematics» more  IMAMS 2007»
13 years 5 months ago
Discrete Surface Ricci Flow: Theory and Applications
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...
Miao Jin, Junho Kim, Xianfeng David Gu
CVPR
2009
IEEE
14 years 11 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...
ICCV
2007
IEEE
14 years 6 months ago
Ricci Flow for 3D Shape Analysis
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...