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IMAMS
2007
245views Mathematics» more  IMAMS 2007»
13 years 9 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
FGR
2004
IEEE
238views Biometrics» more  FGR 2004»
13 years 11 months ago
Nearest Manifold Approach for Face Recognition
Faces under varying illumination, pose and non-rigid deformation are empirically thought of as a highly nonlinear manifold in the observation space. How to discover intrinsic low-...
Junping Zhang, Stan Z. Li, Jue Wang
MICCAI
2009
Springer
14 years 8 months ago
A Riemannian Framework for Orientation Distribution Function Computing
Compared with Diffusion Tensor Imaging (DTI), High Angular Resolution Imaging (HARDI) can better explore the complex microstructure of white matter. Orientation Distribution Functi...
Jian Cheng, Aurobrata Ghosh, Tianzi Jiang, Rachid ...
IJCV
2006
165views more  IJCV 2006»
13 years 7 months ago
A Riemannian Framework for Tensor Computing
Tensors are nowadays a common source of geometric information. In this paper, we propose to endow the tensor space with an affine-invariant Riemannian metric. We demonstrate that ...
Xavier Pennec, Pierre Fillard, Nicholas Ayache
SIGIR
2005
ACM
14 years 1 months ago
Text classification with kernels on the multinomial manifold
Support Vector Machines (SVMs) have been very successful in text classification. However, the intrinsic geometric structure of text data has been ignored by standard kernels commo...
Dell Zhang, Xi Chen, Wee Sun Lee