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» Discrete Vector Fields and Fundamental Algebraic Topology
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ICCV
2003
IEEE
16 years 1 months ago
Surface Classification Using Conformal Structures
3D surface classification is a fundamental problem in computer vision and computational geometry. Surfaces can be classified by different transformation groups. Traditional classi...
Xianfeng Gu, Shing-Tung Yau
SODA
2010
ACM
164views Algorithms» more  SODA 2010»
14 years 10 months ago
Hardness Results for Homology Localization
: © Hardness Results for Homology Localization Chao Chen, Daniel Freedman HP Laboratories HPL-2009-374 algebraic topology, homology, localization We address the problem of localiz...
Chao Chen, Daniel Freedman
JMLR
2010
119views more  JMLR 2010»
14 years 6 months ago
The Coding Divergence for Measuring the Complexity of Separating Two Sets
In this paper we integrate two essential processes, discretization of continuous data and learning of a model that explains them, towards fully computational machine learning from...
Mahito Sugiyama, Akihiro Yamamoto
CVPR
2007
IEEE
16 years 1 months ago
An MRF and Gaussian Curvature Based Shape Representation for Shape Matching
Matching and registration of shapes is a key issue in Computer Vision, Pattern Recognition, and Medical Image Analysis. This paper presents a shape representation framework based ...
Pengdong Xiao, Nick Barnes, Tibério S. Caet...
TPHOL
2005
IEEE
15 years 5 months ago
A HOL Theory of Euclidean Space
We describe a formalization of the elementary algebra, topology and analysis of finite-dimensional Euclidean space in the HOL Light theorem prover. (Euclidean space is RN with the...
John Harrison