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» Graph based topological analysis of tessellated surfaces
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UAI
1996
13 years 9 months ago
A Graph-Theoretic Analysis of Information Value
We derive qualitative relationships about the informationalrelevance of variables in graphical decision models based on a consideration of the topology of the models. Speci cally,...
Kim-Leng Poh, Eric Horvitz
SMI
2007
IEEE
208views Image Analysis» more  SMI 2007»
14 years 2 months ago
A Partition-of-Unity Based Algorithm for Implicit Surface Reconstruction Using Belief Propagation
In this paper, we propose a new algorithm for the fundamental problem of reconstructing surfaces from a large set of unorganized 3D data points. The local shapes of the surface ar...
Yi-Ling Chen, Shang-Hong Lai
ICCV
2007
IEEE
14 years 9 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...
JMIV
1998
130views more  JMIV 1998»
13 years 7 months ago
Topological Numbers and Singularities in Scalar Images: Scale-Space Evolution Properties
Singular points of scalar images in any dimensions are classified by a topological number. This number takes integer values and can efficiently be computed as a surface integral ...
Stiliyan Kalitzin, Bart M. ter Haar Romeny, Alfons...
COMPGEOM
2005
ACM
13 years 9 months ago
Dynamic maintenance of molecular surfaces under conformational changes
We present an efficient algorithm for maintaining the boundary and surface area of protein molecules as they undergo conformational changes. We also describe a robust implementati...
Eran Eyal, Dan Halperin