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» Analysis of blood vessel topology by cubical homology
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ICIP
2002
IEEE
14 years 6 months ago
Analysis of blood vessel topology by cubical homology
In this note, we segment and topologically classify brain vessel data obtained from magnetic resonance angiography (MRA). The segmentation is done adaptively and the classificatio...
Konstantin Mischaikow, Pawel Pilarczyk, William D....
CCA
2009
Springer
13 years 11 months ago
Computability of Homology for Compact Absolute Neighbourhood Retracts
In this note we discuss the information needed to compute the homology groups of a topological space. We argue that the natural class of spaces to consider are the compact absolut...
Pieter Collins
ICPR
2008
IEEE
13 years 11 months ago
Retinal vessel tree segmentation using a deformable contour model
This paper presents an improved version of our specific methodology to detect the vessel tree in retinal angiographies. The automatic analysis of retinal vessel tree facilitates ...
Lucia Espona, María J. Carreira, Manuel Fra...
FOCS
2007
IEEE
13 years 8 months ago
Inferring Local Homology from Sampled Stratified Spaces
We study the reconstruction of a stratified space from a possibly noisy point sample. Specifically, we use the vineyard of the distance function restricted to a 1-parameter family...
Paul Bendich, David Cohen-Steiner, Herbert Edelsbr...
ICPR
2008
IEEE
13 years 11 months ago
Linear time recognition algorithms for topological invariants in 3D
In this paper, we design linear time algorithms to recognize and determine topological invariants such as genus and homology groups in 3D. These invariants can be used to identify...
Li Chen, Yongwu Rong