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» Estimation of Topological Dimension
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APPML
2007
92views more  APPML 2007»
13 years 8 months ago
Topological grammars for data approximation
A method of topological grammars is proposed for multidimensional data approximation. For data with complex topology we define a principal cubic complex of low dimension and give...
Alexander N. Gorban, Neil R. Sumner, Andrei Yu. Zi...
JMIV
2010
91views more  JMIV 2010»
13 years 7 months ago
Topological Properties of Thinning in 2-D Pseudomanifolds
Preserving topological properties of objects during thinning procedures is an important issue in the field of image analysis. In the case of 2-D digital images (i.e. images defi...
Nicolas Passat, Michel Couprie, Loïc Mazo, Gi...
COMGEO
2008
ACM
13 years 8 months ago
Recursive geometry of the flow complex and topology of the flow complex filtration
The flow complex is a geometric structure, similar to the Delaunay tessellation, to organize a set of (weighted) points in Rk. Flow shapes are topological spaces corresponding to ...
Kevin Buchin, Tamal K. Dey, Joachim Giesen, Matthi...
JMIV
2006
78views more  JMIV 2006»
13 years 8 months ago
Axiomatic Digital Topology
The paper presents a new set of axioms of digital topology, which are easily understandable for application developers. They define a class of locally finite (LF) topological space...
Vladimir Kovalevsky
ICPP
1998
IEEE
14 years 23 days ago
The Postal Network: A Versatile Interconnection Topology
The postal network is an interconnection network that possesses many desirable properties which are important in network design and applications. It includes hypercubes and Fibona...
Jie Wu, Yuanyuan Yang