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IJCNN
2007
IEEE
15 years 4 months ago
Branching Principal Components: Elastic Graphs, Topological Grammars and Metro Maps
— To approximate complex data, we propose new type of low-dimensional “principal object”: principal cubic complex. This complex is a generalization of linear and nonlinear pr...
Alexander N. Gorban, Neil R. Sumner, Andrei Yu. Zi...
QOSIP
2005
Springer
15 years 3 months ago
Topological Design of Survivable IP Networks Using Metaheuristic Approaches
Abstract. The topological design of distributed packet switched networks consists of finding a topology that minimizes the communication costs by taking into account a certain num...
Emílio C. G. Wille, Marco Mellia, Emilio Le...
3DIM
2003
IEEE
15 years 3 months ago
Deformable Model with Adaptive Mesh and Automated Topology Changes
Due to their general and robust formulation deformable models offer a very appealing approach to 3D image segmentation. However there is a trade-off between model genericity, mode...
Jacques-Olivier Lachaud, Benjamin Taton
COMGEO
2008
ACM
14 years 10 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...
JLP
2010
110views more  JLP 2010»
14 years 8 months ago
Similarity, topology, and uniformity
We generalize various notions of generalized metrics even further to one general concept comprising them all. For convenience, we turn around the ordering in the target domain of ...
Reinhold Heckmann