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» Fibrations of Simplicial Sets
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ISVD
2010
IEEE
13 years 3 months ago
Alpha Shape Topology of the Cosmic Web
—We study the topology of the Megaparsec Cosmic Web on the basis of the Alpha Shapes of the galaxy distribution. The simplicial complexes of the alpha shapes are used to determin...
Rien van de Weygaert, Erwin Platen, Gert Vegter, B...
COMPGEOM
2011
ACM
12 years 8 months ago
Reeb graphs: approximation and persistence
Given a continuous function f : X → IR on a topological space X, its level set f−1 (a) changes continuously as the real value a changes. Consequently, the connected components...
Tamal K. Dey, Yusu Wang
GIS
2005
ACM
14 years 6 months ago
Use of rational numbers in the design of robust geometric primitives for three-dimensional spatial database systems
A necessary step in the implementation of three-dimensional spatial data types for spatial database systems and GIS is the development of robust geometric primitives. The authors ...
Brian E. Weinrich, Markus Schneider
ICCAD
1993
IEEE
101views Hardware» more  ICCAD 1993»
13 years 9 months ago
Convexity-based algorithms for design centering
A new technique for design centering, and for polytope approximation of the feasible region for a design are presented. In the rst phase, the feasible region is approximated by a ...
Sachin S. Sapatnekar, Pravin M. Vaidya, Steve M. K...