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» Computing the betti numbers of arrangements
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ISVD
2010
IEEE
13 years 4 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...
DCG
2008
69views more  DCG 2008»
13 years 6 months ago
On Projections of Semi-Algebraic Sets Defined by Few Quadratic Inequalities
Let S Rk+m be a compact semi-algebraic set defined by P1 0, . . . , P 0, where Pi R[X1, . . . , Xk, Y1, . . . , Ym], and deg(Pi) 2, 1 i . Let denote the standard projection f...
Saugata Basu, Thierry Zell
FOCS
1999
IEEE
13 years 10 months ago
Taking a Walk in a Planar Arrangement
We present a randomized algorithm for computing portions of an arrangement of n arcs in the plane, each pair of which intersect in at most t points. We use this algorithm to perfo...
Sariel Har-Peled
WG
1998
Springer
13 years 10 months ago
Triangles in Euclidean Arrangements
The number of triangles in arrangements of lines and pseudolines has been object of some research. Most results, however, concern arrangements in the projective plane. In this arti...
Stefan Felsner, Klaus Kriegel
CVPR
2011
IEEE
12 years 10 months ago
Multiscale Geometric and Spectral Analysis of Plane Arrangements
Modeling data by multiple low-dimensional planes is an important problem in many applications such as computer vision and pattern recognition. In the most general setting where on...
Guangliang Chen, Mauro Maggioni