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FSTTCS
2004
Springer
14 years 2 months ago
Approximate Range Searching Using Binary Space Partitions
We show how any BSP tree TP for the endpoints of a set of n disjoint segments in the plane can be used to obtain a BSP tree of size O(n · depth(TP )) for the segments themselves, ...
Mark de Berg, Micha Streppel
SODA
2010
ACM
176views Algorithms» more  SODA 2010»
14 years 6 months ago
Self-improving Algorithms for Convex Hulls
We describe an algorithm for computing planar convex hulls in the self-improving model: given a sequence I1, I2, . . . of planar n-point sets, the upper convex hull conv(I) of eac...
Kenneth L. Clarkson, Wolfgang Mulzer, C. Seshadhri
CAGD
2007
86views more  CAGD 2007»
13 years 8 months ago
A general geometric construction of coordinates in a convex simplicial polytope
Barycentric coordinates are a fundamental concept in computer graphics and geometric modeling. We extend the geometric construction of Floater’s mean value coordinates [8,11] to...
Tao Ju, Peter Liepa, Joe D. Warren
COMPGEOM
2004
ACM
14 years 2 months ago
The number of lines tangent to arbitrary convex polyhedra in 3D
We prove that the lines tangent to four possibly intersecting convex polyhedra in   3 with n edges in total form Θ(n2 ) connected components in the worst case. In the generic ca...
Hervé Brönnimann, Olivier Devillers, V...
VLSM
2005
Springer
14 years 2 months ago
A Study of Non-smooth Convex Flow Decomposition
We present a mathematical and computational feasibility study of the variational convex decomposition of 2D vector fields into coherent structures and additively superposed flow ...
Jing Yuan, Christoph Schnörr, Gabriele Steidl...