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ISAAC
2007
Springer
80views Algorithms» more  ISAAC 2007»
14 years 1 months ago
Geometric Streaming Algorithms with a Sorting Primitive
We solve several fundamental geometric problems under a new streaming model recently proposed by Ruhl et al. [2, 12]. In this model, in one pass the input stream can be scanned to ...
Eric Y. Chen
CCCG
1996
13 years 9 months ago
Generalizing Halfspaces
Restricted-orientation convexity is the study of geometric objects whose intersection with lines from some fixed set is empty or connected. We have studied the properties of restri...
Eugene Fink, Derick Wood
ICCV
2005
IEEE
14 years 9 months ago
Globally Optimal Estimates for Geometric Reconstruction Problems
We introduce a framework for computing statistically optimal estimates of geometric reconstruction problems. While traditional algorithms often suffer from either local minima or ...
Fredrik Kahl, Didier Henrion
FOCS
2006
IEEE
14 years 1 months ago
On a Geometric Generalization of the Upper Bound Theorem
We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...
Uli Wagner
COMPGEOM
2009
ACM
14 years 2 months ago
Computing hereditary convex structures
Color red and blue the n vertices of a convex polytope P in R3 . Can we compute the convex hull of each color class in o(n log n)? What if we have χ > 2 colors? What if the co...
Bernard Chazelle, Wolfgang Mulzer