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STOC
2003
ACM
153views Algorithms» more  STOC 2003»
14 years 5 months ago
Sublinear geometric algorithms
We initiate an investigation of sublinear algorithms for geometric problems in two and three dimensions. We give optimal algorithms for intersection detection of convex polygons a...
Bernard Chazelle, Ding Liu, Avner Magen
CRV
2008
IEEE
120views Robotics» more  CRV 2008»
13 years 11 months ago
Ray-based Color Image Segmentation
We propose a ray-based segmentation method for color images. A segment is represented by a centroid and evenlydistributed rays shooting out from it. First, a bottom-up low-level b...
Changhai Xu, Yong Jae Lee, Benjamin Kuipers
GRAPHITE
2007
ACM
13 years 8 months ago
Visibility map for global illumination in point clouds
Point-sampled geometry has gained significant interest due to their simplicity. The lack of connectivity touted as a plus, however, creates difficulties in many operations like ge...
Rhushabh Goradia, Anil Kanakanti, Sharat Chandran,...
COMPGEOM
2001
ACM
13 years 8 months ago
Segment intersection searching problems in general settings
We consider segment intersection searching amidst (possibly intersecting) algebraic arcs in the plane. We show how to preprocess n arcs in time O(n2+ ) into a data structure of si...
Vladlen Koltun
IJCGA
2007
55views more  IJCGA 2007»
13 years 4 months ago
Parabola Separation Queries and their Application to Stone Throwing
Given two sets A and B of m non-intersecting line segments in the plane, we show how to compute in O(m log m) time a data structure that uses O(m) space and allows to answer the fo...
Otfried Cheong, Hazel Everett, Hyo-Sil Kim, Sylvai...