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CCCG
2008
13 years 11 months ago
Data Structures for Restricted Triangular Range Searching
We present data structures for triangular emptiness and reporting queries for a planar point set, where the query triangle contains the origin. The data structures use near-linear...
Mashhood Ishaque, Diane L. Souvaine, Nadia Benbern...
CCCG
2008
13 years 11 months ago
Recognition of Largest Empty Orthoconvex Polygon in a Point Set
An algorithm for computing the maximum area empty isothetic orthoconvex polygon among a set of n points in a rectangular region, is presented. The worst case time and space comple...
Subhas C. Nandy, Krishnendu Mukhopadhyaya, Bhargab...
CCCG
2008
13 years 11 months ago
Computing Dehn Twists and Geometric Intersection Numbers in Polynomial Time
Simple curves on surfaces are often represented as sequences of intersections with a triangulation. However, there are much more succinct ways of representing simple curves used i...
Marcus Schaefer, Eric Sedgwick, Daniel Stefankovic
CCCG
2008
13 years 11 months ago
Triangulating and Guarding Realistic Polygons
We propose a new model of realistic input: k-guardable objects. An object is k-guardable if its boundary can be seen by k guards in the interior of the object. In this abstract, w...
Greg Aloupis, Prosenjit Bose, Vida Dujmovic, Chris...
CCCG
2008
13 years 11 months ago
Core-Preserving Algorithms
We define a class of algorithms for constructing coresets of (geometric) data sets, and show that algorithms in this class can be dynamized efficiently in the insertiononly (data ...
Hamid Zarrabi-Zadeh