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» Data Structures for Restricted Triangular Range Searching
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CCCG
2008
13 years 6 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
2010
13 years 6 months ago
I/O-efficient triangular range search and its application
In this paper, we consider a special type of triangular range search for a planar point set S in the I/O-model. Here, two sides of the query triangle are parallel to the coordinat...
Gautam K. Das, Bradford G. Nickerson
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
DCC
2008
IEEE
14 years 4 months ago
Geometric Burrows-Wheeler Transform: Linking Range Searching and Text Indexing
We introduce a new variant of the popular Burrows-Wheeler transform (BWT) called Geometric Burrows-Wheeler Transform (GBWT). Unlike BWT, which merely permutes the text, GBWT conve...
Yu-Feng Chien, Wing-Kai Hon, Rahul Shah, Jeffrey S...
CCCG
2010
13 years 6 months ago
Towards a dynamic data structure for efficient bounded line range search
We present a data structure for efficient axis-aligned orthogonal range search on a set of n lines in a bounded plane. The algorithm requires O(log n + k) time in the worst case t...
Thuy Le, Bradford G. Nickerson