Title
Intersecting Red and Blue Line Segments in Optimal Time and Precision
Abstract
A common geometric problem in computer graphics and geographic information systems is to compute the arrangement of a set of n segments that can be colored red and blue so that there are no red/red or blue/blue crossings. We give a sweep algorithm that uses the minimum arithmetic precision and runs in optimal O(n log n + k) time and O(n) space to output an arrangement with k vertices, or O(n log n) time to determine k. Our initial implementation in Java can be found at http:\\www.cs.unc.edu\~snoeyink\demos\rbseg.
Year
Venue
Keywords
2000
JCDCG
minimum arithmetic precision,common geometric problem,geographic information system,optimal time,k vertex,blue line segments,intersecting red,optimal o,blue crossing,n log n,n segment,computer graphics,initial implementation,computer graphic,information system
Field
DocType
Volume
Discrete mathematics,Line segment,Colored,Vertex (geometry),Computer science,Algorithm,Problem complexity,Time complexity,Computer graphics,Java
Conference
2098
ISSN
ISBN
Citations 
0302-9743
3-540-42306-0
1
PageRank 
References 
Authors
0.36
17
2
Name
Order
Citations
PageRank
Andrea Mantler1826.54
Jack Snoeyink22842231.68