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Erschienen in:
2001 | OriginalPaper | Buchkapitel
Intersecting Red and Blue Line Segments in Optimal Time and Precision
verfasst von : Andrea Mantler, Jack Snoeyink
Erschienen in: Discrete and Computational Geometry
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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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.