Tobias Lenz
ABSTRACT
The presented alg rithm rec nstructs collections of arbitrary curves (open, closed, smooth, with corners, with or without intersections). The algorithm is very simple and short and follows a novel and simple greedy strategy. The corner and intersection points are not required to but allowed to be in the sample. The described method works for curves in any dimension d asymptotically in O (n2-1/d) time with involved data structures. Experiments show already a good performance with a very simple kd-tree structure.
- S.N. Bespamyatnikh. An optimal algorithm for closest pair maintenance. In Proc. 11th Annu. ACM Sympos. Comput. Geom., pages 152--161, 1995. Google Scholar
Digital Library
- T.K. Dey, K. Mehlhorn, and E.A. Ramos. Curve reconstruction: Connecting dots with good reason. Comput. Geom. Theory Appl., 15:229--244,2000. Google ScholarDigital Library
- T. Lenz. Simple reconstruction of non-simple curves. Technical Report B 05-02, Freie Universitat Berlin, March 2005.Google Scholar
- J. Matousek. Range searching with efficient hierarchical cuttings. Discrete Comput. Geom., 10(2): 157--182, 1993.Google ScholarDigital Library
Index Terms
- Reconstructing collections of arbitrary curves
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