Abstract | ||
---|---|---|
We present an algorithm for finding optimum partitions of simple monotone rectilinear polygons into star-shaped polygons.
The algorithm may introduce Steiner points and its time complexity isO(n), wheren is the number of vertices in the polygon. We then use this algorithm to obtain anO(n logn) approximation algorithm for partitioning simple rectilinear polygons into star-shaped polygons with the size of the partition
being at most six times the optimum. |
Year | DOI | Venue |
---|---|---|
1991 | 10.1007/BF01759071 | Algorithmica |
Keywords | Field | DocType |
star-shaped polygons,polygon decomposition,computational geometry.,computational geometry,time complexity | Discrete mathematics,Polygon,Rectilinear polygon,Combinatorics,Polygon mesh,Boolean operations on polygons,Polygon covering,Smoothing group,Point in polygon,Star-shaped polygon,Mathematics | Journal |
Volume | Issue | ISSN |
6 | 6 | 0178-4617 |
Citations | PageRank | References |
0 | 0.34 | 6 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Robon Liu | 1 | 0 | 0.34 |
Simeon C. Ntafos | 2 | 599 | 98.18 |