Electronic Resource
Springer
Algorithmica
6 (1991), S. 182-191
ISSN:
1432-0541
Keywords:
Motion planning
;
Polygonal obstacles
;
Computational geometry
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract An algorithm is given for finding a collision-free path for a disc between a collection of polygons havingn corners in total. The polygons are fixed and can be preprocessed. A query specifies the radiusr of the disc to be moved and the start and destination points of the center of the disc. The answer whether a feasible path exists is given in timeO(logn). Returning a feasible path is done in additional time proportional to the length of the description of the path. Preprocessing time isO(n logn) and space complexity isO(n).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01759040
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