An O(n log n) algorithm for finding a shortest central link segment
UNSPECIFIED. (2000) An O(n log n) algorithm for finding a shortest central link segment. INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS, 10 (2). pp. 157-188. ISSN 0218-1959Full text not available from this repository.
A central link segment of a simple n-vertex polygon P is a segment s inside P that minimizes the quantity max(x epsilon P) min(y epsilon s) d(L)(x, y), where d(L)(x, y) is the link distance between points a: and y of P. In this paper we present an O(n log n) algorithm for finding a central link segment of P. This generalizes previous results for finding an edge or a segment of P from which P is visible. Moreover, in the same time bound, our algorithm finds a central link segment of minimum length. Constructing a central link segment has applications to the problems of finding an optimal robot placement in a simply connected polygonal region and determining the minimum value k for which a given polygon is k-visible from some segment.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Q Science > QA Mathematics
|Journal or Publication Title:||INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS|
|Publisher:||WORLD SCIENTIFIC PUBL CO PTE LTD|
|Number of Pages:||32|
|Page Range:||pp. 157-188|
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