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Computing Minimal Sets of External Visibility
McGill University. School of Computer Science
Simon Fraser University. Centre for Systems Science
B. K. Bhattacharya
G. T. Toussaint
出版
MacGill University. School of Computer Science
, 1988
URL
http://books.google.com.hk/books?id=jcdDGwAACAAJ&hl=&source=gbs_api
註釋
Abstract: "Given a simple polygon P consisting of n sides and a line L not intersecting P, we say that P is weakly externally visible from L if for every point x on the boundary of P there exists a point y in L such that the interior of the line segment [x, y] does not intersect the interior of P. Clearly a convex polygon is weakly externally visible from every such line L. However, it is not necessarily so visible from a given line segment. It is shown that, given a convex polygon P, the minimal length line segment from which P is weakly externally visible can be found in O(n) time. The algorithm is based on the solution to a fundamental geometric minimization problem that is of independent interest and should find application in several different contexts."