Dynamic Algorithms for Visibility Polygons in Simple Polygons
نویسندگان
چکیده
منابع مشابه
Dynamic algorithms for visibility polygons
We devise dynamic algorithms for the following (weak) visibility polygon computation problems: • Maintaining visibility polygon of a fixed point located interior to simple polygon amid vertex insertions and deletions to simple polygon. • Answering visibility polygon query corresponding to any point located exterior to simple polygon amid vertex insertions and deletions to simple polygon. • Main...
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We address the following problem: Given a simple polygon $P$ with $n$ vertices and two points $s$ and $t$ inside it, find a minimum link path between them such that a given target point $q$ is visible from at least one point on the path. The method is based on partitioning a portion of $P$ into a number of faces of equal link distance from a source point. This partitioning is essentially a shor...
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In this paper we explore some novel aspects of visibility for stationary and moving points inside a simple polygon P . We provide a mechanism for expressing the visibility polygon from a point as the disjoint union of logarithmically many canonical pieces using a quadratic-space data structure. This allows us to report visibility polygons in time proportional to their size, but without the cubi...
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In this paper, we consider the problem of computing the weak visibility (WV ) of a query line segment inside a simple polygon. Our algorithm first preprocesses the polygon and creates data structures from which any WV query is answered efficiently in an output sensitive manner. In our solution, the preprocessing is performed in time O(n log n) and the size of the constructed data structure is O...
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For a simple polygon P of size n, we define weak visibility counting problem (WVCP) as finding the number of visible segments of P from a query line segment pq. We present different algorithms to compute WVCP in sub-linear time. In our first algorithm, we spend O(n) time to preprocess the polygon and build a data structure of size O(n), so that we can optimally answer WVCP in O(log n) time. The...
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ژورنال
عنوان ژورنال: International Journal of Computational Geometry & Applications
سال: 2020
ISSN: 0218-1959,1793-6357
DOI: 10.1142/s021819592050003x