Smallest paths in simple rectilinear polygons
WebbA smallest path between two points is a rectilinear path that simultaneously minimizes distance and the number of horizontal and vertical line segments in the path. Potential applications of smallest rectilinear paths include the simultaneous ... WebbA rectilinear polygon is a polygon all of whose sides meet at right angles. Thus the interior angle at each vertex is either 90° or 270°. Rectilinear polygons are a special case of isothetic polygons . In many cases another definition is preferable: a rectilinear polygon is a polygon with sides parallel to the axes of Cartesian coordinates.
Smallest paths in simple rectilinear polygons
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WebbA rectilinear path is a path composed only of horizontal and vertical line segments. Such paths may be constrained by requiring that they lie only within certain areas. One way of … WebbWith the advent of autonomous robots with two- and three-dimensional scanning capabilities, classical visibility-based exploration methods from computational geometry have gained in practical importance. However, real-…
WebbUnlike in the case of simple polygon, the rectilinear link center may be disconnected. Lemma 2.1 also holds in the rectilinear setting. The main steps in their algorithm are the same as in those of Djidjev et al. [25]. We omit the details and summarize the result in the following: Theorem 2.15 (Nilsson and Schuierer [69]) The rectilinear link ... Webb27 juni 2024 · Three types of bicriteria rectilinear paths are considered: minimum-link shortest paths, shortest minimum-link paths, and minimum-cost paths where the cost of …
WebbSuch paths have already been studied, e.g. in [4, 9, 14, 15], where shortest rectilinear paths in the LI-metric are sought. Instead, we are interested in shortest rectilinear paths in the link distance metric. We will restrict ourselves in this paper ... Definition 1 Let P be a simple rectilinear polygon. A (rectilinear) path 7r (in P) Webb16 mars 1987 · Given a source polygon S, a target polygon T, and a set of obstacle polygons m the plane, a shortest path between S and T is computed in O (n2) time, where n is the total number of edges. Proof. We prove the theorem by presenting an algorithm for finding a shortest path between two simple polygons and then analyzing its time com- …
WebbWe present a data structure that allows to preprocess a rectilinear polygon with n vertices such that, for any two query points, the shortest path in the rectilinear link or L 1-metric …
Webb1 mars 1999 · In this paper we present optimal sequential and parallel algorithms to compute a minimum rectilinear link path in a trapezoided region R. Our parallel algorithm requires O (log n) time using a... signalis achievement guide and roadmapsignal ir c#WebbA classical problem of geometry is the following: given a convex polygon in the plane, find an inscribed polygon of shortest circumference. In this paper we generalize this problem … signal ir microsoft teamsWebb1 jan. 2005 · Smallest paths in simple rectilinear polygons. IEEE Transactions on Computer-Aided Design, 11 (7):864–875, 1992. Google Scholar B. J. Nilsson and S. Schuierer. Computing the rectilinear link diameter of a polygon. In H. Bieri, editor, Proc. Workshop on Computational Geometry, pages 203–216, LNCS 553, 1991. Google Scholar signalis artifact endingWebb28 mars 2024 · A minimum link path is a polygonal path between two points s and t inside a simple polygon P with n vertices that has the minimum number of links. Minimum link paths are fundamentally different from traditional Euclidean shortest path, which has the shortest length among all the polygonal paths without crossing edges of P . the process of blood clotting isWebbD. Lee and F. Preparata, Euclidean shortest paths in the presence of rectilinear boundaries, Networks, 14 (1984), ... ection Paths in Simple Polygons. CoRR abs/1304.4320, 2014. Visibility in PolygonsEuclidean Shortest PathsMinimum Link … signalis age ratingWebbThe problem of finding a rectilinear shortest path amongst obstacles may be stated as follows: Given a set of obstacles in the plane find a shortest rectilinear (L 1) path from a … the process of blood clotting is called