Smallest paths in simple rectilinear polygons

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August undefined, 2024

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 … Webb1 apr. 2024 · Abstract We compute shortest paths connecting two axis-aligned rectilinear simple polygons in the domain consisting of axis-aligned rectilinear obstacles in the plane. The bounding boxes, one defined for each polygon and …

On rectilinear link distance - Eindhoven University of Technology

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-… WebbD. 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 … impact pêche

An Optimal Algorithm for Minimum-Link Rectilinear Paths in Rectilinear …

Webb27 dec. 2016 · In the traditional shortest path problem inside a simple polygon, the input consists of P and a pair of points s,t \in P; the objective is to connect s and t by a path in P of minimum length. Here a path is a sequence of line segments, called the edges of the path; the path changes the direction (or turns) only at the vertices of P. WebbSmallest rectilinear paths are rectilinear paths with a minimum number of bends and with a minimum length simultaneously. In this paper, given two pairs of terminals within a … WebbWe provide optimal parallel solutions to several link-distance problems set in trapezoided rectilinear polygons. All our main parallel algorithms are deterministic and designed to run on the exclusive read exclusive write parallel random access machine (... impactpeople.net

Rectilinear path queries in a simple rectilinear polygon

Minimum-Link Shortest Paths for Polygons amidst Rectilinear

Webb7 apr. 2024 · This paper shows how to preprocess the polygon so that, given two query points p and q inside P, the length of the shortest path inside the polygon from p to q can be found in time O(log n). Webb20 sep. 2024 · In this paper we consider the L 1-metric inside a simple rectilinear polygon P, i.e. the distance between two points in P is defined as the length of a shortest rectilinear path connecting them. impact pendletonWebbA 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. impact pedaling

"Webbsimple polygons. Shortest link paths with respect to non-intersecting polygonal obstacles are considered by Mitchell, Rote and Woginger[22]. They give an O(n2a(n)log2 n) time algorithm. De Berg[8] studies rectilinear shortest link paths inside rectilinear polygons. He devises a data structure of size O( n log n), such that a rectilinear ... " - Smallest paths in simple rectilinear polygons

Smallest paths in simple rectilinear polygons

Maximal Distortion of Geodesic Diameters in Polygonal Domains

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 … 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 ...

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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 … Webb1 aug. 1990 · We consider the terrain navigation problem in a two-dimensional polygonal subdivision with three types of regions: obstacles, “free” regions (in which one can travel at no cost), and regions in which cost is proportional to distance traveled.

Webb1 jan. 2005 · K. M. McDonald and J. G. Peters, “Smallest paths in simple rectilinear polygons,” IEEE Trans. CAD, 11,7 July 1992, 864–875. Google Scholar K. Mikami and K. Tabuchi, “A computer program for optimal routing of printed circuit connectors,” IFIPS Proc., Vol. H47, 1968, 1475–1478. Google Scholar WebbGraph algorithms and computational geometry form separate communities with separate conferences such as the International Workshop on Graph-Theoretic Concepts in Computer Science and the ACM Symposium on Computational Geometry, respectively, but they also meet in broader algorithms conferences, and there has been much interplay between the …

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- … 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 ...

Webb7 nov. 1994 · There exists a shortest path from S to T which is not x-, y-, or xy-monotone. However, C S is the rectilinear polygon without holes, so we can use the algorithm of …

Webb28 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 . impact per paper ippWebb1 apr. 2024 · We compute shortest paths connecting two axis-aligned rectilinear simple polygons in the domain consisting of axis-aligned rectilinear obstacles in the plane. The … list the presidents in order of serviceWebb1 nov. 2006 · Potential applications of smallest rectilinear paths include the simultaneous minimization of vias and wire lengths in two-layer chips, optimization of routes for … impact performance golf learning centerWebbSmallest rectilinear paths are rectilinear paths with simultaneous minimum numbers of bends and minimum lengths. Given two pairs of terminals within a rectiline The smallest … list the powerpuff girlWebb1 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 impact personal safetyWebb13 maj 1988 · The shortest path in the `unrolled' polygon is equivalent to the shortest route in the original polygon P. Proof. From elementary geometry, it is known that if two points (or lines) A and B are on the same side of a line (or line segment) L, then the Volume 28, Number 1 INFORMATION PROCESSING LETTERS 30 May 1388 IL (a) (d) ,ti, (c) L___J Fig. 3. impact personal safety los angelesWebb27 juni 2024 · Minimum-Link Shortest Paths for Polygons amidst Rectilinear Obstacles. Consider two axis-aligned rectilinear simple polygons in the domain consisting of axis … impactpharm