Smallest paths in simple rectilinear polygons
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 … WebbAbstract: Smallest rectilinear paths are rectilinear paths with simultaneous minimum numbers of bends and minimum lengths. Given two pairs of terminals within a rectilinear polygon, the authors derive an algorithm to find a pair of noncrossing rectilinear paths within the polygon such that the total number of bends and the total length are both …
Smallest paths in simple rectilinear polygons
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Webb1 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 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 …
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 . 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.
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. WebbSMALLEST PATHS IN POLYGONS Kenneth M. McDonald B.Sc. (Hons.), University of Saskatchewan, 1986 THESIS SUBMITTED IN PARTIAL FULFLLLMENT OF THE REQUIREMENTS FOR TI-E DEGREE OF MASTER OF SCIENCE in the School of Computing Science O Kenneth M. McDonald 1989 SIMON FRASER UNIVERSITY
Webb13 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.
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 ... on this day in history may 2ndWebb7 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). on this day in history may 20WebbA 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 … on this day in history may 5thWebb1 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 … iosh safetyWebb1 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 … on this day in history may 2 1970WebbAlthough a smallest rectilinear path between two terminals in a rectilinear polygon always exists, we show that such a smallest pair may not exist for some problem instances. iosh roles and responsibilitiesWebb1 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 on this day in history may 3