Smallest paths in simple rectilinear polygons

Author: erdy

August undefined, 2024

Webb27 juni 2024 · A rectilinear path consists of horizontal and vertical segments, each of which is called link . Among all shortest paths from p to q, we are interested in a … Webb22 okt. 2024 · It generalizes the histogram partition of simple rectilinear polygons [16]. We first introduce some notation and concepts. The L 1 shortest path map and single …

Optimal parallel algorithms for rectilinear link-distance problems ...

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 … 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. green valley circular

Rectilinear path queries in a simple rectilinear polygon

Webb27 apr. 2012 · This Demonstration illustrates an algorithm for finding the shortest path that stays inside a polygon and connects two given interior points. Aside from the start and … 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 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 … green valley circle culver city

The Smallest Pair of Noncrossing Paths in a Rectilinear Polygon

L1 shortest path queries in simple polygons - ScienceDirect

Webb32ﬁnd min-linkrectilinearpaths in rectilinear polygonal domains. 33Previous Work. Linear-time algorithms have been given for ﬁnding min-link 34paths in simple polygons [9,10,21–23]. The link distance map can also be built 35in linear time [21–23] for simple polygons, with the standard query performance. 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 … green valley cleaners long beachWebbA 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 … green valley cleaners and laundromat

"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 . " - Smallest paths in simple rectilinear polygons

Smallest paths in simple rectilinear polygons

Optimal parallel algorithms for rectilinear link-distance problems ...

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 · 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

Did you know?

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. WebbThe number of rectilinear blocks n is 7, and that of shapes t is 6. The task is to pack these seven items into the rectangular container so as to minimize the height of the container. Figure 1: An instance of the rectilinear block packing problem and a solution We de ne the bounding box of item Ri as the smallest rectangle that encloses Ri, and

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 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 …

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... WebbThe Smallest Pair of Noncrossing Paths in a Rectilinear Polygon @article{Yang1997TheSP, title={The Smallest Pair of Noncrossing Paths in a Rectilinear Polygon}, author={Chung …

WebbIt is shown that shortest-path queries can be performed optimally in time O(logh + logn) (plus O(k) time for reporting the k edges of the path) using a data structure with O(n) space and preprocessing time, and that minimum-link- path queries can also be performed in optimal time. Expand 12 PDF Save Alert

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). fnf mann co psych engineWebb27 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 … greenvalleycleanser.comWebb27 juni 2024 · Minimum-Link Shortest Paths for Polygons amidst Rectilinear Obstacles. Consider two axis-aligned rectilinear simple polygons in the domain consisting of axis … green valley cleaners roseburgWebbA 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 ... fnf mannco twitterWebb1 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 … fnf mann co testWebb1 jan. 2005 · We present a data structure that allows to preprocess a rectilinear polygon such that shortest path queries in the rectilinear link or L 1 metric for any two points can … fnf mannheim cateringWebb17 mars 2024 · The geodesic edge center of a polygon is a point c inside the polygon that minimizes the maximum geodesic distance from c to any edge of the polygon, where geodesic distance is the shortest path distance inside the polygon. We give a linear-time algorithm to find a geodesic edge center of a simple polygon. This improves on the … fnf manny edition v1