Smallest paths in simple rectilinear polygons
WebbSmallest paths in simple rectilinear polygons. IEEE Trans. CAD/ICAS 11, 7 (July), 864-875. O'ROURKE, J. 1987. Art Gallery Theorems and Algorithms. Oxford University Press, Oxford, England. PAPADIMITRIOU, C., AND YANNAKAKIS, M. 1991. Shortest paths without a map. Theoret. Comput. Sci. 84, 127-150. SHERMER, f. 1992. Recent results in art galleries. 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 …
Smallest paths in simple rectilinear polygons
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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 …
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 minimization of vias … 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 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. WebbSmallest rectilinear paths are rectilinear paths with simultaneous minimum numbers of bends and minimum lengths. Given two pairs of terminals within a rectiline The smallest …
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 · We compute shortest paths connecting two axis-aligned rectilinear simple polygons in the domain consisting of axis-aligned rectilinear obstacles in the plane. The … poplar east endWebb22 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 … share the dignity bag tagsWebbAbstract: 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 … poplar east apartments memphis tnWebb17 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 … poplar educationWebbIt 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 share the dignity bunningsWebb13 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. share the dignity boardWebbWith 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-… poplar elementary fontana