Title
Shortest Non-Crossing Rectilinear Paths In Plane Regions
Abstract
Let A be a plane region inside an outer rectangle with r rectangular obstacles, and let k terminal pairs lie on the boundaries of the outer rectangle and one of the obstacles. This paper presents an efficient algorithm which finds ''non-crossing'' rectilinear paths in the plane region A, each connecting a terminal pair without passing through any obstacles, and whose total length is minimum. Non-crossing paths may share common points or line segments but do not cross each other in the plane. The algorithm takes time O(nlogn) where n = k + r.
Year
DOI
Venue
1997
10.1142/S0218195997000259
INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS
Keywords
DocType
Volume
algorithm, VLSI single-layer routing, non-crossing paths, rectilinear paths, plane region
Journal
7
Issue
ISSN
Citations 
5
0218-1959
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Jun-ya Takahashi1809.82
H. Suzuki223831.31
Takao Nishizeki31771267.08