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» A Rectilinearity Measurement for Polygons
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ECCV
2002
Springer
14 years 7 months ago
A Rectilinearity Measurement for Polygons
In this paper we define a function R(P) which is defined for any polygon P and which maps a given polygon P into a number from the interval (0, 1]. The number R(P) can be used as a...
Jovisa D. Zunic, Paul L. Rosin
CORR
2012
Springer
249views Education» more  CORR 2012»
12 years 1 months ago
Computing Cartograms with Optimal Complexity
We show how to compute cartograms with worst-case optimal polygonal complexity. Specifically we study rectilinear duals which are side-contact representations of a planar graph G ...
Md. Jawaherul Alam, Therese C. Biedl, Stefan Felsn...
ASPDAC
2005
ACM
158views Hardware» more  ASPDAC 2005»
13 years 7 months ago
The polygonal contraction heuristic for rectilinear Steiner tree construction
— Motivated by VLSI/ULSI routing applications, we present a heuristic for rectilinear Steiner minimal tree (RSMT) construction. We transform a rectilinear minimum spanning tree (...
Yin Wang, Xianlong Hong, Tong Jing, Yang Yang, Xia...
STOC
1999
ACM
123views Algorithms» more  STOC 1999»
13 years 9 months ago
Covering Rectilinear Polygons with Axis-Parallel Rectangles
We give an O( log n) factor approximation algorithm for covering a rectilinear polygon with holes using axis-parallel rectangles. This is the first polynomial time approximation a...
V. S. Anil Kumar, H. Ramesh
GIS
2006
ACM
14 years 6 months ago
Optimal BSPs and rectilinear cartograms
A cartogram is a thematic map that visualizes statistical data about a set of regions like countries, states or provinces. The size of a region in a cartogram corresponds to a par...
Mark de Berg, Elena Mumford, Bettina Speckmann