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» A Rectilinearity Measurement for Polygons
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97
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ECCV
2002
Springer
16 years 23 days 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»
13 years 6 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...
96
Voted
ASPDAC
2005
ACM
158views Hardware» more  ASPDAC 2005»
15 years 26 days 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...
77
Voted
STOC
1999
ACM
123views Algorithms» more  STOC 1999»
15 years 3 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
15 years 12 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