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» Measuring linearity of planar point sets
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PR
2008
132views more  PR 2008»
13 years 5 months ago
Measuring linearity of planar point sets
Our goal is to design algorithms that give a linearity measure for planar point sets. There is no explicit discussion on linearity in literature, although some existing shape meas...
Milos Stojmenovic, Amiya Nayak, Jovisa D. Zunic
COMPGEOM
2006
ACM
13 years 11 months ago
Random triangulations of planar point sets
Let S be a finite set of n + 3 points in general position in the plane, with 3 extreme points and n interior points. We consider triangulations drawn uniformly at random from the...
Micha Sharir, Emo Welzl
PSIVT
2007
Springer
110views Multimedia» more  PSIVT 2007»
13 years 11 months ago
Measuring Linearity of Ordered Point Sets
It is often practical to measure how linear a certain ordered set of points is. We are interested in linearity measures which are invariant to rotation, scaling, and translation. T...
Milos Stojmenovic, Amiya Nayak
SIAMCOMP
1998
114views more  SIAMCOMP 1998»
13 years 5 months ago
Maximum k-Chains in Planar Point Sets: Combinatorial Structure and Algorithms
A chain of a set P of n points in the plane is a chain of the dominance order on P. A k-chain is a subset C of P that can be covered by k chains. A k-chain C is a maximum k-chain ...
Stefan Felsner, Lorenz Wernisch
CIARP
2008
Springer
13 years 7 months ago
Measuring the Related Properties of Linearity and Elongation of Point Sets
The concept of elongation is generally well understood. However, there is no clear, precise, mathematical definition of elongation in any dictionary we could find. We propose that ...
Milos Stojmenovic, Amiya Nayak