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» A Symmetric Convexity Measure
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ICPR
2004
IEEE
14 years 5 months ago
A Symmetric Convexity Measure
A new area-based convexity measure for polygons is described. It has the desirable properties that it is not sensitive to small boundary defects, and it is symmetric with respect ...
Paul L. Rosin, Christine L. Mumford
DCG
2008
76views more  DCG 2008»
13 years 4 months ago
Asymmetry of Convex Polytopes and Vertex Index of Symmetric Convex Bodies
In [GL] it was shown that a polytope with few vertices is far from being symmetric in the Banach-Mazur distance. More precisely, it was shown that Banach-Mazur distance between su...
E. D. Gluskin, A. E. Litvak
MP
2008
74views more  MP 2008»
13 years 4 months ago
On the symmetry function of a convex set
Abstract. We attempt a broad exploration of properties and connections between the symmetry function of a convex set S IRn and other arenas of convexity including convex functions...
Alexandre Belloni, Robert M. Freund
PR
2007
116views more  PR 2007»
13 years 4 months ago
GAPS: A clustering method using a new point symmetry-based distance measure
In this paper, an evolutionary clustering technique is described that uses a new point symmetry-based distance measure. The algorithm is therefore able to detect both convex and n...
Sanghamitra Bandyopadhyay, Sriparna Saha
DCG
2002
76views more  DCG 2002»
13 years 4 months ago
The Unit Distance Problem for Centrally Symmetric Convex Polygons
Let f(n) be the maximum number of unit distances determined by the vertices of a convex n-gon. Erdos and Moser conjectured that this function is linear. Supporting this conjecture...
Bernardo M. Ábrego, Silvia Fernández...