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» On the Number of Halving Planes
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APVIS
2006
15 years 3 months ago
Visualizing multivariate network on the surface of a sphere
A multivariate network is a graph whose nodes contain multi-dimensional attributes. We propose a method to visualize such a network using spherical Self-Organizing Map (SOM) and c...
Yingxin Wu, Masahiro Takatsuka
CCCG
2006
15 years 3 months ago
An O(n log n) Algorithm for the All-Farthest-Segments Problem for a Planar Set of Points
In this paper, we propose an algorithm for computing the farthest-segment Voronoi diagram for the edges of a convex polygon and apply this to obtain an O(n log n) algorithm for th...
Asish Mukhopadhyay, Robert L. Scot Drysdale
CCCG
2006
15 years 3 months ago
Optimal Polygon Placement
Given a simple polygon P with m vertices and a set S of n points in the plane, we consider the problem of finding a rigid motion placement of P that contains the maximum number of...
Prosenjit Bose, Jason Morrison
SODA
1992
ACM
109views Algorithms» more  SODA 1992»
15 years 3 months ago
New Algorithms for Minimum Area k-gons
Given a set P of n points in the plane, we wish to find a set Q P of k points for which the convex hull conv(Q) has the minimum area. We solve this, and the related problem of fi...
David Eppstein
DM
2010
96views more  DM 2010»
15 years 2 months ago
On well-rounded sublattices of the hexagonal lattice
Abstract. We produce an explicit parameterization of well-rounded sublattices of the hexagonal lattice in the plane, splitting them into similarity classes. We use this parameteriz...
Lenny Fukshansky, Daniel Moore, R. Andrew Ohana, W...