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APVIS
2006
14 years 11 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
14 years 11 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
14 years 11 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»
14 years 11 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»
14 years 10 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...