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CCCG
2009
13 years 5 months ago
The Centervertex Theorem for Wedge Depth
There are many depth measures on point sets that yield centerpoint theorems. These theorems guarantee the existence of points of a specified depth, a kind of geometric median. How...
Gary L. Miller, Todd Phillips, Donald Sheehy
CCCG
2003
13 years 6 months ago
On the Number of Pseudo-Triangulations of Certain Point Sets
We pose a monotonicity conjecture on the number of pseudo-triangulations of any planar point set, and check it on two prominent families of point sets, namely the so-called double...
Oswin Aichholzer, David Orden, Francisco Santos, B...
CCCG
2006
13 years 6 months ago
Removing Outliers to Minimize Area and Perimeter
We consider the problem of removing c points from a set S of n points so that the resulting point set has the smallest possible convex hull. Our main result is an O n 4c 2c (3c)c +...
Rossen Atanassov, Pat Morin, Stefanie Wuhrer
CCCG
2006
13 years 6 months ago
On the Smallest Enclosing Information Disk
We present a generalization of Welzl's smallest enclosing disk algorithm [E. Welzl, Smallest enclosing disks (balls and ellipsoids), in: New Results and New Trends in Compute...
Frank Nielsen, Richard Nock
SODA
2007
ACM
123views Algorithms» more  SODA 2007»
13 years 6 months ago
Region-fault tolerant geometric spanners
We introduce the concept of region-fault tolerant spanners for planar point sets, and prove the existence of region-fault tolerant spanners of small size. For a geometric graph G ...
Mohammad Ali Abam, Mark de Berg, Mohammad Farshi, ...
COMPGEOM
2008
ACM
13 years 6 months ago
Embedding and similarity search for point sets under translation
Pattern matching in point sets is a well studied problem with numerous applications. We assume that the point sets may contain outliers (missing or spurious points) and are subjec...
Minkyoung Cho, David M. Mount
GD
2006
Springer
13 years 8 months ago
The Number of Triangulations on Planar Point Sets
We give a brief account of results concerning the number of triangulations on finite point sets in the plane, both for arbitrary sets and for specific sets such as the n
Emo Welzl
FSTTCS
2006
Springer
13 years 8 months ago
Computing a Center-Transversal Line
A center-transversal line for two finite point sets in R3 is a line with the property that any closed halfspace that contains it also contains at least one third of each point set...
Pankaj K. Agarwal, Sergio Cabello, Joan Antoni Sel...
ICCV
1999
IEEE
13 years 8 months ago
Epipolar Geometry Estimation by Tensor Voting in 8D
We present a novel, efficient, initializationfree approach to the problem of epipolar geometry estimation, by formulating it as one of hyperplane inference from a sparse and noisy...
Chi-Keung Tang, Gérard G. Medioni, Mi-Suen ...
CGI
2000
IEEE
13 years 9 months ago
Reconstruction of B-spline Surfaces from Scattered Data Points
We present a new approach for reconstructing a smooth surface from a set of scattered points in three-dimensional (3D) space. Our algorithm first decomposes a given point set int...
Benjamin F. Gregorski, Bernd Hamann, Kenneth I. Jo...