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» The Complexity of Separating Points in the Plane
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COMPGEOM
2009
ACM
15 years 2 months ago
k-means requires exponentially many iterations even in the plane
The k-means algorithm is a well-known method for partitioning n points that lie in the d-dimensional space into k clusters. Its main features are simplicity and speed in practice....
Andrea Vattani
81
Voted
IJCGA
2006
85views more  IJCGA 2006»
14 years 9 months ago
Some Lower Bounds on Geometric Separability Problems
We obtain lower bounds in the algebraic computation tree model for deciding the separability of two disjoint point sets. In particular, we show (n log n) time lower bounds for sep...
Esther M. Arkin, Ferran Hurtado, Joseph S. B. Mitc...
73
Voted
CAIP
1999
Springer
140views Image Analysis» more  CAIP 1999»
15 years 1 months ago
Complex Analysis for Reconstruction from Controlled Motion
We address the problem of control-based recovery of robot pose and the environmental lay-out. Panoramic sensors provide us with a 1D projection of characteristic features of a 2D ...
R. Andrew Hicks, David Pettey, Konstantinos Daniil...
IJCGA
2007
55views more  IJCGA 2007»
14 years 9 months ago
Parabola Separation Queries and their Application to Stone Throwing
Given two sets A and B of m non-intersecting line segments in the plane, we show how to compute in O(m log m) time a data structure that uses O(m) space and allows to answer the fo...
Otfried Cheong, Hazel Everett, Hyo-Sil Kim, Sylvai...
80
Voted
CVPR
2008
IEEE
15 years 11 months ago
Efficient object shape recovery via slicing planes
Recovering the three-dimensional (3D) object shape lies as an unresolved and active research topic on the crosssection of computer vision, photogrammetry and bioinformatics. Altho...
Po-Lun Lai, Alper Yilmaz