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CSDA
2008
108views more  CSDA 2008»
13 years 11 months ago
The random Tukey depth
The computation of the Tukey depth, also called halfspace depth, is very demanding, even in low dimensional spaces, because it requires that all possible one-dimensional projectio...
J. A. Cuesta-Albertos, A. Nieto-Reyes
SODA
2004
ACM
127views Algorithms» more  SODA 2004»
14 years 15 days ago
An optimal randomized algorithm for maximum Tukey depth
We present the first optimal algorithm to compute the maximum Tukey depth (also known as location or halfspace depth) for a non-degenerate point set in the plane. The algorithm is...
Timothy M. Chan
SAC
2008
ACM
13 years 10 months ago
Output-sensitive algorithms for Tukey depth and related problems
The Tukey depth (Tukey 1975) of a point p with respect to a finite set S of points is the minimum number of elements of S contained in any closed halfspace that contains p. Algori...
David Bremner, Dan Chen, John Iacono, Stefan Lange...
ESA
2011
Springer
252views Algorithms» more  ESA 2011»
12 years 11 months ago
Ray-Shooting Depth: Computing Statistical Data Depth of Point Sets in the Plane
Over the past several decades, many combinatorial measures have been devised for capturing the statistical data depth of a set of n points in R2 . These include Tukey depth [15], O...
Nabil H. Mustafa, Saurabh Ray, Mudassir Shabbir
CVPR
2012
IEEE
12 years 1 months ago
Graph cuts optimization for multi-limb human segmentation in depth maps
We present a generic framework for object segmentation using depth maps based on Random Forest and Graph-cuts theory, and apply it to the segmentation of human limbs in depth maps...
Antonio Hernández-Vela, Nadezhda Zlateva, A...