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ESA
2011
Springer
252views Algorithms» more  ESA 2011»
12 years 4 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
COMPGEOM
2003
ACM
13 years 9 months ago
Cost-driven octree construction schemes: an experimental study
Given a scene consisting of objects, ray shooting queries answer with the first object encountered by a given ray, and are used in ray tracing and radiosity for rendering photo-r...
Boris Aronov, Hervé Brönnimann, Allen ...
DCG
2008
86views more  DCG 2008»
13 years 4 months ago
Efficient Algorithms for Maximum Regression Depth
We investigate algorithmic questions that arise in the statistical problem of computing lines or hyperplanes of maximum regression depth among a set of n points. We work primarily...
Marc J. van Kreveld, Joseph S. B. Mitchell, Peter ...
SODA
2004
ACM
127views Algorithms» more  SODA 2004»
13 years 6 months 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
ICDM
2007
IEEE
183views Data Mining» more  ICDM 2007»
13 years 11 months ago
Depth-Based Novelty Detection and Its Application to Taxonomic Research
It is estimated that less than 10 percent of the world’s species have been described, yet species are being lost daily due to human destruction of natural habitats. The job of d...
Yixin Chen, Henry L. Bart Jr., Xin Dang, Hanxiang ...