31 search results - page 1 / 7 » Output-sensitive algorithms for Tukey depth and related prob... |
SAC
2008
ACM
13 years 5 months ago
2008
ACM
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...
SODA
2004
ACM
13 years 6 months ago
2004
ACM
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...
COMPGEOM
2007
ACM
13 years 9 months ago
2007
ACM
For polytopes P, Q Rd we consider the intersection P Q; the convex hull of the union CH(P Q); and the Minkowski sum P + Q. We prove that given rational H-polytopes P1, P2, Q it...
ICIP
2009
IEEE
14 years 6 months ago
2009
IEEE
This paper presents an algorithm for tree-based representation of single images and its applications to segmentation and filtering with depth. In a our recent work, we have addres...
SODA
2010
ACM
14 years 2 months ago
2010
ACM
We give an O(n lg n)-time algorithm for counting the number of inversions in a permutation on n elements. This improves a long-standing previous bound of O(n lg n/ lg lg n) that ...