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» The projection median of a set of points in Rd
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CCCG
2010
13 years 11 months ago
The projection median of a set of points in Rd
The projection median of a finite set of points in R2 was introduced by Durocher and Kirkpatrick [5]. They proved the projection median in R2 provides a better approximation of th...
Riddhipratim Basu, Bhaswar Bhattacharya, Tanmoy Ta...
ICCV
2009
IEEE
15 years 2 months ago
Mode-Detection via Median-Shift
Median-shift is a mode seeking algorithm that relies on computing the median of local neighborhoods, instead of the mean. We further combine median-shift with Locality Sensitive...
Lior Shapira, Shai Avidan, Ariel Shamir
CCCG
2009
13 years 11 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
COMPGEOM
2007
ACM
14 years 1 months ago
Bi-criteria linear-time approximations for generalized k-mean/median/center
We consider the problem of approximating a set P of n points in Rd by a collection of j-dimensional flats, and extensions thereof, under the standard median / mean / center measur...
Dan Feldman, Amos Fiat, Micha Sharir, Danny Segev
COMPGEOM
2003
ACM
14 years 3 months ago
High-dimensional shape fitting in linear time
Let P be a set of n points in Rd. The radius of a k-dimensional flat F with respect to P, denoted by RD(F, P), is defined to be maxp∈P dist(F, p), where dist(F, p) denotes the...
Sariel Har-Peled, Kasturi R. Varadarajan