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» The projection median of a set of points in Rd
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CCCG
2010
13 years 6 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
14 years 9 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 5 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
13 years 8 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
13 years 10 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