Oja centers and centers of gravity - Archive ouverte HAL Access content directly
Journal Articles Computational Geometry Year : 2013

Oja centers and centers of gravity

(1) , (2) , (3) , (4) , (1)
1
2
3
4

Abstract

Oja depth (Oja 1983) is a generalization of the median to multivariate data that measures the centrality of a point x with respect to a set S of points in such a way that points with smaller Oja depth are more central with respect to S. Two relationships involving Oja depth and centers of mass are presented. The first is a form of Centerpoint Theorem which shows that the center of mass of the convex hull of a point set has low Oja depth. The second is an approximation result which shows that the center of mass of a point set approximates a point of minimum Oja depth.

Dates and versions

hal-00787177 , version 1 (30-05-2017)

Identifiers

Cite

Dan Chen, Olivier Devillers, John Iacono, Stefan Langerman, Pat Morin. Oja centers and centers of gravity. Computational Geometry, 2013, 46 (2), pp.140-147. ⟨10.1016/j.comgeo.2012.04.004⟩. ⟨hal-00787177⟩
146 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More