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. © 2012 Elsevier B.V. All rights reserved.SCOPUS: cp.jinfo:eu-repo/semantics/publishe
Acknowledgements The work of Klaus Nordhausen was supported by the Academy of Finland (grant 268703)...
This paper proposes a simple and easy methods for determining the centre of gravity of a motionless ...
In many situations in Newtonian gravity, understanding the motion of the center of mass of a system ...
International audienceOja depth (Oja 1983) is a generalization of the median to multivariate data th...
International audienceThe relationships between the Oja median and centers of gravity are considered
Given a set P of n points in the plane, the Oja depth of a point x R 2 is defined to be the sum of t...
International audienceGiven a set P of n points in the plane, the Oja depth of a point x is defined ...
Given a set P of n points in the plane, the Oja-depth of a point x ∈ R2 is defined to be the sum of ...
Proceedings of the 22nd Annual Canadian Conference on Computational Geometry, Winnipeg, Manitoba, Ca...
We generalize the Tukey depth to use cones instead of halfspaces. We prove a generalization of the c...
The centerpoint theorem is a well-known and widely used result in discrete geometry. It states that ...
This dissertation investigates general center points of polygons and convex bodies and some of their...
Little known relations of the renown concept of the halfspace depth for multivariate data with notio...
Every notion of depth induces a stratification of the plane in regions of points with the same depth...
<p>Location of center of gravity across all participants in both groups. As the averages demonstrate...
Acknowledgements The work of Klaus Nordhausen was supported by the Academy of Finland (grant 268703)...
This paper proposes a simple and easy methods for determining the centre of gravity of a motionless ...
In many situations in Newtonian gravity, understanding the motion of the center of mass of a system ...
International audienceOja depth (Oja 1983) is a generalization of the median to multivariate data th...
International audienceThe relationships between the Oja median and centers of gravity are considered
Given a set P of n points in the plane, the Oja depth of a point x R 2 is defined to be the sum of t...
International audienceGiven a set P of n points in the plane, the Oja depth of a point x is defined ...
Given a set P of n points in the plane, the Oja-depth of a point x ∈ R2 is defined to be the sum of ...
Proceedings of the 22nd Annual Canadian Conference on Computational Geometry, Winnipeg, Manitoba, Ca...
We generalize the Tukey depth to use cones instead of halfspaces. We prove a generalization of the c...
The centerpoint theorem is a well-known and widely used result in discrete geometry. It states that ...
This dissertation investigates general center points of polygons and convex bodies and some of their...
Little known relations of the renown concept of the halfspace depth for multivariate data with notio...
Every notion of depth induces a stratification of the plane in regions of points with the same depth...
<p>Location of center of gravity across all participants in both groups. As the averages demonstrate...
Acknowledgements The work of Klaus Nordhausen was supported by the Academy of Finland (grant 268703)...
This paper proposes a simple and easy methods for determining the centre of gravity of a motionless ...
In many situations in Newtonian gravity, understanding the motion of the center of mass of a system ...