Centers and invariant points of convex bodies. (English) Zbl 0742.52004
Applied geometry and discrete mathematics, Festschr. 65th Birthday Victor Klee, DIMACS, Ser. Discret. Math. Theor. Comput. Sci. 4, 367-385 (1991).
[For the entire collection see Zbl 0726.00015.]
This is a survey paper presenting “geometric” and “analytic” centers of convex bodies. Among others there are informations concerning Santalo points, centroid points, Steiner points, curvature centroids, Huard centers, and volumetric centers. The list of references consists of 70 papers.
This is a survey paper presenting “geometric” and “analytic” centers of convex bodies. Among others there are informations concerning Santalo points, centroid points, Steiner points, curvature centroids, Huard centers, and volumetric centers. The list of references consists of 70 papers.
Reviewer: J.Niewiarowski (Łódź)
MSC:
52A20 | Convex sets in \(n\) dimensions (including convex hypersurfaces) |
90C05 | Linear programming |
52-02 | Research exposition (monographs, survey articles) pertaining to convex and discrete geometry |