Integrating by Spheres: Summary of Blaschke-Petkantschin Formulas

Abstract

In some applications, like some areas in stochastic geometry, a convenient change of variables involves spheres. In this review we summarize formulas of Blaschke-Petkantschin type, that help to pass from integration over $k$-tuples of points in space to the integration by some sphere passing through those points.

8 pages

References in corpus (2)

• Expected Sizes of Poisson-Delaunay Mosaics and Their Discrete Morse Functions
• Random Inscribed Polytopes Have Similar Radius Functions as Poisson-Delaunay Mosaics