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.

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