Integrating by Spheres: Summary of Blaschke-Petkantschin Formulas
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🧮 math.MG
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someblaschke-petkantschinformulasintegrationpointsspheresapplicationsareas
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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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