The mean width of the oloid and integral geometric applications of it

zbMath1412.53010arXiv1604.07245MaRDI QIDQ4632077

Uwe Bäsel

Publication date: 25 April 2019

Full work available at URL: https://arxiv.org/abs/1604.07245

zbMATH Keywords

convex hullSteiner formulamean widthintegral of mean curvatureintrinsic volumesprincipal kinematic formulaparallel bodyoloid

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Surfaces in Euclidean and related spaces (53A05) Convex sets in (3) dimensions (including convex surfaces) (52A15) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Uses Software

• OEIS

Cites Work

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• Inside interesting integrals (with an introduction to contour integration). A collection of sneaky tricks, sly substitutions, and numerous other stupendously clever, awesomely wicked, and devilishly seductive maneuvers for computing nearly 200 perplexing definite integrals from physics, engineering, and mathematics (plus 60 challenge problems with complete, detailed solutions)
• The extended oloid and its inscribed quadrics
• Integralgeometrie für Stereologie und Bildrekonstruktion
• Stochastic and Integral Geometry

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