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Crofton's formula generalized to projected thick sections

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Publication:1163743
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DOI10.1007/BF02845135zbMath0484.52005MaRDI QIDQ1163743

Rolf Schneider

Publication date: 1981

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)


zbMATH Keywords

integral geometryCrofton's formulamoving cylindersthick section stereology


Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)


Related Items (5)

Point processes of cylinders, particles and flats ⋮ Translative and Kinematic Integral Formulae for Curvature Measures ⋮ Estimating sizes of a convex body by successive diameters and widths ⋮ A uniqueness result for mean section bodies ⋮ Geometric inequalities for Poisson processes of convex bodies and cylinders



Cites Work

  • Projected thick sections through multi-dimensional particle aggregates
  • La formule de crofton pour les sections Épaisses
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