11. Convex body strings
In this section, a chord is defined as an infinitesimal linear intercept of an isolated convex body (the intercept is thus connected).
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11.1.1 Crofton formula
Theorem (Crofton's formula for average string length, 1869). For a two-dimensional convex body isolated in the Euclidean plane
, the average...
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Convex body strings
Bibliography
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(1) - BAAK (J.P.A.), OORT (J.), BOUW (G.M.), STOLTE (L.A.M.) -
Quantitative morphology : methods and materials I. Stereology and morphometry.
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European Journal of Obstetrics & Gynecology and Reproductive Biology, Vol. 7, N° 1, pp. 43-52 (1977).
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(2)...
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