3 results for “Chord Length Distribution”

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Research ArticleOpen accessPhrase in the titleAnalysis of the Chord Length Distribution Along an Edge: The Wedge Case and the Quadratic Rod CaseWilfried GilleThe analytic expression is given for the chord length distribution density f(l,b) along the edge of an infinitely long rectangular wedge and for a quadratic rod, both of constant breadth b. The general result is: A constant behaviour for 0 < l < b and a finite jump of size 2/b at l = b is an intrinsic feature of … …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 6,208 accessesView PDF Cite

Research ArticleOpen accessPhrase in the titleChord Length Distributions of the HemisphereWilfried GilleThe distribution laws for two types of isotropic uniform random chords of the hemisphere, cap-chords and basic-chords, are investigated separately. From both distribution densities, the chord length distribution density of the whole hemisphere is derived. …Journal of Mathematics and Statistics, Vol. 1, Issue 1 · 31 Mar 2005 · 6,361 accessesView PDF Cite

Research ArticleOpen accessIn the abstractHemisphere Sizing from Linear Intercept MeasurementWilfried GilleThe stereological problem of unfolding the hemisphere radius distribution from the chord length distribution is analyzed. Let a stationary isotropic process of hemispheres be given. The hemispheres have random diameters and are isotropically uniformly randomly orientated in space. A straight line probe yields a process of intercepts. The inverse problem of re-obtaining the size distribution of the hemispheres in terms … …Journal of Mathematics and Statistics, Vol. 1, Issue 3 · 30 Sep 2005 · 6,146 accessesView PDF Cite