Estimation of the size and orientation distribution of filamentary features from measurements on a two‐dimensional section | Zendy

Hilliard J. E. | Zendy; Anacker D. C. | Zendy

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Estimation of the size and orientation distribution of filamentary features from measurements on a two‐dimensional section

Author(s) -

Hilliard J. E.,

Anacker D. C.

Publication year - 1974

Publication title -

journal of microscopy

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.569

H-Index - 111

eISSN - 1365-2818

pISSN - 0022-2720

DOI - 10.1111/j.1365-2818.1974.tb03964.x

Subject(s) - radius , orientation (vector space) , cross section (physics) , curvature , radius of curvature , geometry , section (typography) , distribution (mathematics) , physics , optics , joint (building) , materials science , mathematics , mathematical analysis , mean curvature , architectural engineering , computer security , quantum mechanics , mean curvature flow , computer science , advertising , engineering , business

SUMMARY A procedure is described for determining the joint distribution L v ( r , ø, θ) of the radii ( r ) and orientation (ø, θ) of a filamentary structure from measurements on a single section. For tubular filaments it is also possible to determine the wall‐thickness distribution. The following assumptions are made: (1) that the filaments have a circular cross‐section; (2) that the length and radius of curvature of the filaments are large compared with their radii. The analysis is also applicable to transmitted images if the thickness of the slice is small compared with the average radius of the filaments.

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