Acta Stereologica



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Robert T. DeHoff

Signed line intercept count

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Elements of surfaces that bound a phase (β) in a two phase mixture (α+β) may be classified as:

a. convex (++) if both principle curvatures are positive;

b. concave (--) if both are negative; and

c. saddle (+-) if one is positive and the other negative.

The traces of these surfaces that form the boundaries of the areas on a representative two dimensional section may also be:

a. convex (+) if the local curvature is positive; or

b. concave (-) if it is negative.

Line intercept counts may be tabulated separately for sections with convex (PL+) and concave (PL-) segments of boundary. This paper presents a derivation of fundamental stereological formulae that relate these counting measurements to three dimensional geometric properties of the structure they sample.

To cite this article

Robert T. DeHoff, «Signed line intercept count», Acta Stereologica [En ligne], Volume 3 (1984), Number 1 - May 1984, 23-26 URL :

About: Robert T. DeHoff

Department of Materials Science and Engineering University of Florida, Gainesville, FL 32611, USA