SUMMARY Spherical particles are embedded in an opaque matrix. Circular profiles with radii X 1,…, X n are then observed from a cross‐section. To estimate the distribution of the particle sizes a two‐stage method is proposed. The probability density of the profile radii is statistically estimated by a smooth, piecewise quartic polynomial, and then an inversion formula is used. The method has some advantages over existing techniques in that the estimate is continuous, is quite straightforward computationally and it involves a less subjective choice of statistical parameters. In the case of several types of distributions, the procedure performed well for simulated data.
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Charles Taylor (1983) studied this question.
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