Sieve analysis can be used to determine the size and shape distribution of a sediment sample by combining measurements made with a suite of sieves with openings of different sizes and shapes. This is a tomographic process that relies on the fact that different sieves discriminate grains with different, but overlapping, combinations of size and shape. We discuss the solution of this problem in both ideal and practical cases. If the grains are assumed to be approximately triaxial ellipsoids, then about 70 sieves are needed to determine the distribution of shapes over a size range of about a factor of ten.

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