Estimation for particle size distribution in materials (1st report, spheroidal particles with cutting method)

In this paper, a new estimation method is proposed for a size distribution of particles in materials. Especially in this first paper, a configuration of particle is supposed as spheroidal and all observed informations are obtained from cutting planes. These apparent size distribution from the 2-D is corrected to the true size distribution of the 3-D and the expected size distribution can be estimated from a small size to an extreme size. This size distribution is the most versatile method involved with Saltycov's method and extreme statistics. This method can be useful in the whole region of particle size. The method is applied to artificial materials with a given particle in computer, the estimated results are compared with the given distributions, and the validity is confirmed.