It is often important to estimate the number and size distribution of objects dispersed in a matrix from their images obtained by slices made through the matrix.

This book proposes new methods for objects which are approximately or perfectly spherical or with surfaces or sections which are approximately or perfectly circular and which are perpendicular to the slices.

The case of slices of thickness less than the smallest diameter is firstly considered. A new approach is proposed in the first chapter for the case of perfectly circular or spherical objects whose diameter distribution is symmetrical and normal. It is valid for both opaque objects in a transparent matrix and transparent objects in an opaque matrix and even with a detection limit of images. This new approach is then used for dealing with any distributions (second chapter) or only approximately circular shapes (third chapter). Then, it is involved for the case of slices thicker than the largest diameter (fourth chapter). Finally, it is indicated also when only section planes are observed (fifth chapter). 

All rights are reserved. The author authorizes the reproduction of this book from the following numerical files diameters-slices-book.pdf and diameters-slices-cover.pdf, except the reproduction of the complete book cover for commercial use which needs the permission of the author.

Click to load the file of this book : Diameters-slices-book.pdf

Click to load the file of the cover : Diameters-slices-bookcover.pdf

A version of this book (ISBN 978-2-9544261-0-5) is printed by The American Book Center, Amsterdam, Netherland (in paperback, with Figures 1.6 and 2.3 in greyscales). This book can be ordered on the website http://www.abc.nl for express printing, even in a single copy, by a print-on-demand process. The direct link is:

http://www.abc.nl/search/detailed.php?isbn=9782954426105&valuta=g