**Editor D. Jeulin - World Scientific**

**1997**

Twenty years after the publication of the book ''Random Sets and Integral Geometry'' written by Professor Georges Matheron, an international symposium was organized to focus on the Advances in the Theory and Applications of Random Sets (Fontainebleau, France, 9-11 October 1996).

This volume contains the invited lectures given by leading scientists in this field. It shows the applications of the theory of random sets to many practical domains: models issued from this theory, by means of image simulation and analysis by computer, are applied in various fields such as biology or materials. On a different scale, they are used to simulate mineral ore deposits, oil reservoirs, or even astronomical data. Finally they provide sources of textures to encode or to generate artificial images.

It is of interest to mathematicians, engineers and scientists who need to relate the physical behavior and the texture of heterogeneous media and also to users of image analysis and synthesis for its applications (materials, biology, artificial vision, CAD, teledetection, geophysics, biometry and image coding etc.)

**CONTENTS **

**Foreword p.V**

*PART I. *

*GENERAL PROPERTIES OF RANDOM SETS *

*On the Expected Measure of a Random Set *

__A. J. Baddeley__
& I.S. Molchanov p.3

*W. Weil p.21 *

*I. Molchanov p.35 *

*K. Sivakumar and J . Goutsias p.49 *

*J. Serra p.67 *

*MODELS OF RANDOM TESSELLATIONS AND OF RANDOM SETS *

*Models of Random Sets and Figures *

*D. Stoyan p.87 *

*W.S. Kendall p.105 *

*M.N.M. van Lieshout p.121 *

*D. Jeulin p.137 *

__M. Schlather__ & D. Stoyan p.157

*D. J. Nott & R.J. Wilson p.175 *

__H. Hermann__, J. Collazo, F. Fugaciu, P. Uebele p.195

*STATISTICS OF RANDOM SETS *

*Recursive Decomposition in Discrete Coverage Processes
*

*Ed. R. Dougherty & J.C. Handley p.215 *

*J. L. Quenec'h, D. Jeulin, M. Coster , J.L. Chermant p.231
*

*M. Schmitt p.251 *

*SIMULATIONS *

*Conditional Simulation of Object-Based Models *

*Ch. Lantuéjoul p.271 *

*Carlo Gaetan & X. Guyon p.289 *

*Subject Index p.323 *

*List of Participants p.325 *

Mon Nov 4 14:35:58 WET 1996