Space, Structure and Randomness

This edited volume is split into three main sections of approximately equal importance: random sets, geostatistics and mathematical morphology.

Georges Matheron passed away on 7 August 2000. He did pioneering work in many branches of applied mathematics, being at the origin of geostatistics and mathematical morphology; he made also fundamental contributions to the theory of random models Scientists have been invited to write chapters on specific topics. Contributions highlight Georges Matheron's approach to solving problems, or illustrate the dynamic way that theories or methods that were initially developed by him have continued to be productive Includes supplementary material: sn.pub/extras

Inhalt
Geostatistics.- The genesis of geostatistics in gold and diamond industries.- Concepts and Methods of Geostatistics.- Prediction by conditional simulation: models and algorithms.- Flow in porous media: An attempt to outline Georges Matheron's contributions.- Over Thirty Years of Petroleum Geostatistics.- The expansion of environmental geostatistics.- Random Sets.- Random Closed Sets.- The Boolean Model: from Matheron till Today.- Random Structures in Physics.- Mathematical Morphology.- Mophological Operators for the Segmentation of Colour Images.- Automatic design of morphological operators.- Morphological Decomposition Systems with Perfect Reconstruction: From Pyramids to Wavelets.- Morphological segmentation revisited.- Ubiquity of the Distance Function in Mathematical Morphology.- Partial Differential Equations for Morphological Operators.