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Space, Structure and Randomness

Contributions in Honor of Georges Matheron in the Field of Geostatistics, Random Sets and Mathematical Morphology

  • Michel Bilodeau
  • Fernand Meyer
  • Michel Schmitt

Part of the Lecture Notes in Statistics book series (LNS, volume 183)

Table of contents

  1. Front Matter
    Pages I-XVII
  2. Geostatistics

    1. Front Matter
      Pages 3-3
    2. Danie Krige, Wynand Kleingeld
      Pages 5-16
    3. Jacques Rivoirard
      Pages 17-37
    4. Jean-Paul Chilès, Christian Lantuéjoul
      Pages 39-68
    5. Pierre Delfiner, André Haas
      Pages 89-104
    6. Roberto Bruno, Chantal de Fouquet
      Pages 105-131
  3. Random Sets

    1. Front Matter
      Pages 133-133
    2. I. Molchanov
      Pages 135-149
    3. Dietrich Stoyan, Klaus Mecke
      Pages 151-181
    4. Dominique Jeulin
      Pages 183-219
  4. Mathematical Morphology

    1. Front Matter
      Pages 221-221
    2. Junior Barrera, Gerald J. F. Banon, Edward R. Dougherty
      Pages 257-278
    3. Fernand Meyer
      Pages 315-347
    4. Frederic Guichard, Petros Maragos, Jean-Michel Morel
      Pages 369-390
  5. Back Matter
    Pages 391-395

About this book

Introduction

Space, structure, and randomness: these are the three key concepts underlying Georges Matheron’s scientific work. He first encountered them at the beginning of his career when working as a mining engineer, and then they resurfaced in fields ranging from meteorology to microscopy. What could these radically different types of applications possibly have in common? First, in each one only a single realisation of the phenomenon is available for study, but its features repeat themselves in space; second, the sampling pattern is rarely regular, and finally there are problems of change of scale.

This volume is divided in three sections on random sets, geostatistics and mathematical morphology. They reflect his professional interests and his search for underlying unity. Some readers may be surprised to find theoretical chapters mixed with applied ones. We have done this deliberately. GM always considered that the distinction between the theory and practice was purely academic.

When GM tackled practical problems, he used his skill as a physicist to extract the salient features and to select variables which could be measured meaningfully and whose values could be estimated from the available data. Then he used his outstanding ability as a mathematician to solve the problems neatly and efficiently. It was his capacity to combine a physicist’s intuition with a mathematician’s analytical skills that allowed him to produce new and innovative solutions to difficult problems.

The book should appeal to graduate students and researchers working in mathematics, probability, statistics, physics, spatial data analysis, and image analysis. In addition it will be of interest to those who enjoy discovering links between scientific disciplines that seem unrelated at first glance. In writing the book the contributors have tried to put GM’s ideas into perspective. During his working life, GM was a genuinely creative scientist. He developed innovative concepts whose usefulness goes far beyond the confines of the discipline for which they were originally designed. This is why his work remains as pertinent today as it was when it was first written.

 

 

 

 

 

 

 

Keywords

Mathematica algorithms data analysis differential equation image analysis mathematical morphology probability sets simulation statistics wavelets

Editors and affiliations

  • Michel Bilodeau
    • 1
  • Fernand Meyer
    • 1
  • Michel Schmitt
    • 2
  1. 1.Centre de Morphologie MathématiqueEcole des Mines de ParisFontainebleauFrance
  2. 2.Direction des recherchesEcole des Mines de ParisParis Cedex 06France

Bibliographic information

  • DOI https://doi.org/10.1007/0-387-29115-6
  • Copyright Information Springer Science+Business Media, Inc. 2005
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-20331-7
  • Online ISBN 978-0-387-29115-4
  • Series Print ISSN 0930-0325
  • Buy this book on publisher's site
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