Overview
- 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
Part of the book series: Lecture Notes in Statistics (LNS, volume 183)
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Table of contents (15 chapters)
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Front Matter
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Geostatistics
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Front Matter
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Random Sets
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Front Matter
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Mathematical Morphology
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Front Matter
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Back Matter
Keywords
About this book
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 innovativeconcepts 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.
Editors and Affiliations
Bibliographic Information
Book Title: Space, Structure and Randomness
Book Subtitle: Contributions in Honor of Georges Matheron in the Fields of Geostatistics, Random Sets and Mathematical Morphology
Editors: Michel Bilodeau, Fernand Meyer, Michel Schmitt
Series Title: Lecture Notes in Statistics
DOI: https://doi.org/10.1007/0-387-29115-6
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2005
Softcover ISBN: 978-0-387-20331-7Published: 12 August 2005
eBook ISBN: 978-0-387-29115-4Published: 23 December 2007
Series ISSN: 0930-0325
Series E-ISSN: 2197-7186
Edition Number: 1
Number of Pages: XVIII, 398
Number of Illustrations: 121 b/w illustrations
Topics: Statistical Theory and Methods, Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences, Probability and Statistics in Computer Science, Image Processing and Computer Vision, Signal, Image and Speech Processing, Math. Appl. in Environmental Science