E Book

Space, Structure and Randomness

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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.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. .

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

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Penerbit

New York : Springer., 2005

Deskripsi Fisik

XVIII, 398 p. 121 illus.online resource.

Bahasa

English

ISBN/ISSN

9780387291154

Klasifikasi

519.5

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

1st ed. 2005.

Subjek

Optical data processing.
Image Processing and Computer Vision.
Statistics .
Signal processing.
Image processing.
Speech processing systems.
Signal, Image and Speech Processing.
Mathematical statistics.
Probability and Statistics in Computer Science.
Statistical Theory and Methods.
Environmental sciences.
Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
Math. Appl. in Environmental Science.

Info Detail Spesifik

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Pernyataan Tanggungjawab

Michel Bilodeau, Fernand Meyer, Michel Schmitt.

Versi lain/terkait

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