Fractals, Random Shapes and Point Fields: Methods of Geometrical Statistics / Edition 1

Fractals, Random Shapes and Point Fields: Methods of Geometrical Statistics / Edition 1

by Dietrich Stoyan, Helga Stoyan
     
 

ISBN-10: 0471937576

ISBN-13: 9780471937579

Pub. Date: 10/28/1994

Publisher: Wiley

In Part I the reader is introduced to the methods of measuring the fractal dimension of irregular geometric structures. Part II demonstrates important modern methods for the statistical analysis of random shapes. The statistical theory of point fields, with and without marks, is introduced in Part III. Each of the three sections concentrates on the mathematical

Overview

In Part I the reader is introduced to the methods of measuring the fractal dimension of irregular geometric structures. Part II demonstrates important modern methods for the statistical analysis of random shapes. The statistical theory of point fields, with and without marks, is introduced in Part III. Each of the three sections concentrates on the mathematical ideas, rather than detailed proofs, and can be read independently.

Product Details

ISBN-13:
9780471937579
Publisher:
Wiley
Publication date:
10/28/1994
Series:
Wiley Series in Probability and Statistics Series
Pages:
406
Product dimensions:
6.40(w) x 9.63(h) x 1.14(d)

Table of Contents

FRACTALS AND METHODS FOR THE DETERMINATION OF FRACTAL DIMENSIONS.

Hausdorff Measure and Dimension.

Deterministic Fractals.

Random Fractals.

Methods for the Empirical Determination of Fractal Dimension.

THE STATISTICS OF SHAPES AND FORMS.

Fundamental Concepts.

Representation of Contours.

Set Theoretic Analysis.

Point Description of Figures.

Examples.

POINT FIELD STATISTICS.

Fundamentals.

Finite Point Fields.

Poisson Point Fields.

Fundamentals of the Theory of Point Fields.

Statistics for Homogeneous Point Fields.

Point Field Models.

Appendices.

References.

Index.

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