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Fractals, Random Shapes and Point Fields : Methods of Geometrical Statistics - Dietrich Stoyan

Fractals, Random Shapes and Point Fields

Methods of Geometrical Statistics

Hardcover Published: 27th September 1994
ISBN: 9780471937579
Number Of Pages: 406

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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.

FRACTALS AND METHODS FOR THE DETERMINATION OF FRACTALDIMENSIONS.

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.

ISBN: 9780471937579
ISBN-10: 0471937576
Series: Wiley Series in Probability and Statistics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 406
Published: 27th September 1994
Country of Publication: GB
Dimensions (cm): 23.6 x 15.8  x 2.9
Weight (kg): 0.78
Edition Number: 1

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