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

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Dietrich Stoyan (Freiberg University of Mining and Technology, (TU Bergakademie Freiberg), Germany) Helga Stoyan (Freiberg University of Mining and Technology, (TU Bergakademie Freiberg), Germany)

Fractals, Random Shapes and Point Fields

Methods of Geometrical Statistics

Dietrich Stoyan (Freiberg University of Mining and Technology, (TU Bergakademie Freiberg), Germany), Helga Stoyan (Freiberg University of Mining and Technology, (TU Bergakademie Freiberg), Germany)

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English

John Wiley & Sons Inc
16 August 1994

Fractal geometry; Topology

Series: Wiley Series in Probability and Statistics

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.

By: Dietrich Stoyan (Freiberg University of Mining and Technology (TU Bergakademie Freiberg) Germany), Helga Stoyan (Freiberg University of Mining and Technology, (TU Bergakademie Freiberg), Germany)
Imprint: John Wiley & Sons Inc
Country of Publication: United States
Dimensions: Height: 245mm, Width: 163mm, Spine: 29mm
Weight: 737g
ISBN: 9780471937579
ISBN 10: 0471937576
Series: Wiley Series in Probability and Statistics
Pages: 408
Publication Date: 16 August 1994
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Hardback
Publisher's Status: Active

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.

Dietrich Stoyan, Professor a the Insitut fur Stochastik, University of Freiberg, Germany.