Dietrich Stoyan, Helga Stoyan

Fractals, Random Shapes and Point Fields

Methods of Geometrical Statistics

• Gebundenes Buch

Produktbeschreibung

There has been an increasing interest in the statistical analysis of geometric objects and structures in many branches of science and engineering in recent years. The aim of this book is to present these statistical methods for practical use by non-mathematicians by outlining the mathematical ideas rather than concentrating on detailed proofs. The clarity of exposition ensures that the book will be a valuable resource for researchers and practitioners in many scientific disciplines who wish to use these methods in their work. In particular, the book is suited to materials scientists, geologists, environmental scientists, and biologists.

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Produktdetails

• Verlag: Wiley
• Seitenzahl: 408
• Erscheinungstermin: 20. Oktober 1994
• Englisch
• Abmessung: 235mm x 157mm x 29mm
• Gewicht: 819g
• ISBN-13: 9780471937579
• ISBN-10: 0471937576
• Artikelnr.: 21256643

Autorenporträt

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

Inhaltsangabe

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.