Fractals, Random Shapes and Point Fields
Methods of Geometrical Statistics
Seiten
1994
John Wiley & Sons Inc (Verlag)
978-0-471-93757-9 (ISBN)
John Wiley & Sons Inc (Verlag)
978-0-471-93757-9 (ISBN)
An exposition of fractals, shape and form, and point processes, which analyzes the current theoretical information. The organization of the text is such that each part can be read independently. Many case studies and true examples are used to illustrate the text.
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.
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.
Dietrich Stoyan, Professor a the Insitut fur Stochastik, University of Freiberg, Germany.
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.
| Erscheint lt. Verlag | 16.8.1994 |
|---|---|
| Reihe/Serie | Wiley Series in Probability and Statistics |
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 163 x 245 mm |
| Gewicht | 737 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 0-471-93757-6 / 0471937576 |
| ISBN-13 | 978-0-471-93757-9 / 9780471937579 |
| Zustand | Neuware |
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