Fractals, Random Shapes and Point Fields

Methods of Geometrical Statistics

AvDietrich Stoyan,Helga Stoyan

Inbunden, Engelska, 1994

Del i serien Wiley Series in Probability and Statistics

3 154 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:1994-08-16
Mått:163 x 245 x 29 mm
Vikt:737 g
Format:Inbunden
Språk:Engelska
Serie:Wiley Series in Probability and Statistics
Antal sidor:416
Förlag:John Wiley & Sons Inc
ISBN:9780471937579

Utforska kategorier

Topologi inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik

Mer om författaren

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

Innehållsförteckning

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.

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