Fractals, Random Shapes and Point Fields: Methods of Geometrical StatisticsISBN: 978-0-471-93757-9
Hardcover
408 pages
October 1994
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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.
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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