Fractals, Random Shapes and Point Fields
Methods of Geometrical Statistics
1st Edition
Published on 16. August 1994
Book
Hardback
408 pages
978-0-471-93757-9 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
New York
United States
Target group
College/higher education
Professional and scholarly
Product notice
sewn/stitched
Cloth over boards
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 29 mm
Weight
819 gr
ISBN-13
978-0-471-93757-9 (9780471937579)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Dietrich Stoyan, Professor a the Insitut fur Stochastik, University of Freiberg, Germany.
Content
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.