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.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Maße
Höhe: 235 mm
Breite: 157 mm
Dicke: 29 mm
Gewicht
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 Klassifikation
Dietrich Stoyan, Professor a the Insitut fur Stochastik, University of Freiberg, Germany.
Autor*in
Freiberg University of Mining and Technology, (TU Bergakademie Freiberg), Germany
Freiberg University of Mining and Technology, (TU Bergakademie 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.
