Curves and Fractal Dimension

Written for mathematicians, engineers, and researchers in experimental science, as well as anyone interested in fractals, this book explains the geometrical and analytical properties of trajectories, aggregate contours, geographical ...

Curves and Fractal Dimension

Author: Claude Tricot

Publisher: Springer Science & Business Media

ISBN: 9780387940953

Page: 324

View: 982

Written for mathematicians, engineers, and researchers in experimental science, as well as anyone interested in fractals, this book explains the geometrical and analytical properties of trajectories, aggregate contours, geographical coastlines, profiles of rough surfaces, and other curves of finite and fractal length. The approach is by way of precise definitions from which properties are deduced and applications and computational methods are derived. Written without the traditional heavy symbolism of mathematics texts, this book requires two years of calculus while also containing material appropriate for graduate coursework in curve analysis and/or fractal dimension.

Related Books:

Curves and Fractal Dimension
Language: un
Pages: 324
Authors: Claude Tricot
Categories: Mathematics
Type: BOOK - Published: 1994-11-18 - Publisher: Springer Science & Business Media

Written for mathematicians, engineers, and researchers in experimental science, as well as anyone interested in fractals, this book explains the geometrical and analytical properties of trajectories, aggregate contours, geographical coastlines, profiles of rough surfaces, and other curves of finite and fractal length. The approach is by way of precise definitions
International Encyclopedia of Human Geography
Language: en
Pages: 7242
Authors: Claude Tricot
Categories: Social Science
Type: BOOK - Published: 2019-11-29 - Publisher: Elsevier

International Encyclopedia of Human Geography, Second Edition embraces diversity by design and captures the ways in which humans share places and view differences based on gender, race, nationality, location and other factors—in other words, the things that make people and places different. Questions of, for example, politics, economics, race relations
IFAS: A Program to Measure Fractal Dimensions of Curves and Surfaces
Language: un
Pages: 11
Authors: Mark C. Shelberg, Harold Moellering, DEFENSE MAPPING AGENCY AEROSPACE CENTER ST LOUIS AFS MO.
Categories: Cartography
Type: BOOK - Published: 1982 - Publisher:

The Interactive Fractal Analysis System (IFAS) allows the user to measure fractal dimensions of curves and surfaces. This is accomplished interactively through the use of virtual maps, character commands and responses, a graphic cursor, and an audible bell. With either a curve or surface, the user selects the most appropriate
Technical Report
Language: en
Pages:
Authors: Mark C. Shelberg, Harold Moellering, DEFENSE MAPPING AGENCY AEROSPACE CENTER ST LOUIS AFS MO.
Categories: Groundwater
Type: BOOK - Published: 1992 - Publisher:

Books about Technical Report
Measuring the Fractal Dimensions of Empirical Cartographic Curves
Language: un
Pages: 13
Authors: Mark C. Shelberg, Harold Moellering, Nina Lam, DEFENSE MAPPING AGENCY AEROSPACE CENTER ST LOUIS AFS MO.
Categories: Fractals
Type: BOOK - Published: 1982* - Publisher:

This paper discusses an algorithm, which simulates walking a pair of dividers along a curve, used to calculate the fractal dimensions of curves. It also discusses the choice of chord length and the number of solution steps used in computing fracticality. Results demonstrate the algorithm to be stable and that