Exploring the Fractal Parameters of Urban Growth and Form with Wave-Spectrum Analysis
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-09
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
The Fourier transform and spectral analysis are employed to estimate the fractal dimension and explore the fractal parameter relations of urban growth and form using mathematical experiments and empirical analyses.
Based on the models of urban density, two kinds of fractal dimensions of urban form can be evaluated with the scaling relations between the wave number and the spectral density.
One is the radial dimension of self-similar distribution indicating the macro-urban patterns, and the other, the profile dimension of self-affine tracks indicating the micro-urban evolution.
If a city's growth follows the power law, the summation of the two dimension values may be a constant under certain condition.
The estimated results of the radial dimension suggest a new fractal dimension, which can be termed “image dimension”.
A dual-structure model named particle-ripple model (PRM) is proposed to explain the connections and differences between the macro and micro levels of urban form.
American Psychological Association (APA)
Chen, Yanguang. 2010. Exploring the Fractal Parameters of Urban Growth and Form with Wave-Spectrum Analysis. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-20.
https://search.emarefa.net/detail/BIM-512804
Modern Language Association (MLA)
Chen, Yanguang. Exploring the Fractal Parameters of Urban Growth and Form with Wave-Spectrum Analysis. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-20.
https://search.emarefa.net/detail/BIM-512804
American Medical Association (AMA)
Chen, Yanguang. Exploring the Fractal Parameters of Urban Growth and Form with Wave-Spectrum Analysis. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-20.
https://search.emarefa.net/detail/BIM-512804
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512804