Exploring the Fractal Parameters of Urban Growth and Form with   Wave-Spectrum Analysis

doi:10.1155/2010/974917

CORC > 北京大学 > 地球与空间科学学院

	Exploring the Fractal Parameters of Urban Growth and Form with Wave-Spectrum Analysis
	Chen, Yanguang
刊名	discrete dynamics in nature and society
	2010
关键词	SELF-ORGANIZED CRITICALITY CELLULAR-AUTOMATA DYNAMICS DIMENSION MORPHOLOGY BRUSSELS DENSITY SYSTEMS SHAPE SIZE
DOI	10.1155/2010/974917
英文摘要	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-structuremodel named particle-ripple model (PRM) is proposed to explain the connections and differences between the macro and micro levels of urban form.; Mathematics, Interdisciplinary Applications; Multidisciplinary Sciences; SCI(E); SSCI; 7; ARTICLE
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/322369]
专题	地球与空间科学学院
推荐引用方式 GB/T 7714	Chen, Yanguang. Exploring the Fractal Parameters of Urban Growth and Form with Wave-Spectrum Analysis[J]. discrete dynamics in nature and society,2010.
APA	Chen, Yanguang.(2010).Exploring the Fractal Parameters of Urban Growth and Form with Wave-Spectrum Analysis.discrete dynamics in nature and society.
MLA	Chen, Yanguang."Exploring the Fractal Parameters of Urban Growth and Form with Wave-Spectrum Analysis".discrete dynamics in nature and society (2010).