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

Table 6

Comparison between the radial and profile dimensions.

Fractal dimension	Description object	Related process	Geometrical meaning
Radial dimension (𝐷𝑓)	Self-similar form	Macro pattern, growth, form, action of core on periphery, and spatial correlation of density series	Extent of spatial uniformity, space filling extent, and spatial correlation at wave layer
Profile dimension (𝐷𝑠)	Self-affine track	Micro change, aggregation, dynamics, influence of the previous changes on the following changes, and spatial autocorrelation of increment series	Irregularity of spatial pattern, vestige of spatial motion, and autocorrelation at particle layer