Relationship between Fractal Dimension and Spectral Scaling Decay Rate in Computer-Generated Fractals

Relationship between Fractal Dimension and Spectral Scaling Decay Rate in Computer-Generated Fractals

Two measures are commonly used to describe scale-invariant complexity in images: fractal dimension (D) and power spectrum decay rate (β). Although a relationship between these measures has been derived mathematically, empirical validation across measurements is lacking. Here, we determine the relati...

Full description

Bibliographic Details
Main Authors: Alexander J. Bies, Cooper R. Boydston, Richard P. Taylor, Margaret E. Sereno
Format: Article
Language:English
Published: MDPI AG 2016-07-01
Series:Symmetry
Subjects:
fractal patterns
scale-invariance
fractal dimension
spectral scaling
midpoint displacement
Fourier noise
Fourier decomposition
Online Access:http://www.mdpi.com/2073-8994/8/7/66

Internet

http://www.mdpi.com/2073-8994/8/7/66

Similar Items