Experimental determination of fractal dimension of the ordinary fractal patterns with optical fractional Fourier transform

2005 ◽  
Author(s):  
Shaotong Feng ◽  
Dianrong Han
Keyword(s):  
Fourier Transform ◽  
Fractal Dimension ◽  
Experimental Determination ◽  
Fractional Fourier Transform ◽  
Fractal Patterns

Application of Fractional Techniques in the Analysis of Forest Fires

2016 ◽  
Vol 17 (7-8) ◽  
pp. 381-390 ◽  
Author(s):  
António M. Lopes ◽  
J.A. Tenreiro Machado
Keyword(s):  
United States ◽  
Fourier Transform ◽  
Fractal Dimension ◽  
Dynamical Systems ◽  
Forest Fires ◽  
Clustering Analysis ◽  
Fractional Fourier Transform ◽  
Public Domain ◽  
Burn Severity ◽  
Global Behavior

Abstract:In this paper we study the global behavior of forest fires (FFs) in the Continental United States for the period 1984–2013. The data are obtained from a public domain catalog maintained by the Monitoring Trends in Burn Severity project. First we adopt clustering analysis to reduce the information dimensionality. Then we adopt mathematical tools commonly used in the analysis of dynamical systems, namely fractal dimension, entropy and fractional Fourier transform. The fractional techniques unveil FF patterns embedded in the data.

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