DocumentCode
2026716
Title
The Local Fractional Derivative of Fractal Curves
Author
Bensoudane, Hicham ; Gentil, Christian ; Neveu, Marc
Author_Institution
Lab. of Electron., Comput. Sci. & Image, Univ. of Burgundy, Dijon, France
fYear
2008
fDate
Nov. 30 2008-Dec. 3 2008
Firstpage
422
Lastpage
429
Abstract
Fractal curves described by iterated function system (IFS) are generally non-integer derivative. For that we use fractional derivative to investigate differentiability of this curves. We propose a method to calculate local fractional derivative of a curve from IFS property. Also we give some examples of IFS representing the slopes of the right and left half-tangent of the fractal curves.
Keywords
computational geometry; fractals; fractal curves; iterated function system; local fractional derivative; Biological system modeling; Chaos; Computer science; Fractals; Fractional calculus; Internet; Interpolation; Laboratories; Shape control; Solid modeling;
fLanguage
English
Publisher
ieee
Conference_Titel
Signal Image Technology and Internet Based Systems, 2008. SITIS '08. IEEE International Conference on
Conference_Location
Bali
Print_ISBN
978-0-7695-3493-0
Type
conf
DOI
10.1109/SITIS.2008.37
Filename
4725836
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