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The Local Fractional Derivative of Fractal Curves

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3 Author(s)
Hicham Bensoudane ; Lab. of Electron., Comput. Sci. & Image, Univ. of Burgundy, Dijon, France ; Christian Gentil ; Marc Neveu

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.

Published in:

Signal Image Technology and Internet Based Systems, 2008. SITIS '08. IEEE International Conference on

Date of Conference:

Nov. 30 2008-Dec. 3 2008