6533b854fe1ef96bd12ae799

RESEARCH PRODUCT

The Local Fractional Derivative of Fractal Curves

Hicham BensoudaneChristian GentilMarc Neveu

subject

Computer Science::GraphicsIterated function systemFractalFractal derivativeGeneralizations of the derivativeMathematical analysisAstrophysics::Instrumentation and Methods for AstrophysicsDerivativeDifferentiable functionComputational geometryMathematicsFractional calculus

description

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.

yearjournalcountryeditionlanguage
2008-11-012008 IEEE International Conference on Signal Image Technology and Internet Based Systems
https://doi.org/10.1109/sitis.2008.37