Fractal geometry and multifractals in analyzing and processing medical data and images

Abstract

A traditional way for describing objects, based on the well-known Euclidean geometry, is not capable to describe different natural objects and phenomena such as clouds, relief shapes, trends in economy, etc. On the contrary fractal geometry and its extension multifractals are new "tools" which can be used for describing, modeling, analyzing and processing different complex shapes and signals. This paper considers fractal geometry and multifractals and their application in signal analyzing and processing particularly in medical signal analysis.

Keywords

• Fractals
• fractal dimension
• multifractals
• signal and image processing