Wavelet leaders and bootstrap for multifractal analysis of images
Signal Processing
Scaling, Fractals and Wavelets
Scaling, Fractals and Wavelets
Unsupervised segmentation of ultrasonic liver images by multiresolution fractal feature vector
Information Sciences: an International Journal
Local fuzzy fractal dimension and its application in medical image processing
Artificial Intelligence in Medicine
International Journal of Speech Technology
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During the past decade, new tools stemming from fractal geometry and wavelet analysis are meeting with great success in signal image processing. This paper will focus on these two topics: Wavelets and Multifractal. Both themes evolved towards self contained theories, and yet, a host of reasons justify for coupling them in same applications. It is well known that both analyses share the same conceptual backbone of "scale": it is the "mathematical zoom" commonly associated to wavelet analysis and it is the "scaling laws" that underlie multifractal structures. Very naturally then, wavelets stood as a privileged tool for analyzing and characterizing multifractal signals and images. Hence, the purpose of this paper is to illuminate some of the issue involved in taking advantage of the current advances in wavelets and multifractals analysis. We discuss continuous, discrete, orthogonal wavelets and present applications to fracture processes and medical ultrasound imaging.