Wavelet-based Multifractal Formalism to Assist in Diagnosis in Digitized Mammograms


We apply the 2D wavelet transform (WTMM) method to perform a multifractal analysis of digitized mammograms. We show that normal regions display monofractal scaling properties as characterized by the socalled Hurst exponent H 0 3 0 1 in fatty areas which look like antipersistent self-similar random surfaces, while H 0 65 0 1 in dense areas which exibit long-range correlations and possibly multifractal scaling properties. We further demonstrate that the 2D WTMM method provides a very efficient way to detect tumors as well as microcalcifications (MC) which correspond to much stronger singularities than those involved in the background tissue roughness fluctuations. These preliminary results indicate that the texture discriminatory power of the 2D WTMM method may lead to significant improvement in computer-assisted diagnosis in digitized mammograms.

5 Figures and Tables


Citations per Year

60 Citations

Semantic Scholar estimates that this publication has 60 citations based on the available data.

See our FAQ for additional information.

Cite this paper

@inproceedings{Kestener2001WaveletbasedMF, title={Wavelet-based Multifractal Formalism to Assist in Diagnosis in Digitized Mammograms}, author={Pierre Kestener and Jean Marc Lina and PHILIPPE SAINT-JEAN and Alain Arneodo}, year={2001} }