Wavelet-based 3-D multifractal spectrum with applications in breast MRI images

Gordana Derado, Kichun Lee, Orietta Nicolis, F. Dubois Bowman, Mary Newell, Fabrizio F. Rugger, Brani Vidakovic

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

11 Citations (Scopus)


Breast cancer is the second leading cause of death in women in the United States. Breast Magnetic Resonance Imaging (BMRI) is an emerging tool in breast cancer diagnostics and research, and it is becoming routine in clinical practice. Recently, the American Cancer Society (ACS) recommended that women at very high risk of developing breast cancer have annual BMRI exams, in addition to annual mammograms, to increase the likelihood of early detection. (Saslow et al. [20] ). Many medical images demonstrate a certain degree of self-similarity over a range of scales. The multifractal spectrum (MFS) summarizes possibly variable degrees of scaling in one dimensional signals and has been widely used in fractal analysis. In this work, we develop a generalization of MFS to three dimensions and use dynamics of the scaling as discriminatory descriptors for the classification of BMRI images to benign and malignant. Methodology we propose was tested using breast MRI images for four anonymous subjects (two cancer, and two cancer-free cases). The dataset consists of BMRI scans obtained on a 1.5T GE Signa MR (with VIBRANT) scanner at Emory University. We demonstrate that meaningful descriptors show potential for classifying inference.

Original languageEnglish
Title of host publicationBioinformatics Research and Applications - Fourth International Symposium, ISBRA 2008, Proceedings
Number of pages12
Publication statusPublished - 27 Aug 2008
Event4th International Symposium on Bioinformatics Research and Applications, ISBRA 2008 - Atlanta, GA, United States
Duration: 6 May 20089 May 2008

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4983 LNBI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference4th International Symposium on Bioinformatics Research and Applications, ISBRA 2008
Country/TerritoryUnited States
CityAtlanta, GA

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)


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