Skip to main content

Fuzzy Techniques in Mammographic Image Processing

  • Chapter

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 52))

Summary

In this chapter we discuss fuzzy techniques for the detection and analysis of potential breast cancer lesions on mammograms. We show how fuzzy measurements can be performed on the images and how this information can be used in the different stages of the processing.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aylward S.R., Hemminger B.M. and Pisano E.D., Mixture Modeling for Digital Mammogram Display and Analysis, in: “Digital Mammography (Karssemeijer N., Thijssen M., Hendriks J. and van Erning L., eds.)”, Kluwer Academic Publishers, Nijmegen, pp. 305–312, 1998

    Google Scholar 

  2. Bothorel S., “Analyse d’image par arbre de décision floue - Application à la classification sémiologique des amas de microcalcifications en mammographie numérique”,Thèse de l’université Paris 6, 1996

    Google Scholar 

  3. Bothorel S., Bouchon B. and Muller S., A Fuzzy Logic-based Approach for Semiological Analysis of Microcalcification in Mammographie Images, International Journal of Intelligent Systems, Vol. 12, pp. 819–843, 1997

    Article  Google Scholar 

  4. Bouchon-Meunier B., Rifqi M. and Bothorel S., Towards general measures of comparison of objects, Fuzzy Sets and Systems, Vol. 84, No. 2, pp. 143–153, 1996

    MathSciNet  MATH  Google Scholar 

  5. Bouchon-Meunier B. and Valverde L., Analogy relations and inference,in: “Proceedings of FUZZ-IEEE’93 - IEEE International Conference on Fuzzy Systems” (San Fransisco), pp. 1140–1144, 1993

    Google Scholar 

  6. Bouchon-Meunier B., Fuzzy similitude and approximate reasoning,in: “Advances in Fuzzy Theory and Technology (P.P. Wang, ed.)”, Bookwrights Press, pp. 161–166, 1993

    Google Scholar 

  7. De Luca A. and Termini S., A definition of a non-probability entropy in the setting of fuzzy sets theory,Information and Control, Vol. 20, pp. 301–312, 1972

    Google Scholar 

  8. Demster M., Laird N.M. and Jain D.B., Maximum likelihood for incomplete data via the EM algorithm, J. Royal Statistics Society, Series B, Vol. 39, pp 1–38, 1977

    Google Scholar 

  9. Dhawan A.P., Chitre Y., Kaiser-Bonasso C. and Moskowitz M., Analysis of mammographie Microcalcifications Using Gray-Level Image Structure Features, IEEE Transactions on Medical Imaging, Vol. 15, No. 3, pp. 246–259, 1996

    Article  Google Scholar 

  10. Dubois D. and Prade H., “Fuzzy Sets and Systems, Theory and Applications”, Academic Press, New York, 1980

    MATH  Google Scholar 

  11. Erna T., Doi K., Nichikawa R.M., Jiang Y. and Papaioannou J., Image feature analysis and computer-aided diagnosis in mammography: Reduction of false-positive clustered microcalcifications using local-gradient analysis, Medical Physics, Vol. 22, No. 2, pp. 161–169, 1995

    Article  Google Scholar 

  12. Grimaud M., “La géodesie numérique en morphologie mathématique - Application a la détéction automatique de microcalcifications en mammographie numérique”,Thèse de doctorat à l’Ecole Nationale Supérieure des Mines de Paris, 1991

    Google Scholar 

  13. Gupta R. and Undrill P.E., The use of texture analysis to delineate suspicious masses in mammography, Phys. Med. Biol., Vol. 40, pp. 835–855, 1995

    Article  Google Scholar 

  14. Highnam R., Brady M. and Shepstone B., A representation for mammographic image processing, Medical Image Analysis, Vol. 1, No. 1, pp. 1–18, 1996

    Article  Google Scholar 

  15. Karssmeijer N. and te Brake G.M., Detection of Stellate Distortions in Mammograms,IEEE Transactions on Medical Imaging, Vol. 15, No. 5, pp. 611–619, 1996

    Google Scholar 

  16. Karssemeijer N., Thijssen M., Hendriks J. and van Erning L., “Digital Mammography”, Kluwer Academic Publishers, Nijmegen, 1998

    Book  MATH  Google Scholar 

  17. Lanyi M., “Diagnosis and Differential Diagnosis of Breast Calcifications”, Springer Verlag, 1986

    Google Scholar 

  18. Marsala C., “Apprentissage inductif en présence de données imprécises: construction et utilisation d’abres de décision flous”,Thèse de l’informatique, Université Paris 6, 1998

    Google Scholar 

  19. Ovchinnikov S.V., Representations of transitive fuzzy relations,in: “Aspects of Vagueness (Skala H.J., Termini S. and Trillas E., eds.)”, D. Reidel Publishing Company, pp. 105–118, 1984

    Google Scholar 

  20. Quinlan, Induction of decision trees,Machine Learning, Vol. 1 No. 1, pp. 86106, 1986

    Google Scholar 

  21. Rifqi M., “Mesures de comparaison, typicalité et classification d’objets flous: théorie et pratique”,Thèse de doctorat de l’informatique, Université Paris 6, 1996

    Google Scholar 

  22. Rifqi M., Bothorel S., Bouchon-Meunier B. and Muller S., Similarity and prototype based approach for classification of microcalcifications, in: “Proceedings of the 7th IFSA World Congress” (Prague), pp. 123–128, 1997

    Google Scholar 

  23. Rosch E., “Principles of categorization, Cognition and categorization”, Hillsdale, N. J.: Laurence Erlbaum Associates, 1978

    Google Scholar 

  24. Rosch E. and Mervis C.B., Family resemblances: Studies in the internal structure of categories, Cognitive Psychology, Vol. 7, pp. 573–605, 1975

    Article  Google Scholar 

  25. Sanchez E., Inverses of fuzzy relations–Applications to possibility distributions and medical diagnosis, Fuzzy Sets and Systems, Vol. 2, pp. 75–86, 1979

    Article  MathSciNet  MATH  Google Scholar 

  26. Shiina K., A fuzzy-set-theoretic feature model and its application to asymmetric data analysis, Japanese psychological research, Vol. 30, pp. 95–104, 1988

    Google Scholar 

  27. Trillas E. and Valverde L., On implication and indistinguishability in the setting of fuzzy logic, in: “Management Decision Support Systems Using Fuzzy Sets and Possibility Theory (Kacprzyk J. and Yager R.R., eds.)”, Verlag TUV, Rheinland, 1984

    Google Scholar 

  28. Tversky A., Features of similarity,Psychological Review, Vol. 84, pp. 327–352, 1977

    Google Scholar 

  29. Valverde L., On the structure of t-indistinguishability operators, Fuzzy Sets and Systems, Vol. 17, pp. 313–328, 1985

    Article  MathSciNet  MATH  Google Scholar 

  30. Zadeh L.A., A note on prototype theory and fuzzy sets,Cognition, Vol. 12, pp. 291–297, 1982

    Google Scholar 

  31. Zhuang X., Huang Y., Palaniappan K. and Zhao Y., Gaussian Mixture Density Modeling, Decomposition, and Applications, IEEE Transactions on Image Processing, Vol. 5, No. 9, pp. 1293–1302, 1996

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Rick, A., Bothorel, S., Bouchon-Meunier, B., Muller, S., Rifqi, M. (2000). Fuzzy Techniques in Mammographic Image Processing. In: Kerre, E.E., Nachtegael, M. (eds) Fuzzy Techniques in Image Processing. Studies in Fuzziness and Soft Computing, vol 52. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1847-5_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-7908-1847-5_12

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-2475-9

  • Online ISBN: 978-3-7908-1847-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics