Abstract
This article describes some aspects of fuzzy methodology and their possible application in the medical community. Fuzzy methods can be arranged according to the hierarchy of medical image processing procedures to allow a convenient comparison with competitive crisp methods. Several examples are explained derived from all the three levels of image processing. Histogram evaluation using fuzzy expective value is a possible application of low level image processing. Structure and function of linguistic variables as aspects of an intermediate level are explained in some detail because of their peculiar ability to cope with uncertainties. A major problem in high level medical image processing is dealt with, when anatomic atlases are superimposed on the highly variable human brain. Finally, a method of comparing distinctive features of anatomical structure is presented.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Berks G., Keyserlingk D. G. v. (1998) Segmentation and Knowledge Presentation in Medical Image Processing using Fuzzy Sets. In: Proc. EUFIT ‘88, Aachen, pp. 1832–1836.
Berks G., Keyserlingk D. G. v. (1999a) The Use Of Fuzzy Sets For Brain Description. In: Proc..EUFIT ‘89, Aachen, in press.
Berks G., Keyserlingk D. G. v. (1999b) Means and Requirements for a Roadmap to Promote Fuzzy Technology in Medical Image Processing. In: Proc. ESIT ‘89, ELITE Foundation, Aachen, in press.
Bezdek J.C. (1981) Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press, New York.
Bezdek J.C., Hall L.O., Clark M., Goldgof D., Clarke L.P. (1997a) Medical Image Analysis with Fuzzy Models. Stat. Methods Med. Res. 6: 191–214.
Bezdek J.C., Hall L.O., Clark M., Goldgof D., Clarke L.P. (1997b) Segmenting Medical Images with Fuzzy Models: An Update. In: Dubois D., Prade H., Yager R.R. (Eds.) Fuzzy Information Engineering. John Wiley & Sons,. New York, pp. 69–92.
Bezdek J.C., Hall L.O., Clarke L.P. (1993) Review of MR image segmentation techniques. using pattern recognition. Med. Phys. 20: 1033–1048.
Brodmann K. (1909) Vergleichende Lokalisationslehre der Großhirnrinde. Barth, Leipzig.
Bronshtein I.N., Semendyayev K.A. (1979) Handbook of Mathematics. Springer-Verlag, Berlin.
Dubois D., Prade H. (1980) Fuzzy Sets and Systems: Theory and Applications. Acad. Press, San Diego - New York.
Economo C.v., Koskinas G.N. (1925) Die Cytoarchitektonik der Großhirnrinde des erwachsenen Menschen. Springer-Verlag, Wien.
Hall E.L. (1979) Computer Image Processing and Reconstruction. Acad. Press, San Diego - New York.
Jähne B. (1997) Digitale Bildverarbeitung. 4th Ed., Springer-Verlag, Berlin.
Kandel A. (1981) Fuzzy expectation and energy states in fuzzy media. Fuzzy Sets and Systems 6: 145–160.
Keyserlingk A. G. v., Pohl G. (1997) Use of Fuzzy sets in Initial Medical Image processing. In: Proc. EUFIT ‘87, Aachen, pp. 2350–2354.
Keyserlingk D. G. v., Niemann K., Wasel J. (1988) A quantitative approach to spatial variation of human cerebral sulci. Acta Anat. 131: 127–131.
Kruse R., Gebhardt J., Klawonn F. (1995) Fuzzy Systeme. Teubner, Stuttgart.
Mamdani E.H. (1977) Application of fuzzy logic to approximate reasoning. IEEE Trans. Comput. 26: 1182–1191.
Pratt K.W. (1978) Digital Image Processing. Wiley-Interscience Publications, John Wiley & Sons, New York.
Rosenfeld A., Kak A.C. (1982) Digital Picture Processing. 2nd Ed., Acad. Press, San Diego - New York.
Tizhoosh H.R. (1998) Fuzzy-Bildverarbeitung. Springer-Verlag, Berlin.
Zadeh L. A. (1973) The concept of a linguistic variable and its application to approximate reasoning. Memorandum ERL-M 411, Berkeley/CA, USA.
Zimmermann H.-J. (1996) Fuzzy Set Theory. 3rd Ed., Kluwer Acad. Publ., Boston/MA, USA.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Berks, G., v. Keyserlingk, D.G. (2000). Fuzzy Sets in Medical Image Processing. In: Szczepaniak, P.S., Lisboa, P.J.G., Kacprzyk, J. (eds) Fuzzy Systems in Medicine. Studies in Fuzziness and Soft Computing, vol 41. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1859-8_13
Download citation
DOI: https://doi.org/10.1007/978-3-7908-1859-8_13
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-662-00395-4
Online ISBN: 978-3-7908-1859-8
eBook Packages: Springer Book Archive