Tuning of Fuzzy Sharpening Filters for Biomedical Image Enhancement

  • Jaromir Kukal
  • Abduljalil Sireis
  • Zuzana Krbcova
Keywords: image smoothing, image sharpening, Lukasiewicz algebra, fuzzy image processing, filter bank, MRI, PET, SPECT

Abstract

Various approaches are used for image smoothing and sharpening. The class of fuzzy filters is widely used in the case of spiky noise due to their non–linear behavior. A lot of popular fuzzy filters are realizable in Lukasiewicz algebra with square root. Frequently applied low-pass fuzzy filters were selected from literature and used for the image sharpening with dyadic weights. The first aim of the paper is to find the optimum sharpening with the best Signal–to–Noise Ratio criterion for various noise types and offer general suggestions for fuzzy filter selection. Our results are directly applicable to tomographic images from MRI, PET and SPECT scanners.

References

Hajek, P.: Metamathematics of Fuzzy Logic. Kluwer, Dordrecht (1998)

Novak, V., Perfilieva, I., Mockor, J.: Mathematical Principles of Fuzzy Logic. Kluwer Academic Publishers, Boston (1999)

Gonzalez, R.C., Woods, R.E.: Digital Image Processing (3rd edition). Prentice Hall, New York (2008)

Azevedo, F.: Constraint Solving over Multi-Valued Logics: Application to Digital Circuits. IOS Press, New York (2003)

Majerova, D.: Image Processing by Means of Lukasiewicz Algebra with Square Root. PhD Thesis, ICT Prague (2004)

Wasserman, S., Faust, K.: Social Network Analysis: Methods and Applications (2nd edition). Cambridge University Press, New York (2006)

Arce, G.R.: Nonlinear Signal Processing: A Statistical Approach. Wiley, New Jersey (2005)

Arias-Castro, E., Donoho, D.L.: Does Median Filtering Truly Preserve Edges Better than Linear Filtering. Annals of Statistics 37(3), 1172-1196 (2009)

Hyndman, R.J., Fan, Y.: Sample Quantiles in Statistical Packages. American Statistician 50(4), 361-365 (1996)

Hall, M.: Smooth Operator: Smoothing Seismic Horizons and Attributes. The Leading Edge 26(1), 16-20 (2007)

Hodges, J.L., Lehmann, E.L.: Estimates of Location Based on Rank Tests. The Annals of Mathematical Statistics 34(2), 598-611 (1963)

Mitra, S.K., Kaiser, J.F.: Handbook for Digital Signal Processing. John Wiley, New York (1993)

Published
2018-06-01
How to Cite
[1]
KukalJ., SireisA. and KrbcovaZ. 2018. Tuning of Fuzzy Sharpening Filters for Biomedical Image Enhancement. MENDEL. 24, 1 (Jun. 2018), 121-128. DOI:https://doi.org/10.13164/mendel.2018.1.121.
Section
Articles