Object Extraction in Gray-Scale Images by Optimizing Roughness Measure of a Fuzzy Set

  • D. V. Janardhan Rao
  • Mohua Banerjee
  • Pabitra Mitra
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3776)


Object extraction from gray-tone images involve handling of inherent uncertainties in an image. Traditionally fuzzy set theoretic techniques are used for this purpose. However, roughness and limited discernibility of objects is another important aspect of image uncertainty. In this article we propose an algorithm for selection of intensity threshold for object extraction by optimizing a roughness measure of the fuzzy set corresponding to the image object. The rough-fuzzy algorithm is tested on some benchmark images.


Approximation Space Roughness Measure Fuzzy Entropy Object Extraction Constant Bandwidth 
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  1. 1.
    Pawlak, Z.: Rough sets: Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht (1991)Google Scholar
  2. 2.
    Banerjee, M., Pal, S.K.: Roughness of a fuzzy set. Information Sciences 17, 235–246 (1996)CrossRefMathSciNetGoogle Scholar
  3. 3.
    Dubois, D., Prade, H.: Rough fuzzy sets and fuzzy rough sets. Int. J. General Syst. 17, 191–298 (1990)zbMATHCrossRefGoogle Scholar
  4. 4.
    Pal, N.R., Pal, S.K.: A review on image segmentation techniques. Pattern Recognition 26, 1277–1294 (1993)CrossRefGoogle Scholar
  5. 5.
    Ruberto, C.D., Nappi, M., Vitulano, S.: Image segmentation by means of fuzzy entropy measure. In: ICIAP 1997: Proc. 9th Intl Conf Image Analysis and Processing, London, UK, vol. I, pp. 214–222. Springer, Heidelberg (1997)Google Scholar
  6. 6.
    Kapoor, J., Sahoo, P., Wong, A.: A new method for gray-level picture thresholding using the entropy of the histogram. Comput. Vision Graphics Image Process 29, 273–285 (1985)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • D. V. Janardhan Rao
    • 1
  • Mohua Banerjee
    • 1
  • Pabitra Mitra
    • 1
  1. 1.Indian Institute of Technology KanpurKanpurIndia

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