Skip to main content

No-Reference Methods and Fuzzy Sets

  • Chapter
  • First Online:
Image Quality Assessment of Computer-generated Images

Part of the book series: SpringerBriefs in Computer Science ((BRIEFSCOMPUTER))

  • 571 Accesses

Abstract

This model can then be used in any progressive stochastic global illumination method in order to estimate the noise level of different parts of any image. A comparative study of this model with a simple test image demonstrates the good consistency between an added noise value and the results from the noise estimator.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Institutional subscriptions

References

  • Babaud J, Witkin A, Baudin M, Duda R (1986) Uniqueness of the Gausssian kernel for scale-space filtering. IEEE Trans PAMI 8:26–33

    Article  MATH  Google Scholar 

  • Babu K, Sunitha K (2011) A new fuzzy Gaussian noise removal method for gray-scale images. IJCSIT 2(1):504–511

    Google Scholar 

  • Bigand A, Colot O (2010) Fuzzy filter based on interval-valued fuzzy sets for image filtering. Fuzzy Sets Syst 161:96–117

    Article  MathSciNet  Google Scholar 

  • Bigand A, Colot O (2012) Speckle noise reduction using an interval type-2 fuzzy sets filter. In: IEEE 6th international conference ’intelligent systems’

    Google Scholar 

  • Bloch I (1996) Information combination operators for data fusion: a comparative review with classification. IEEE Trans SMC - Part B 26:52–67

    Google Scholar 

  • Bustince H, Barrenechea E, Pergola M, Fernandez J (2009) Interval-valued fuzzy sets constructed from matrices: application to edge detection. Fuzzy Sets Syst 160:1819–1840

    Article  MathSciNet  MATH  Google Scholar 

  • Delepoulle S, Bigand A, Renaud C (2011) Interval type-2 fuzzy sets based no-reference quality evaluation of synthesis images. In: Proceedings of CGVR’11

    Google Scholar 

  • Delepoulle S, Bigand A, Renaud C (2012) A no-reference computer-generated images quality metrics and its application to denoising. In: IEEE intelligent systems IS’12 conference, vol 1, pp 67–73

    Google Scholar 

  • Deluca A, Termini S (1972) A definition of a nonprobabilistic entropy in the setting of fuzzy set theory. Inf Control 20(4):301–312

    Article  MathSciNet  MATH  Google Scholar 

  • Deng G, Tay DBH, Marusic S (2007) A signal denoising algorithm based on overcomplete wavelet representations and Gaussian models. Signal Process 87(5):866–876

    Article  MATH  Google Scholar 

  • Dubois D, Prade H (2005) Interval-valued fuzzy sets, possibility and imprecise probability. In: EUSFLAT- LFA 2005

    Google Scholar 

  • Ferzli R, Karam L (2005) No-reference objective wavelet based noise immune image sharpness metric. In: International conference on image processing

    Google Scholar 

  • Jolion J, Meer P, Rosenfeld A (1990) A fast parallel algorithm for blind estimation of noise variance. IEEE Trans PAMI 12:216–223

    Article  Google Scholar 

  • Jurio A, Paternain D, Lopez-Molina C, Bustince H, Mesiar H, Beliakov G (2011) A construction method of interval-valued fuzzy sets for image processing. In: Proceedings 2011 IEEE symposium on advances in type-2 fuzzy logic systems

    Google Scholar 

  • Kaufmann A (1975) Introduction to the theory of fuzzy set—Fundamental theorical elements, vol 28. Academic Press, New York

    Google Scholar 

  • Lahoudou A, Viennet E, Beghdadi A (2010) Selection of low-level features for image quality assessment by statistical methods. J Comput Inf Technol 2:183–189

    Article  Google Scholar 

  • Li Q, Wang Z (2009) Reduced-reference image quality assessment using divisive normalization based image representation. IEEE J Selected Topics Signal Process 3(2):202–211

    Article  Google Scholar 

  • Mendel J, John RB (2002) Type-2 fuzzy sets made simple. IEEE Trans Fuzzy Syst 10(2):117–127

    Article  Google Scholar 

  • Nachtegael N, Schulte S, der Weken DV, Witte VD, Kerre E (2005) Fuzzy filters for noise reduction: the case of Gaussian noise. In: Proceedings of International Conference on Fuzzy System

    Google Scholar 

  • Olsen S (1993) Estimation of noise in Images: an evaluation. CVGIP 55:319–323

    Google Scholar 

  • Pal N, Bezdek J (1994) Measures of fuzziness: a review and several classes. Van Nostrand Reinhold, New York

    Google Scholar 

  • Rank M, Lendl M, Unbehauen R (1999) Estimation of image noise variance. In: Proceedings of the IEE visual signal process

    Google Scholar 

  • Shirley P, Wang C, Zimmerman K (1996) Monte Carlo techniques for direct lighting calculations. ACM Trans Graph 15(1):1–36

    Article  Google Scholar 

  • Starck JL, Murtagh F, Gastaud R (1998) A new entropy measure based on the wavelet transform and noise modeling. IEEE Trans Circ Syst II 45:1118–1124

    Article  MATH  Google Scholar 

  • Sussner P, Nachtegael M, Esmi E (2011) An approach towards edge-detection and watershed segmentation based on an interval-valued morphological gradient. In: Proceedings of IPCV’11

    Google Scholar 

  • Tizhoosh H (2005) Image thresholding using type-2 fuzzy sets. Pattern Recogn 38:2363–2372

    Article  MATH  Google Scholar 

  • Wang Z, Simoncelli EP (2005) Reduced reference image quality assessment using a wavelet-domain natural image statistic model. In: Proceedings of SPIE, conference on human vision and electronic imaging X, vol 5666, pp 149–159

    Google Scholar 

  • Wang Z, Bovik AC, Sheikh HR, Simoncelli EP (2004) Image quality assessment: from error visibility to structural similarity. Trans Img Proc 13(4):600–612

    Google Scholar 

  • Wilbik A, Keller JM (2012) A distance metric for a space of linguistic summaries. Fuzzy Sets Syst 208(1):

    Google Scholar 

  • Wilbik A, MKeller J, (2012) A fuzzy measure similarity between sets of linguistic summaries. IEEE Trans Fuzzy Syst 21(1):

    Google Scholar 

  • Zadeh L (1965) Fuzzy sets. Inf Control 8:338–353

    Google Scholar 

  • Zadeh L (1968) Probability measures of fuzzy events. J Math Anal Appl 23

    Google Scholar 

  • Zadeh L (1975) The concept of a linguistic variable and its application to approximate reasoning. Inf Sci 8:199–249

    Article  MathSciNet  MATH  Google Scholar 

  • Zhang J, Ong S, Thinh M (2011) Kurtosis based no-reference quality assessment of jpeg2000 images. Sig Process Image Commun 26(1):13–23

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to André Bigand .

Rights and permissions

Reprints and permissions

Copyright information

© 2018 The Author(s)

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Bigand, A., Dehos, J., Renaud, C., Constantin, J. (2018). No-Reference Methods and Fuzzy Sets. In: Image Quality Assessment of Computer-generated Images. SpringerBriefs in Computer Science. Springer, Cham. https://doi.org/10.1007/978-3-319-73543-6_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-73543-6_6

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73542-9

  • Online ISBN: 978-3-319-73543-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics