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Adaptive digital image filtering in wavelet domain

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Języki publikacji
EN
Abstrakty
EN
In recent years wavelet transforms have been widely used for image denoising. This is because wavelet transform represents both the stationary and the transient behavior of the image. In this paper an adaptive filtering method is used for removing additive white Gaussian noise. It is based on statistics estimated from a local neighborhood of each wavelet coefficient. Denoising results compare favorably to the shrinkage denoising method, both perceptually and in terms of signal to noise ratio (SNR). The performance of the method is compared to shrinkage denoising method for both low and high (SNR) images.
Rocznik
Strony
279--290
Opis fizyczny
Bibliogr. 23 poz., rys.
Twórcy
  • Deparetment of Computer Science and Engineering, Shiraz University, Shiraz, Iran
Bibliografia
  • [1] Mallat S.: A theory of multi-resolution signal decomposition: the wavelet representation. IEEE Trans. PAMI, 11, 639-674. 1989.
  • [2] Mallat S.: Multifrequency channel decompositions of images and wavelet models. IEEE Trans. ASSP, 37(12), 2091-2110, 1989.
  • [3] Chui C. K.: An Introduction to Wavelets. AP, San Diego. 1992.
  • [4] Coifman R. R., Wickerhauser M. V.: Entropy-based algorithms for best basis selection. IEEE Trans. IT, 38(2), 713-718. 1992.
  • [5] Donoho D.L.: Unconditional bases are optimal bases for data compression and statistical estimation. Applied Comput. Harmonie. Analysis, 1, 100-115. 1993.
  • [6] Donoho D .L., Johnston I. M.: Adaptation to unknown smoothness via wavelet shrinkage. J. Am. St at. Ass. Tech. Report. 425, Stanford University, Dept. of Statistics. 1993.
  • [7] Meyer Y.: Wavelets: Algorithms and Applications. Society for Industrial and Applied Mathematics, Philadelphia. 1993.
  • [8] Benedeto J..J., Frazier M. W. (Eds.): Wavelets: Mathematics and applications. CRC Press. 1994.
  • [9] Starek J. L., Bijaoui A.: Filtering and deconvolution by the wave let transform. SP, 35, 195-211. 1994.
  • [10] Starck J. L., Murtagh F.: lmage restoration with noise suppression using the wavelet transform. Astronomy and Astrophysics, 288, 342-348. 1994.
  • [11] Wiekerhauser M. V.: Adaptive Wavelet. Analysis from Theory to Software Algorithms. A. K. Peters. 1994.
  • [12J Donoho D.L.: Denoising by soft-thresholding. IEEE Tras. IT, 41, 613-627. 1995.
  • [13] Donoho D.L., Johnstone I. M.: Wavelet. shrinkage: asymptotia. J. R. Stal.. Soc. B, Ser., 57(2), 301-369. 1995.
  • [14] Donoho D.L., .Johnstone I. M.: Adapting to unknown smoothness via wavelet shrinkage. J. of the American Statistical Assoc., 90(132), 1200-1224. 1995.
  • [15] Vetterli M., Kovacevic .J.: Wavelcts and Sub-band Coding. Prentice Hall Inc. 1995.
  • [16] Chipman H.,.Kolaczyk E ., McCulloch, R.: Adaptive Bayesian wavelet shrinkage. J. Am. Statistics. Assoc., 92( 440), 1413-1421. 1997.
  • [17 ] Abramovich F., Sapatinas T., Silverman B. W.: Wavelet thresholding via a Bayesian approach. J. R. Statistics Soc., Ser. B, 60, 725-749. 1998.
  • [18] Burrus C., Gopinath R. A., Guo H.: Introduction to Wavelet and Wavelet Transforms: A Primer. Prentice Hall Inc. 1998.
  • [19] Daubechies I.: Orthogonal bases of compactly supported wavelets. Commun. On Pure and Applied Math., 41, 909-996. 1998.
  • [20] Chang S.G., Vetterli M.: Spatial adaptive wavelet thresholding with context modeling for image denoising. IEEE Transaction on lmage Processing, 9, 1522-1531. 2000.
  • [21] Chang S. G., Yu B., Vetterli M.: Adaptive wave let threrholding for image denoising and compression. IEEE Trans. On [mage Proc., 9(9), 1532-1546. 2000.
  • [22] Portilla J., Simoncelli E. P.: Image denoising via adjustment of wavelet coefficient magnitude correlation. ICIP 2000, Vancouver, Canada. 2000.
  • [23] Simoncelli E. P., Adelson E. H.: Noise removal via Bayesian wavelet coring. ICIP 2000. 2000.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWA1-0003-0027
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