In this paper, we present a novel noise suppression and detail preservation algorithm. The test image is firstly pre-processed through a multiresolution analysis employing the discrete wavelet transform. Then, we apply a fast and robust total variation technique, incorporating a statistical representation in the style of maximum likelihood estimation. Finally, we compare this proposed approach to current state-of-the-art denoising methods using synthetic and real images. The results demonstrate encouraging performance of our algorithm.

Keywords:

Remember to check out the Check out our Most Cited Articles!
Check out these titles on Image Analysis

References

D. L. Donoho, IEEE Transactions on Information Theory 41(3), 613 (1995), DOI: 10.1109/18.382009. Crossref, Web of Science, Google Scholar
S. G. Mallat , A Wavelet Tour of Signal Processing ( Academic Press , San Diego , 1998 ) . Google Scholar
B. Vidakovic, Journal of the American Statistical Association 93(441), 173 (1998), DOI: 10.2307/2669614. Crossref, Web of Science, Google Scholar
J. Liu and P. Moulin, IEEE Trans. Image Proc. 10(6), 841 (2001), DOI: 10.1109/83.923281. Crossref, Web of Science, Google Scholar
P. Perona and J. Malik, IEEE Trans. Pattern Anal. Mach. Intell. 12(7), 629 (1990), DOI: 10.1109/34.56205. Crossref, Web of Science, Google Scholar
L. I. Rudin, S. Osher and E. Fatemi, Physica D 60, 259 (1992), DOI: 10.1016/0167-2789(92)90242-F. Crossref, Web of Science, Google Scholar
D. C. Dobson and C. R. Vogel, SIAM J. Numer. Anal. 34(5), 1779 (1997), DOI: 10.1137/S003614299528701X. Crossref, Web of Science, Google Scholar
S. Durand and J. Froment, SIAM J. Sci. Comput. 24(5), 1754 (2003), DOI: 10.1137/S1064827501397792. Crossref, Web of Science, Google Scholar
T. Chan, A. Marquina and P. Mulet, SIAM J. Sci. Comput. 22(2), 503 (2000), DOI: 10.1137/S1064827598344169. Crossref, Web of Science, Google Scholar
T. F. Chan, S. Osher and J. Shen, IEEE Trans. Image Proc. 10(2), 231 (2001), DOI: 10.1109/83.902288. Crossref, Web of Science, Google Scholar
S. Durand, F. Malgouyres and Rougé, Control, Optimisation and Calculus of Variation 5, 445 (2000), DOI: 10.1051/cocv:2000117. Crossref, Web of Science, Google Scholar
F. Malgouyres, Combining total variation and wavelet packet approaches for image deblurring, Proc. of Workshop on Variational and Level Set Methods in Computer Vision (2001) pp. 57–64. Google Scholar
V. Caselles and L. Rudin , Image recovery via multiscale total variation , Proc. of Second European Conference on Image Processing ( 1995 ) . Google Scholar
S. Osher , A. Solé and L. Vese , Image decomposition, image restoration, and texture modeling using total variation minimization and the h-1 norm , Proceedings of the 2003 IEEE International Conference in Image Processing ( 2003 ) . Google Scholar
H. Choi and R. G. Baraniuk, IEEE Signal Proc. Lett. 11(9), 717 (2004), DOI: 10.1109/LSP.2004.833493. Crossref, Web of Science, Google Scholar
T. Liu et al. , Image denoising and detail preservation by probabilistic models , Proc. of Intl. Conf. Signal Process. Commun. ( 2004 ) . Google Scholar
L. Shenet al., IEEE Trans. Image Proc. 15(5), 1254 (2006), DOI: 10.1109/TIP.2005.864240. Crossref, Web of Science, Google Scholar
D. C. Stanford and A. E. Raftery, IEEE Trans. Patt. Analy. and Mach. Intel. 24(11), 1517 (2002), DOI: 10.1109/TPAMI.2002.1046170. Crossref, Web of Science, Google Scholar
P. Whittle , Probability via Expectation , 3rd edn. ( Springer-Verlag , 1992 ) . Crossref, Google Scholar
D. L. Donoho and I. M. Johnstone, Journal of the American Statistical Association 90(432), 1200 (1995), DOI: 10.2307/2291512. Crossref, Web of Science, Google Scholar
T. Cai and B. W. Silverman, Sankhya 63, 127 (2001). Google Scholar
E. F. Vonesh and R. L. Carter, Biometrics 43, 617 (1987), DOI: 10.2307/2531999. Crossref, Web of Science, Google Scholar
L. Devroye and Györfi , Nonparametric density estimation ( John Wiley & Sons , 1985 ) . Google Scholar
F. Andreuet al., Differential and Integral Equations 14(3), 321 (2001). Web of Science, Google Scholar
P. Billingsley , Convergence of probability measures , 2nd edn. ( John Wiley & Sons , 1999 ) . Crossref, Google Scholar
T. T. Cai and L. D. Brown, The Annals of Statistics 36(5), 1783 (1998). Google Scholar
I. Daubechies , Ten Lectures on Wavelet ( Siam , Philadephia, PA , 1992 ) . Crossref, Google Scholar
D. Taoet al., Supervised tensor learning, Proc. of IEEE Int'l Conf. Data Mining (2005) pp. 450–457. Google Scholar
D. Taoet al., Knowledge and Information Systems (2007). Google Scholar