Abstract
In this paper we propose a new variational image deringing method. This method is based on total variation minimization with an adaptively varying regularization parameter. The proposed approach improves visual quality of resulting images by preserving more structural information comparing to existing methods. Attendant parallel algorithms have been developed and implemented on GPU.
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L. J. Erasmus, D. Hurter, M. Naude, H. G. Kritzinger, and S. Acho, “A short overview of MRI artifacts,” South African J. Radiol. 8(2), 13–17 (2004).
H. Jang, S. Subramanian, et al., “Single acquisition quantitative single-point electron paramagnetic resonance imaging,” Magn. Resonance Med. 70(4), 1173–1181 (2013).
A. V. Nasonov and A. S. Krylov, “Scale-space method of image ringing estimation,” in Proc. Int. Conf. on Image Processing (ICIP) (Cairo, 2009), pp. 2793–2796.
M. S. C. Almeida and M. A. T. Figueiredo, “Parameter estimation for blind and non-blind deblurring using residual whiteness measures,” IEEE Trans. Image Processing 22(7), 2751–2763 (2013).
A. Punchihewa and A. Keerl, “Test pattern based evaluation of ringing and blur in JPEG and JPEG2000 compressed images,” in Proc. Signal Processing Commun. Syst. Conf. (ICSPCS) (Gold Coast, 2010), pp. 1–9.
H. Lim and H. W. Park, “A ringing-artifact reduction method for block-DCT-based image resizing,” IEEE Trans. Circuits Syst. Video Technol. 21(7), 879–889 (2011).
A. V. Nasonov and A. S. Krylov, “Adaptive image deranging,” in Proc. 19th Int. Conf. on Computer Graphics GraphiCon’2009 (Moscow, 2009), pp. 151–154.
J. Canny, “A computational approach to edge detection,” IEEE Trans. PAMI 8(6), 679–698 (1986).
A. S. Krylov and A. V. Nasonov, “Adaptive total variation deringing method for image interpolation,” in Proc. Int. Conf. on Image Processing (San Diego, 2008), pp. 2608–2611.
R. Fabbri, L. Costa, J. Torrelli, and O. Bruno, “2D Euclidean distance transform algorithms: a comparative survey,” ACM Comput. Surv. 40, 1–44 (2008).
Yu. Nesterov, “Smooth minimization of non-smooth functions,” Math. Program. 103(1), 127–152 (2005).
P. Weiss, L. Blanc-Feraud, and G. Aubert, “Efficient schemes for total variation minimization under constraints in image processing,” SIAM J. Sci. Comput. 31(3), 2047–2080 (2009).
I. T. Sitdikov, A. V. Nasonov, A. S. Krylov, and Ding Yong, “Parallel implementation of area detection algorithms for image ringing artifact analysis,” in Proc. 15th Int. Conf. “Digital Signal Processing and Its Applications,” DSPA’2013 (Moscow, 2013), Vol. 2, pp. 55–58.
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This paper uses the materials of a report that was submitted at the 11th International Conference Pattern Recognition and Image Analysis: New Information Technologies that was held in Samara, Russia on September 23–28, 2013.
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Iskander Talgatovich Sitdikov (born 1991), Graduated from the Faculty of Computational Mathematics and Cybernetics in 2013, Lomonosov Moscow State University (MSU). He is a PhD student at the Faculty of Computational Mathematics and Cybernetics, MSU. His main research interests lie in mathematical methods of image processing and computer vision, parallel computations, and optimization theory.
Andrei Serdzhevich Krylov (born 1956). Graduated from the Faculty of Computational Mathematics and Cybernetics in 1978, Lomonosov Moscow State University (MSU). Received the degree of PhD in 1983, the degree of Dr. Sci. in 2009. He is professor and head of the Laboratory of Mathematical Methods of Image Processing at the Faculty of Computational Mathematics and Cybernetics, MSU. His main research interests lie in mathematical methods of multimedia data processing and analysis.
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Sitdikov, I.T., Krylov, A.S. Variational image deringing using varying regularization parameter. Pattern Recognit. Image Anal. 25, 96–100 (2015). https://doi.org/10.1134/S1054661815010186
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DOI: https://doi.org/10.1134/S1054661815010186