Abstract
In this paper, we have propounded a neoteric procedure for the super-resolution of an image using a single image. An image of low resolution is given as input which is upscaled to an image while preserving the information that is stored in textural and structural details of an image. The image provided as input which is of low resolution is segregated into two sections, namely textured and non-textured according to the features of the image. Rational fractal interpolation is employed in the section of the image considered as textured and rational interpolation is employed in the remaining image which is considered to be non-textured. Thereafter, pixel mapping is performed. The result obtained from interpolation is found to contain Gaussian noise. To subdue the effect of this noise, an adaptive Wiener filter is applied. Finally, an image of high resolution is obtained. Profound simulations and assessments demonstrate that competitive performance is achieved by our algorithm. The mean square error reduces approximately up to \(5\%\), whereas the structural similarity index improves marginally.
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References
K. Nasrollahi, T. Moeslund, Super-resolution: a comprehensive survey. Mach. Vis. Appl. 25(6), 1423–1468 (2014)
S.C. Park, M.K. Park, M.G. Kang, Super-resolution image reconstruction: a technical overview. IEEE Signal Process. Mag. 20(3), 21–36 (2003)
G. Pandey, U. Ghanekar, A compendious study of super-resolution techniques by single image. Optik. 166 (2018). https://doi.org/10.1016/j.ijleo.2018.03.103
J. Shi, S.E. Reichenbach, Image interpolation by two-dimensional parametric cubic convolution. IEEE Trans. Image Process. 15(7), 1857–1870 (2006)
P. Thévenaz, T. Blu, M. Unser, I. Bankman, Image interpolation and resampling, in Handbook of Medical Image Processing and Analysis (Academic Press, 2000), pp. 393–420
X. Li, M.T. Orchard, New edge-directed interpolation. IEEE Trans. Image Process. 10(10), 1521–1527 (2001)
D. Zhou, X. Shen, W. Dong, Image zooming using directional cubic convolution interpolation. IET Image Proc. 6(6), 627–634 (2012)
D. Zhang, W. Xiaolin, An edge-guided image interpolation algorithm via directional filtering and data fusion. IEEE Trans. Image Process. 15(8), 2226–2238 (2006)
S. Carrato, L. Tenze, A high quality 2X image interpolator. IEEE Signal Process Lett 7(6), 132–134 (2000)
Y. Liu, Z. Yunfeng, G. Qiang, Z. Caiming, Image interpolation based on weighted and blended rational function, in ACCV Workshops (2014)
Y. Xu, X. Yang, H. Ling, H. Ji, A new texture descriptor using multifractal analysis in multi-orientation wavelet pyramid, in IEEE Computer Society Conference on Computer Vision and Pattern Recognition, San Francisco, CA (2010), pp. 161–168
Y. Xu, Y. Quan, H. Ling, H. Ji, Dynamic texture classification using dynamic fractal analysis, in International Conference on Computer Vision, Barcelona (2011), pp. 1219–1226
R.C. Gonzalez, R.E. Woods, S.L. Eddins, Digital Image Processing Using MATLAB (Prentice Hall, 2004)
N. Wiener, Extrapolation, Interpolation, and Smoothing of Stationary Time Series (Wiley, 1949)
S. Osher, J.A. Sethian, Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79(1), 12–49 (1988)
Y. Zhang, Q. Fan, F. Bao, Y. Liu, C. Zhang, Single-image super-resolution based on rational fractal interpolation. IEEE Trans. Image Process. 27(8), 3782–3797 (2018)
J.S. Lee, Digital image enhancement and noise filtering by use of local statistics. IEEE Trans. PAMI 2(2), 165–168 (1980)
J.S. Lim, Two-Dimensional Signal and Image Processing (Englewood Cliffs, NJ, Prentice Hall, 1990), p. 548. Equations 9.44, 9.45, and 9.46
M. Bevilacqua, A. Roumy, C. Guillemot, M.-L. Alberi-Morel, Low-complexity single image super-resolution based on nonnegative neighbor embedding, in Proceedings of the British Machine Vision Conference (2012), pp. 135.1–135.10
W. Zhou, A.C. Bovik, H.R. Sheikh, E.P. Simoncelli, Image quality assessment: from error visibility to structural similarity. IEEE Trans. Image Process. 13(4), 600–612 (2004)
A. Giachetti, N. Asuni, Real-time artifact-free image upscaling. IEEE Trans. Image Process. 20(10), 2760–2768 (2011)
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Dhawan, R., Ghanekar, U. (2022). Single-Image Super-Resolution Using Rational Fractal Interpolation and Adaptive Wiener Filtering. In: Rawat, S., Kumar, A., Kumar, P., Anguera, J. (eds) Proceedings of First International Conference on Computational Electronics for Wireless Communications. Lecture Notes in Networks and Systems, vol 329. Springer, Singapore. https://doi.org/10.1007/978-981-16-6246-1_40
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DOI: https://doi.org/10.1007/978-981-16-6246-1_40
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