Abstract
Super-resolution (SR) concentrates on constructing a high-resolution (HR) image of a scene from two or more sets of low-resolution (LR) images of the same scene. It is the process of combining a sequence of low-resolution (LR) noisy blurred images to produce a higher-resolution image. The reconstruction of high-resolution images is computationally expensive. SR is defined to be an inverse problem that is well-known as ill-conditioned. The SR problem has been reformulated using optimization techniques to define a solution that is a close approximation of the true scene and less sensitive to errors in the observed images. This paper reviews the optimized SR reconstruction approaches and highlights its challenges and limitations. An experiment has been done to compare between bicubic, iterative back-projection (IBP), projected onto convex sets (POCS), total variation (TV) and Gradient descent via sparse representation. The experimental results show that Gradient descent via sparse representation outperforms other optimization techniques.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Armato III, S.G., McLennan, G., Bidaut, L., McNitt-Gray, M.F., Meyer, C.R., Reeves, A.P., Zhao, B., Aberle, D.R., Henschke, C.I., Hoffman, E.A., Kazerooni, E.A., MacMahon, H., van Beek, E.J.R., Yankelevitz, D., et al.: The Lung Image Database Consortium (LIDC) and Image Database Resource Initiative (IDRI): a completed reference database of lung nodules on CT scans. Med. Phys. 38, 915–931 (2011)
Babacan, S.D., Molina, R., Katsaggelos, AK.: Total variation super resolution using a variational approach. In: 15th IEEE International Conference on Image Processing, pp. 641–644, 12–15 Oct 2008
Bayarsaikhan, B., Kwon, Y., Kim, J.K.: Anisotropic total variation method for text image super-resolution. In: The Eighth IAPR International Workshop on Document Analysis Systems, pp. 473–479 (2008)
Capel, D., Zisserman, A.: Computer vision applied to super resolution. IEEE Signal Process. Mag. 20(3), 75–86 (2003)
Chantas, G.K., Galatsanos, N.P., Woods, N.A.: Super-resolution based on fast registration and maximum a posteriori reconstruction. IEEE Trans. Image Process. 16(7), 1821–1830 (2007)
Chavez-Roman, H., Ponomaryov, V.: Super resolution image generation using wavelet domain interpolation with edge extraction via a sparse representation. IEEE Geosci. Remote Sens. Lett. 11(10), 1777–1781 (2014)
Chen, X., Qi, C.: Low-rank neighbor embedding for single image super-resolution. IEEE Signal Proc. Let. 21(1), 79–82 (2014)
Chu, J., Liu, J., Qiao, J., Wang, X., Li, Y.: Gradient-based adaptive interpolation in super-resolution image restoration. In: 9th International Conference on Signal Processing, 2008. ICSP 2008, pp. 1027–1030, Oct 2008
Elad, M., Feuer, A.: Restoration of a single super-resolution image from several blurred, noisy, and undersampled measured images. IEEE Trans. Image Process. 6(12), 1646–1658 (1997)
El-Khamy, S.E., Hadhoud, M.M., Dessouky, M.I., Salam, B.M., El-Samie, F.E.A.: A new super-resolution image reconstruction algorithm based on wavelet fusion. In: Proceedings of the Twenty-Second National Radio Science Conference (NRSC), pp. 195–204, 15–17 March 2005
Faramarzi, E., Rajan, D., Christensen, M.P.: Unified Blind method for multi-image super-resolution and single/multi-image Blur deconvolution. IEEE Trans. Image Process. 22(6), 2101–2114 (2013)
Farsiu, S., Robinson, D., Elad, M., Milanfar, P.: Advances and challenges in super-resolution. Invited paper. Int. J. Imag. Syst. Technol., Spec. Issue High Resolut. Image Reconstr. 14(2), 47–57 (2004)
Fischler, M.A., Bolles, R.C.: Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography. Commun. ACM 24(6), 381–395 (1981)
Fouad, M.M., Dansereau, R.M., Whitehead, AD.: Two-step super-resolution technique using bounded total variation and bisquare M-estimator under local illumination changes. In: 18th IEEE International Conference on Image Processing (ICIP), pp. 1357–1360, 11–14 Sept 2011
Gan, Z., Cui, Z., Chen, C., Zhu, X.: Adaptive joint nonlocal means denoising back projection for image super resolution. In: 20th IEEE International Conference on Image Processing (ICIP), pp. 630–634, 15–18 Sept 2013
Georgis, G., Lentaris, G., Reisis, D.: Single-image super-resolution using low complexity adaptive iterative back-projection. In: 18th International Conference on Digital Signal Processing (DSP), pp. 16, 1–3 July 2013
Goto, T., Suzuki, S., Hirano, S., Sakurai, M., Nguyen, T.Q.: Fast and high quality learning-based super-resolution utilizing TV regularization method. In: 18th IEEE International Conference on Image Processing (ICIP), pp. 1185–1188, 11–14 Sept 2011
Han, Y. B., Wu, L.: Super resolution reconstruction of video sequence based on total variation. In: International Symposium on Intelligent Multimedia, Video and Speech Processing, pp. 575–578, Oct 2004
He, L., Qi, H., Zaretzki, R.: Non-parametric Bayesian dictionary learning for image super resolution. In: IEEE Future of Instrumentation International Workshop (FIIW), pp. 122–125, 2011
Jing, T., Kai-Kuang, M.: A survey on super-resolution imaging. SIViP 5(3), 329–342 (2011)
Kang, L.-W., Chuang, B.-C., Hsu, C.-C., Lin, C.-W., Yeh, C.-H.: Self-learning-based low-quality single image superresolution. In: IEEE 15th International Workshop on Multimedia Signal Processing (MMSP), vol. 2, pp. 224–229 (2013)
Katsuki, T., Torii, A., Inoue, M.: Posterior-mean super-resolution with a causal gaussian markov random field prior. IEEE Trans. Image Process. 21(7), 3182–3193 (2012)
Keren, D., Peleg, S., Brada, R.: Image sequence enhancement using sub-pixel displacements. In: Computer Society Conference on Computer Vision and Pattern Recognition (CVPR’88), pp. 742–746 (1988)
Kumar, N., Deswal, P.K., Mehta, J., Sethi, A.: Neural network based single image super resolution. In: 11th Symposium on Neural Network Applications in Electrical Engineering (NEUREL), pp. 213–218, 20–22 Sept 2012
Kumar, P.N., Narayana, K.L.: Implementation of an adaptive frame work based super-resolution under inaccurate motion registration. IJECT 5(3), 74–76 (2014)
Lai, R., Yang, Y., Zhou, H., Qin, H., Wang, B.-J.: Total variation regularized iterative back-projection method for single frame image super resolution. In: IEEE 11th International Conference on Signal Processing (ICSP), vol. 2, pp. 931–934, 21–25 Oct 2012
Li, H., Lam, K.-M.: Guided iterative back-projection scheme for single-image super-resolution. In: IEEE Global High Tech Congress on Electronics (GHTCE), pp. 175–180, Nov 2013
Lian, H.: Variational local structure estimation for image super-resolution. In: IEEE International Conference on Image Processing, pp. 1721–1724, 8–11 Oct 2006
Lucchese, L., Doretto, G., Cortelazzo, G.: A frequency domain technique for range data registration. IEEE Trans. Pattern Anal. Mach. Intell. 24(11), 1468–1484 (2002)
Lucchese, L., Cortelazzo, G.: A noise-robust frequency domain technique for estimating planar roto-translations. IEEE Trans. Signal Process. 48(6), 1769–1786 (2000)
Ma, Y.J., Zhang, H., Xue, Y., Zhang, S.: Super—Resoultion Image reconstruction based on K-Means-Markov-Network. In: 5th International Conference on Natural Computation (ICNC), pp. 316–318 (2009)
Marcel, B., Briot, M., Murrieta, R.: Calcul de translation et rotation par la transformation de Fourier. Traitement du Signal 14(2), 135–149 (1997)
Moustafa, M., Ebied, H.M., Helmy, A.: Analysis of shift estimation techniques of super resolution applied to satellite images. In: 2013 8th International Conference on Computer Engineering and Systems (ICCES), pp. 233–238 (2013)
Nayef, N., Chazalon, J., Gomez-Kramer, P., Ogier, J.-M.: Efficient example-based super-resolution of single text images based on selective patch processing. In: 11th IAPR International Workshop on Document Analysis Systems (DAS), pp. 227–231, 7–10 April 2014
Ng, M.K., Shen, H., Lam, E.Y., Zhang, L.: A Total Variation Regularization Based Super-Resolution Reconstruction Algorithm for Digital Video. EURASIP J. Adv. Signal Process. 2007, 1–15 (2007)
Oskoui-Fard, P., Stark, H.: Tomographic image reconstruction using the theory of convex projections. IEEE Trans. Med. Imaging 1, 45–58 (1988)
Pan, M.-C., Lettington, A.H., Efficient method for improving Poisson MAP super-resolution. Electron. Lett. 35(10), 803–805 (1999)
Panchal, N., Limbasiya, B., Prajapati, A.: Survey on multi-frame image super-resolution. Int. J. Sci. Technol. Res. 2(11) (2013)
Park, J., Kwon, Y., Kim, J.H.: An example-based prior model for text image super-resolution. In: 8th International Conference Proceedings on Document Analysis and Recognition, pp. 374–378, 29 Aug–1 Sept 2005
Park, S.C., Park, M.K., Kang, M.G.: Super-resolution image reconstruction: a technical overview. IEEE Signal Proces. Mag. 20, 21–36 (2003)
Ramakanth, S.A., Babu, R.V.: Super resolution using a single image dictionary. In: IEEE International Conference on Electronics, Computing and Communication Technologies (IEEE CONECCT), pp. 1–6, 6–7 Jan 2014
Rasti, P., Demirel, H., Anbarjafari, G.: Image resolution enhancement by using interpolation followed by iterative back projection. In: 21st International on Conference Signal Processing and Communications Applications (SIU), pp. 1–4, April 2013
Rasti, P., Demirel, H., Anbarjafari, G.: Improved Iterative Back Projection for video super-resolution. In: Signal Processing and Communications Applications Conference (SIU), pp. 552–555, April 2014
Rasti, P., Demirel, H., Anbarjafari, G.: Iterative back projection based image resolution enhancement. In: 8th Iranian Conference on Machine Vision and Image Processing (MVIP), pp. 237–240, Sept 2013
Robinson, M.D., Toth, C.A., Lo, J.Y., Farsiu, S.: Efficient Fourier-Wavelet super-resolution. IEEE Trans. Image Process. 19(10), 2669–2681 (2010)
Rochefort, G., Champagnat, F., Le Besnerais, G., Giovannelli, J.-F.: An improved observation model for super-resolution under affine motion. IEEE Trans. Image Process. 15(11), 3325–3337 (2006)
Sadaka, N.G., Karam, L.J.: Super-resolution using a Wavelet-based adaptive wiener filter. In: 17th IEEE International Conference on Image Processing (ICIP), pp. 3309–3312, 26–29 Sept. 2010
Sakurai, M., Sakuta, Y., Watanabe, M., Goto, T., Hirano, S.: Super-resolution utilizing total variation regularization and a shock filter. In: 19th IEEE International Conference on Image Processing (ICIP), pp. 2221–2224, Sept. 30 2012–Oct 3 2012
Shen, H., Zhang, L., Huang, B., Li, P.: A MAP approach for joint motion estimation, segmentation, and super resolution. IEEE Trans. Image Proc. 16(2), 479–490 (2007)
Song, H., He, X., Chen, W., Sun, Y.: An Improved iterative back-projection algorithm for video super-resolution reconstruction. In: Symposium on Photonics and Optoelectronic (SOPO), pp. 1–4, June 2010
Suzuki, S., Yoshikawa, A., Goto, T., Hirano, S., Sakurai, M.: New learning-based super resolution utilizing total variation regularization method. In: IEEE International Conference on Consumer Electronics (ICCE), pp. 253–254, 9–12 Jan 2011
Toronto, N., Morse, B.S., Seppi, K., Ventura, D.: Super-resolution via recapture and Bayesian effect modeling. In: IEEE Conference on Computer Vision and Pattern Recognition (CVPR 2009), pp. 2388–2395, 2009
Tsai, R.Y., Huang, T.S.: Multiframe image restoration and registration. In: Huang, T.S. (ed.) Advances in Computer Vision and Image Processing. JAI Press Inc. London (1984)
Vandewalle, P., Sbaiz, L., Vandewalle, J., Vetterli, M.: Aliasing is good for you: joint registration and reconstruction for super-resolution. Technical Report, Ecole Polytechnique Fédérale de Lausanne, Switzerland (2006)
Vandewalle, P., Sbaiz, L., Vandewalle, J., Vetterli, M.: How to take advantage of aliasing in bandlimited signals. In: Proceedings of the IEEE International Conference on Acoustics, Speech, Signal Processing, vol. 3, pp. 948–951 (2004)
Vandewalle, P., Sbaiz, L., Vetterli, M., Sustrunk, S.: Super-resolution from highly undersampled images. In: Proceedings of the IEEE International Conference Image Processing, vol. 1, pp. 889–892 (2005)
Vandewalle, P., Süsstrunk, S., Vetterli, M.: A frequency domain approach to registration of aliased images with application to super-resolution. EURASIP J. Appl. Sig. Process. 71459, 1–14 (2006)
Vandewalle, P., Sbaiz, L., Vandewalle, J., Vetterli, M.: Super-resolution from unregistered and totally aliased signals using subspace methods. IEEE Trans. Signal Process. 55(7), 3687–3703 (2007)
Wan, B., Meng, L., Ming, D., Qi, H., Hu, Y., Luk, K.D.K.: Video image super-resolution restoration based on iterative back-projection algorithm. In: IEEE International Conference on Computational Intelligence for Measurement Systems and Applications (CIMSA’09), pp. 46–49, 11–13 May 2009
Wan, B., Zeng, H., Yi, W., Ma, L., Xu, R., Zheng, X., Bai, Y., Qi, H., Ming, D., Wang, W.: Super resolution reconstruction based on total variation regularization. In: IEEE International Conference on Robotics and Biomimetics (ROBIO), pp. 1194–1199, 14–18 Dec 2010
Wang, Q., Tang, X., Shum, H., Patch based blind image super resolution. In: Tenth IEEE International Conference on Computer Vision (ICCV 2005), vol. 1, pp. 709–716, Oct 2005
Wang, Z., Bovik, A.C., Sheikh, H.R., Simoncelli, E.P.: Image quality assessment: From error visibility to structural similarity. IEEE Trans. Image Process. 13(4), 600–612 (2004)
Watanabe, M., Sakuta, Y., Goto, T., Hirano, S., Sakurai, M.: Super-resolution image processing with total variation regularization and shock filters. In: IEEE 1st Global Conference on Consumer Electronics (GCCE), pp. 570–571, 2–5 Oct 2012
Wei, X., Feiyan, Z., Hao, C., Qianqing, Q.: Blind super-resolution image reconstruction based on POCS model. In: International Conference on Measuring Technology and Mechatronics Automation, 2009 (ICMTMA’09)., vol. 1, pp. 437–440, April 2009
Xu, Z.G., Su, X.Q., Zhang, Z.P.: Multi-frame image super-resolution by total-variation regularization. J. Inf. Comput. Sci. 9(4), 945–953 (2012)
Yang, M.-C., Wang, Y.-C.F.: A self-learning approach to single image super-resolution. IEEE Trans. Multimedia 15(3), 498–508 (2013)
Yang, J., Wright, J., Huang, T.S., Ma, Y.: Image super-resolution via sparse representation, Image Process. IEEE Trans. 19(11), 2861–2873 (2010)
Yoshikawa, A., Suzuki, S., Goto, T., Hirano, S., Sakurai, M.: Super resolution image reconstruction using total variation regularization and learning-based method. In: 17th IEEE International Conference on Image Processing (ICIP), pp. 1993–1996, 26–29 Sept 2010
Yu, J., Gao, X., Tao, D., Li, X., Zhang, K.: A Unified learning framework for single image super-resolution. In: IEEE Transactions on Neural Networks and Learning Systems, 25(4), pp. 780, 792, April 2014
Yuan, Q., Zhang, L., Shen, H.: Multiframe super-resolution employing a spatially weighted total variation model. IEEE Trans. Circ. Syst. Video Technol. 22(3), 379–392 (2012)
Yuan, T., Zhou, F., Yang, W., Liao, Q.: Image super-resolution via Kernel regression of sparse coefficients. In: IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 5794–5798, 4–9 May 2014
Zhou, F., Yang, W., Liao, Q.: Single image super-resolution using incoherent sub-dictionaries learning. IEEE Trans. Consum. Electorn. 58(3), 891–897 (2012)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Moustafa, M., Ebied, H.M., Helmy, A., Nazamy, T.M., Tolba, M.F. (2016). Optimization Methods for Medical Image Super Resolution Reconstruction. In: Hassanien, AE., Grosan, C., Fahmy Tolba, M. (eds) Applications of Intelligent Optimization in Biology and Medicine. Intelligent Systems Reference Library, vol 96. Springer, Cham. https://doi.org/10.1007/978-3-319-21212-8_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-21212-8_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-21211-1
Online ISBN: 978-3-319-21212-8
eBook Packages: EngineeringEngineering (R0)