Abstract
The fact that multimedia services have become the major driver for next generation wireless networks underscores their technological and economic impact. A vast majority of these multimedia services are consumer-centric and therefore must guarantee a certain level of perceptual quality. Given the massive volumes of image and video data in question, it is only natural to adopt automatic quality prediction and optimization tools. The past decade has seen the invention of several excellent automatic quality prediction tools for natural images and videos. While these tools predict perceptual quality scores accurately, they do not necessarily lend themselves to standard optimization techniques. In this chapter, a systematic framework for optimization with respect to a perceptual quality assessment algorithm is presented. The Structural SIMilarity (SSIM) index, which has found vast commercial acceptance owing to its high performance and low complexity, is the representative image quality assessment model that is studied. Specifically, a detailed exposition of the mathematical properties of the SSIM index is presented first, followed by a discussion on the design of linear and non-linear SSIM-optimal image restoration algorithms.
References
Andrews HC, Hunt BR (1977) Digital image restoration. Signal processing series. Prentice-Hall, Englewood Cliffs, NJ
Bertsekas DP (1995) Dynamic programming and optimal control. Athena Scientific, Belmont, MA
Bertsekas DP (1999) Nonlinear programming. Athena Scientific, Belmont, MA
Boyd S, Vandenberghe L (2004) Convex optimization. Cambridge University Press, New York
Brunet D (2012) A study of the structural similarity image quality measure with applications to image processing. PhD thesis, University of Waterloo
Brunet D, Vrscay ER, Wang Z (2010) Structural similarity-based approximation of signals and images using orthogonal bases. In: Kamel M, Campilho A (eds) Proceedings on an international conference on image analysis and recognition. Lecture notes in computer science, vol 6111. Springer, Heidelberg, pp 11–22
Brunet D, Vrscay ER, Wang Z (2012) On the mathematical properties of the structural similarity index. IEEE Trans Image Process 21(4):1488–1499
Chang H-W, Yang H, Gan Y, Wang M-H (2013) Sparse feature fidelity for perceptual image quality assessment. IEEE Trans Image Process 22(10):4007–4018
Chang SG, Yu B, Vetterli M (2000) Adaptive wavelet thresholding for image denoising and compression. IEEE Trans Image Process 9(9):1532–1546
Channappayya SS, Bovik AC, Heath RW (2006) A linear estimator optimized for the structural similarity index and its application to image denoising. In: Proceedings on IEEE international conference on image processing, IEEE, pp 2637–2640
Channappayya SS, Bovik AC, Heath RW (2008) Perceptual soft thresholding using the structural similarity index. In: Proceedings on IEEE international conference on image processing, IEEE, pp 569–572
Chen SS, Donoho DL, Saunders MA (2001) Atomic decomposition by basis pursuit. SIAM Rev 43:129–159
Davis G, Mallat S, Avellaneda M (1997) Greedy adaptive approximation. J Constr Approx 13:57–98
Donoho DL (1995) De-noising by soft-thresholding. IEEE Trans Inf Theory 41(3):613–627
Donoho DL, Johnstone IM (1994) Ideal spatial adaptation by wavelet shrinkage. Biometrika 81(3):425–455
Donoho DL, Johnstone IM (1995) Adapting to unknown smoothness via wavelet shrinkage. J Amer Stat Assoc 90(432):1200–1224
Jin L, Egiazarian K, Kuo CCJ (2012) Perceptual image quality assessment using block-based multi-metric fusion (BMMF). In: Proceedings on IEEE international conference on acoustics, speech, and signal processing, IEEE, pp 1145–1148
Katsaggelos AK (2012) Digital image restoration. Springer, Heidelberg
Kolaman A, Yadid-Pecht O (2012) Quaternion structural similarity: a new quality index for color images. IEEE Trans Image Process 21(4):1526–1536
Mallat S, Zhang Z (1993) Matching pursuit with time-frequency dictionaries. IEEE Trans Signal Process 41:3397–3415
Mannos J, Sakrison D (1974)The effects of a visual fidelity criterion of the encoding of images. IEEE Trans Inf Theory 20(4):525–536
Okarma K (2009) Colour image quality assessment using structural similarity index and singular value decomposition. In: Kamel M, Campilho A (eds) Proceedings on international conference on image analysis and recognition. Lecture notes in computer science, vol 5337. Springer, Heidelberg, pp 55–65
Otero D, La Torre D, Vrscay ER (2015) Structural similarity-based optimization problems with L1̂-regularization: smoothing using mollifiers. In: Proceedings on international conference on image analysis. Springer, pp 33–42
Otero D, Vrscay ER (2014) Solving optimization problems that employ structural similarity as the fidelity measure. In: Proceedings on international conference on image processing, computer vision and pattern recognition, CSREA Press, pp 474–479
Otero D, Vrscay ER (2014) Unconstrained structural similarity-based optimization. In: Proceedings on international conference on image analysis and recognition. Springer, Heidelberg, pp 167–176
Pati YC, Rezaiifar R, Krishnaprasad PS (1993) Orthogonal matching pursuit: Recursive function approximation with applications to wavelet decomposition. In: Proceedings on IEEE Asilomar conference on signals, systems, and computers, pp 40–44
Ponomarenko N, Ieremeiev O, Lukin V, Egiazarian K, Carli M (2011) Modified image visual quality metrics for contrast change and mean shift accounting. In: Proceedings on international conference on the experience of designing and aApplication of CAD systems in microelectronics, pp 305–311
Ponomarenko N, Jin L, Ieremeiev O, Lukin V, Egiazarian K, Astola J, Vozel B, Chehdi K, Carli M, Battisti F et al (2015) Image database TID2013: Peculiarities, results and perspectives. Signal Processing: Image Communication 30:57–77
Ponomarenko N, Lukin V, Zelensky A, Egiazarian K, Carli M, Battisti F (2009) TID2008-a database for evaluation of full-reference visual quality assessment metrics. Adv Mod Radioelectronics 10(4):30–45
Portilla J, Simoncelli E (2003) Image restoration using gaussian scale mixtures in the wavelet domain. In: Proceedings on IEEE international conference on image processing, vol 2, IEEE, pp 965–968
Rehman A, Rostami M, Wang Z, Brunet D, Vrscay ER (2012) SSIM-inspired image restoration using sparse representation, EURASIP J Adv Signal Processing. Special Issue on Image and Video Quality Improvement Techniques for Emerging Applications 16(1):1–12
Rehman A, Wang Z, Brunet D, Vrscay ER (2011) SSIM-inspired image denoising using sparse representations. In: Proceedings on IEEE international conference on acoustics, speech, and signal processing, Prague, Czech Republic, pp 1121–1124
Rubinstein R, Zibulevsky M, Elad M (2008) Efficient implementation of the K-SVD algorithm using batch orthogonal matching pursuit, Technical Report, Department of Computer Science, Technion, Israel Institute of Technology, Haifa, Israel
Sampat MP, Wang Z, Gupta S, Bovik AC, Markey MK (2009) Complex wavelet structural similarity: A new image similarity index. IEEE Trans Image Process 18(11):2385–2401
Wang Z, Bovik AC (2002) A universal image quality index. IEEE Signal Process Lett 9(3):81–84
Wang Z, Bovik AC (2011) Reduced- and no-reference image quality assessment. IEEE Signal Process Mag 28(6):29–40
Wang Z, Bovik AC, Sheikh HR, Simoncelli EP (2004) Image quality assessment: From error visibility to structural similarity. IEEE Trans Image Process 13(4):600–612
Wang Z, Li Q (2011) Information content weighting for perceptual image quality assessment. IEEE Trans Image Process 20(5):1185–1198
Wang Z, Lu L, Bovik AC (2004) Video quality assessment based on structural distortion measurement. Signal Processing: Image Communication 19(2):121–132
Wang Z, Shang X (2006) Spatial pooling strategies for perceptual image quality assessment. In: Proceedings on IEEE international conference on image processing, IEEE, pp 2945–2948
Wang Z, Simoncelli EP, Bovik AC (2003) Multiscale structural similarity for image quality assessment. In: Proceedings on IEEE Asilomar conference on signals, systems, and computers, vol 2, IEEE, pp 1398–1402
Zhang L, Li H (2012) SR-SIM: A fast and high performance IQA index based on spectral residual. In: Proceedings on IEEE international conference on image processing, pp 1473–1476
Zhang L, Zhang L, Mou X, Zhang D (2011) FSIM: A feature similarity index for image quality assessment. IEEE Trans Image Process 20(8):2378–2386
Zhang W, Borji A, Wang Z, Le Callet P, Liu H (2016) The application of visual saliency models in objective image quality assessment: A statistical evaluation. IEEE Trans Neur Netw Learn Sys 27(6):1266–1278
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Brunet, D., Channappayya, S.S., Wang, Z., Vrscay, E.R., Bovik, A.C. (2018). Optimizing Image Quality. In: Monga, V. (eds) Handbook of Convex Optimization Methods in Imaging Science. Springer, Cham. https://doi.org/10.1007/978-3-319-61609-4_2
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