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Section A

An additive convolution model for fast restoration of nonuniform blurred images

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Pages 2446-2466 | Received 20 Jan 2013, Accepted 29 May 2013, Published online: 12 Jul 2013

References

  • M.V. Afonso, J.M. Bioucas-Dias, and M.A.T. Figueiredo, Fast image recovery using variable splitting and constrained optimization, IEEE Trans. Image Process. 19(9) (2010), pp. 2345–2356. doi: 10.1109/TIP.2010.2047910
  • M.V. Afonso, J.M. Bioucas-Dias, and M.A.T. Figueiredo, An augmented Lagrangian approach to the constrained optimization formulation of imaging inverse problems, IEEE Trans. Image Process. 20(3) (2011), pp. 681–695. doi: 10.1109/TIP.2010.2076294
  • A. Beck and M. Teboulle, A fast iterative shrinkage–thresholding algorithm for linear inverse problems, SIAM J. Imag. Sci. 2(1) (2009), pp. 183–202. doi: 10.1137/080716542
  • A. Beck and M. Teboulle, Fast gradient-based algorithms for constrained total variation image denoising and deblurring problems, IEEE Trans. Image Process. 18(11) (2009), pp. 2419–2434. doi: 10.1109/TIP.2009.2028250
  • J.M. Bioucas-Dias and M.A.T. Figueiredo, A new TwIST: Two-step iterative shrinkage/thresholding algorithms for image restoration, IEEE Trans. Image Process. 16(12) (2007), pp. 2992–3004. doi: 10.1109/TIP.2007.909319
  • K. Bredies, Y. Dong, and M. Hintermuller, Spatially dependent regularization parameter selection in total generalized variation models for image restoration, Int. J. Comput. Math. 90(1) (2012), pp. 109–123. doi: 10.1080/00207160.2012.700400
  • S. Chaudhuri and A.N. Rajagopalan, Depth from Defocus: A Real Aperture Imaging Approach, Springer-Verlag, New York, 1999.
  • K. Chen, Introduction to variational image-processing models and applications, Int. J. Comput. Math. 90(1) (2013), pp. 1–8. doi: 10.1080/00207160.2012.757073
  • I. Daubechies, M. Defriese, and C.D. Mol, An iterative thresholding algorithm for linear inverse problems with a sparsity constraint, Commun. Pure Appl. Math. 57(11) (2004), pp. 1413–1457. doi: 10.1002/cpa.20042
  • P. Favaro and S. Soatto, A geometric approach to shape from defocus, IEEE Trans. Pattern Anal. Mach. Intell. 27(3) (2005), pp. 406–417. doi: 10.1109/TPAMI.2005.43
  • P. Favaro and S. Soatto, 3-D Shape Estimation and Image Restoration: Exploiting Defocus and Motion Blur, Springer-Verlag, London, 2007.
  • P. Favaro, A. Mennucci, and S. Soatto, Observing shape from defocused images, Int. J. Comput. Vis. 52(1) (2003), pp. 25–43. doi: 10.1023/A:1022366408068
  • P. Favaro, S. Soatto, M. Burger, and S.J. Osher, Shape from defocus via diffusion, IEEE Trans. Pattern Anal. Mach. Intell. 30(3) (2008), pp. 518–531. doi: 10.1109/TPAMI.2007.1175
  • B.K. Gunturk and X. Li, Image Restoration: Fundamentals and Advances, CRC Press, Boca Raton, FL, 2012.
  • A. Gupta, N. Joshi, C. Lawrence Zitnick, M. Cohen, and B. Curless, Single image deblurring using motion density functions, in Proceedings of European Conference on Computer Vision, K. Daniilidis, P. Maragos, and N. Paragios, eds., Springer-Verlag Berlin, Heidelberg, 2010, Vol. 6311, pp. 171–184.
  • R.A. Horn and C.R. Johnson, Matrix Analysis, Cambridge University Press, New York, 1986.
  • Z. Hu and M.-H. Yang, Fast non-uniform deblurring using constrained camera pose subspace, in Proceedings of the British Machine Vision Conference, R. Bowden, J. Collomosse, and K. Mikolajczyk, eds., BMVA Press, Guildford, 2012, pp. 136.1–136.11.
  • I.T. Jolliffe, Principal Component Analysis, Springer-Verlag, New York, 2002.
  • S. Kim, Y.-W. Tai, S.J. Kim, M.S. Brown, and Y. Matsushita, Nonlinear camera response functions and image deblurring, Proceedings of IEEE Conference on Computer Vision and Pattern Recognition, Rhode Island, 2012, pp. 25–32.
  • A. Kolaman and O. Yadid-Pecht, Quaternion structural similarity: A new quality index for color images, IEEE Trans. Image Process. 21(4) (2012), pp. 1526–1536. doi: 10.1109/TIP.2011.2181522
  • D.D. Lee and H.S. Seung, Learning the parts of objects by non-negative matrix factorization, Nature 401 (1999), pp. 788–791. doi: 10.1038/44565
  • A. Levin, R. Fergus, F. Durand, and W.T. Freeman, Image and depth from a conventional camera with a coded aperture, in Proceedings of ACM SIGGRAPH 2007 – International Conference on Computer Graphics and Interaction Techniques, San Diego, CA, M. Levoy, ed., ACM Press, New York, NY, 2007, pp. 70.1–70.9.
  • A. Levin, Y. Weiss, F. Durand, and W.T. Freeman, Understanding and evaluating blind deconvolution algorithms, Proceedings of IEEE Conference on Computer Vision and Pattern Recognition, Miami, FL, 2009, pp. 1964–1971.
  • A. Levin, Y. Weiss, F. Durand, and W.T. Freeman, Understanding blind deconvolution algorithms, IEEE Trans. Pattern Anal. Mach. Intell. 33(12) (2011), pp. 2354–2367. doi: 10.1109/TPAMI.2011.148
  • T. Popkin, A. Cavallaro, and D. Hands, Accurate and efficient method for smoothly space-variant gaussian blurring, IEEE Trans. Image Process. 19(5) (2010), pp. 1362–1370. doi: 10.1109/TIP.2010.2041400
  • A.N. Rajagopalan and S. Chaudhuri, An MRF model-based approach to simultaneous recovery of depth and restoration from defocused images, IEEE Trans. Pattern Anal. Mach. Intell. 21(7) (1999), pp. 577–589. doi: 10.1109/34.777369
  • A.N. Rajagopalan, S. Chaudhuri, and M. Uma, Depth estimation and image restoration using defocused stereo pairs, IEEE Trans. Pattern Anal. Mach. Intell. 26(11) (2004), pp. 1521–1525. doi: 10.1109/TPAMI.2004.102
  • L.I. Rudin, S. Osher, and E. Fatemi, Nonlinear total variation based noise removal algorithms, Physics D 60(1–4) (1992), pp. 259–268. doi: 10.1016/0167-2789(92)90242-F
  • Q. Shan, J. Jia, and A. Agarwala, High-quality motion deblurring from a single image, ACM Trans. Graph. 27(3) (2008), pp. 1–10. doi: 10.1145/1360612.1360672
  • Z. Shen, K.-C. Toh, and S. Yun, An accelerated proximal gradient algorithm for frame-based image restoration via the balanced approach, SIAM J. Imag. Sci. 4(2) (2011), pp. 573–596. doi: 10.1137/090779437
  • S. Stancin and S. Tomazic, Angle estimation of simultaneous orthogonal rotations from 3D gyroscope measurements, Sensors 11(9) (2011), pp. 8536–8549. doi: 10.3390/s110908536
  • Y.-W. Tai, P. Tan, and M.S. Brown, Richardson–Lucy deblurring for scenes under a projective motion path, IEEE Trans. Pattern Anal. Mach. Intell. 33(8) (2011), pp. 1603–1618. doi: 10.1109/TPAMI.2010.222
  • F. Wang and M.K. Ng, A fast minimization method for blur and multiplicative noise removal, Int. J. Comput. Math. 90(1) (2012), pp. 48–61. doi: 10.1080/00207160.2012.688821
  • Z. Wang, A.C. Bovik, H.R. Sheikh, and E.P. Simoncelli, Image quality assessment: From error visibility to structural similarity, IEEE Trans. Image Process. 13(4) (2004), pp. 600–612. doi: 10.1109/TIP.2003.819861
  • Y. Wang, J. Yang, W. Yin, and Y. Zhang, A new alternating minimization algorithm for total variation image reconstruction, SIAM J. Imag. Sci. 1(3) (2008), pp. 248–272. doi: 10.1137/080724265
  • O. Whyte, J. Sivic, A. Zisserman, and J. Ponce, Non-uniform deblurring for shaken images, Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, San Francisco, CA, 2010, pp. 491–498.
  • O. Whyte, J. Sivic, A. Zisserman, and J. Ponce, Non-uniform deblurring for shaken images, Int. J. Comput. Vis. 98(2) (2012), pp. 168–186. doi: 10.1007/s11263-011-0502-7
  • W. Zuo and Z. Lin, A generalized accelerated proximal gradient approach for total-variation-based image restoration, IEEE Trans. Image Process. 20(10) (2011), pp. 2748–2759. doi: 10.1109/TIP.2011.2131665

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