“High-quality motion deblurring from a single image” by Shan, Jia and Agarwala

  • ©Qi Shan, Jiaya Jia, and Aseem Agarwala

Conference:


Type:


Title:

    High-quality motion deblurring from a single image

Presenter(s)/Author(s):



Abstract:


    We present a new algorithm for removing motion blur from a single image. Our method computes a deblurred image using a unified probabilistic model of both blur kernel estimation and unblurred image restoration. We present an analysis of the causes of common artifacts found in current deblurring methods, and then introduce several novel terms within this probabilistic model that are inspired by our analysis. These terms include a model of the spatial randomness of noise in the blurred image, as well a new local smoothness prior that reduces ringing artifacts by constraining contrast in the unblurred image wherever the blurred image exhibits low contrast. Finally, we describe an effficient optimization scheme that alternates between blur kernel estimation and unblurred image restoration until convergence. As a result of these steps, we are able to produce high quality deblurred results in low computation time. We are even able to produce results of comparable quality to techniques that require additional input images beyond a single blurry photograph, and to methods that require additional hardware.

References:


    1. Ben-Ezra, M., and Nayar, S. K. 2004. Motion-based motion deblurring. TPAMI 26, 6, 689–698. Google ScholarDigital Library
    2. Bracewell, R. N. 1999. The Fourier Transform and Its Applications. McGraw-Hill.Google Scholar
    3. Donatelli, M., Estatico, C., Martinelli, A., and Serra-Capizzano, S. 2006. Improved image deblurring with antireflective boundary conditions and re-blurring. Inverse Problems 22, 6, 2035–2053.Google ScholarCross Ref
    4. Fergus, R., Singh, B., Hertzmann, A., Roweis, S. T., and Freeman, W. 2006. Removing camera shake from a single photograph. ACM Transactions on Graphics 25, 787–794. Google ScholarDigital Library
    5. Gamelin, T. W. 2003. Complex Analysis. Springer.Google Scholar
    6. Jia, J. 2007. Single image motion deblurring using transparency. In CVPR.Google Scholar
    7. Kim, S. K., and Paik, J. K. 1998. Out-of-focus blur estimation and restoration for digital auto-focusing system. Electronics Letters 34, 12, 1217–1219.Google ScholarCross Ref
    8. Kim, S.-J., Koh, K., Lustig, M., and Boyd, S. 2007. An efficient method for compressed sensing. In ICIP.Google Scholar
    9. Levin, A., Fergus, R., Durand, F., and Freeman, B. 2007. Image and depth from a conventional camera with a coded aperture. In SIGGRAPH. Google ScholarDigital Library
    10. Likas, A., and Galatsanos, N. 2004. A Variational Approach for Bayesian Blind Image Deconvolution. IEEE Transactions on Signal Processing 52, 8, 2222–2233. Google ScholarDigital Library
    11. Liu, R., and Jia, J. 2008. Reducing boundary artifacts in image deconvolution. In ICIP.Google Scholar
    12. Lucy, L. 1974. Bayesian-based iterative method of image restoration. Journal of Astronomy 79, 745–754.Google ScholarCross Ref
    13. Miskin, J., and MacKay, D. 2000. Ensemble learning for blind image separation and deconvolution. Advances in Independent Component Analysis, 123–141.Google Scholar
    14. Neelamani, R., Choi, H., and Baraniuk, R. G. 2004. ForWaRD: Fourier-wavelet regularized deconvolution for ill-conditioned systems. IEEE Transactions on Signal Processing 52, 418–433. Google ScholarDigital Library
    15. Raskar, R., Agrawal, A., and Tumblin, J. 2006. Coded exposure photography: Motion deblurring using fluttered shutter. ACM Transactions on Graphics 25, 3, 795–804. Google ScholarDigital Library
    16. Rav-Acha, A., and Peleg, S. 2005. Two motion blurred images are better than one. Pattern Recognition Letters 26, 311–317. Google ScholarDigital Library
    17. Roth, S., and Black, M. J. 2005. Fields of experts: A framework for learning image priors. In CVPR. Google ScholarDigital Library
    18. Shan, Q., Xiong, W., and Jia, J. 2007. Rotational motion deblurring of a rigid object from a single image. In ICCV.Google Scholar
    19. Simon, M. K. 2002. Probability Distributions Involving Gaussian Random Variables: A Handbook for Engineers, Scientists and Mathematicians. Springer. Google ScholarDigital Library
    20. Wainwright, M. J. 2006. Estimating the “wrong” graphical model: Benefits in the computation-limited setting. Journal of Machine Learning Research, 1829–1859. Google ScholarDigital Library
    21. Weiss, Y., and Freeman, W. T. 2007. What makes a good model of natural images? In CVPR.Google Scholar
    22. Wiener, N. 1964. Extrapolation, Interpolation, and Smoothing of Stationary Time Series. MIT Press. Google ScholarDigital Library
    23. Yuan, L., Sun, J., Quan, L., and Shum, H.-Y. 2007. Image Deblurring with Blurred/Noisy Image Pairs. In SIGGRAPH. Google ScholarDigital Library


ACM Digital Library Publication:



Overview Page: