Blind restoration and resolution enhancement of images based on complex filtering
- 216 Downloads
- 1 Citations
Abstract
Recently, a blind resolution enhancement method that uses a two-dimensional and single-input multiple-output extension of the constant modulus algorithm has been developed for pure translational motion. The method works well in case of low bit depth unobserved true images, but its performance decreases for high bit depth true images. In this work, we propose a refined scheme in which complex representation of images and a set of complex deconvolution FIR filters are used. Simulations show that the refined method succeeds in reconstructing the low and high bit depth true images without the knowledge of blur parameters. Visual results for the restoration case (single image, no subsampling) are also given. No assumption is made about the blurs except that they have low-pass characteristics. Also, they do not have to be the same for the observed low-resolution images and they do not need to be shift invariant.
Keywords
Blind image restoration Blind image super-resolution 2D constant modulus algorithm Adaptive filtersNotes
Acknowledgments
The authors would like to thank Prof. Peyman Milanfar for kindly providing the MDSP Resolution Enhancement Software. This work was supported by Scientific and Technological Research Council of Turkey (TUBITAK) under Project Number 107E193.
References
- 1.Tsai, R.Y., Huang, T.S.: Multiple frame image restoration and registration. In: Advances in Computer Vision and Image Processing, pp. 317–339. JAI Press Inc., Greenwich (1984)Google Scholar
- 2.Irani, M., Peleg, S.: Improving resolution by image registration. CVGIP Graph. Models Image Process. 53, 231–239 (1991)CrossRefGoogle Scholar
- 3.Stark, H., Oskoui, P.: High-resolution image recovery from image-plane arrays, using convex projections. J. Opt. Soc. Am. A 6, 1715–1726 (1989)CrossRefGoogle Scholar
- 4.Patti, A.J., Sezan, M.I., Tekalp, A.M.: Superresolution video reconstruction with arbitrary sampling lattices and nonzero aperture time. IEEE Trans. Image Process. 6(8), 1064–1076 (1997)CrossRefGoogle Scholar
- 5.Schultz, R.R., Stevenson, R.L.: Extraction of high-resolution frames from video sequences. IEEE Trans. Image Process. 5(6), 996–1011 (1996)CrossRefGoogle Scholar
- 6.Tom, B.C., Katsaggelos, A.K.: Reconstruction of a high-resolution image by simultaneous registration, restoration, and interpolation of low-resolution images. In: Proceedings of 1995 IEEE International Conference Image Processing, vol. 2, pp. 539–542. Washington (1995)Google Scholar
- 7.Elad, M., Feuer, A.: Restoration of a single superresolution image from several blurred, noisy, and undersampled measured images. IEEE Trans. Image Process. 6(12), 1646–1658 (1997)CrossRefGoogle Scholar
- 8.Farsiu, S., Robinson, D., Elad, M., Milanfar, P.: Fast and robust multi-frame super-resolution. IEEE Trans. Image Process. 13(10), 1327–1344 (2004)CrossRefGoogle Scholar
- 9.Kang, M., Lee, E.: Regularized adaptive high-resolution image reconstruction considering inaccurate subpixel registration. IEEE Trans. Image Process. 12(7), 826–837 (2003)MathSciNetCrossRefGoogle Scholar
- 10.He, H., Kondi, L.P.: An image super-resolution algorithm for different error levels per frame. IEEE Trans. Image Process. 15(3), 592–603 (2006)CrossRefGoogle Scholar
- 11.Woods, N.A., Galatsanos, N.P., Katsaggelos, A.K.: Stochastic methods for joint registration, restoration, and interpolation of multiple undersampled images. IEEE Trans. Image Process. 15(1), 201–213 (2006)MathSciNetCrossRefGoogle Scholar
- 12.Segall, C., Katsaggelos, A.K., Molina, R., Mateos, J.: Bayesian resolution enhancement of compressed video. IEEE Trans. Image Process. 13(7), 898–911 (2004)CrossRefGoogle Scholar
- 13.Gunturk, B.K., Altunbasak, Y., Mersereau, R.M.: Super-resolution reconstruction of compressed video using transform-domain statistics. IEEE Trans. Image Process. 13(1), 33–43 (2004)CrossRefGoogle Scholar
- 14.Shechtman, E., Caspi, Y., Irani, M.: Space-time super-resolution. IEEE Trans. Pattern Anal. Mach. Intell. 27(4), 531–545 (2005)CrossRefMATHGoogle Scholar
- 15.Park, S.C., Park, M.K., Kang, M.G.: Super-resolution image reconstruction—a technical overview. IEEE Signal Process. Mag. 20(3), 21–36 (2003)CrossRefGoogle Scholar
- 16.Farsiu, S., Robinson, D., Elad, M., Milanfar, P.: Advances and challenges in super-resolution. Int. J. Imaging Syst. Technol. 14(2), 47–57 (2004)CrossRefGoogle Scholar
- 17.Bose, N.K., Chan, R.H., Ng, M.K.: Special issue on high resolution image reconstruction. Int. J. Imaging. Syst. Tech. 14(2), 35 (2004). doi: 10.1002/ima.20005
- 18.Ng, M., Chan, T., Kang, M.G., Milanfar, P.: Special issue on super-resolution imaging: analysis, algorithms, and applications. EURASIP J. Adv. Signal Process. 2006(1), 1–2 (2006). doi: 10.1155/ASP/2006/90531
- 19.Baker, S., Kanade, T.: Limits on super-resolution and how to break them. IEEE Trans. Pattern Anal. Mach. Intell. 24(9), 1167–1183 (2002)CrossRefGoogle Scholar
- 20.Capel, D., Zisserman, A.: Super-resolution from multiple views using learnt image models. In: Proceedings of IEEE Conference Computer Vision and Pattern Recognition, pp. 627–634 (2001)Google Scholar
- 21.Nguyen, N., Milanfar, P., Golub, G.: Efficient generalized cross-validation with applications to parametric image restoration and resolution enhancement. IEEE Trans. Image Process. 10(9), 1299–1308 (2001)MathSciNetCrossRefMATHGoogle Scholar
- 22.Woods, N., Galatsanos, N., Katsaggelos, A.K.: EM-based simultaneous registration, restoration, and interpolation of super-resolved images. In: Proceedings of IEEE International Conference Image Processing, pp. 303–306 (2003)Google Scholar
- 23.He, Y., Yap, K.H., Chen, L., Chau, L.P.: A soft MAP framework for blind super-resolution image reconstruction. Image Vis. Comput. 27, 364–373 (2009)CrossRefGoogle Scholar
- 24.El-Khamy, S.E., Hadhoud, M.M., Dessouky, M.I., Salam, B.M., Abd El-Samie, F.E.: Blind multichannel reconstruction of high-resolution images using wavelet fusion. Appl. Opt. 44, 7349–7356 (2005)CrossRefMATHGoogle Scholar
- 25.Wirawan, P.D., Maitre, H.: Multi-channel high resolution blind image estimation. In: Proceedings of IEEE ICASSP, pp. 3229–3232 (1999)Google Scholar
- 26.Yagle: Blind superresolution from undersampled blurred measurements. In: Proceedings of Advanced Signal Processing Algorithms, Architectures, Implementation XIII, pp. 299–309 (2003)Google Scholar
- 27.Sroubek, F., Cristobal, G., Flusser, J.: A unified approach to superresolution and multichannel blind deconvolution. IEEE Trans. Image Process. 16(9), 2322–2332 (2007)Google Scholar
- 28.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)MathSciNetCrossRefGoogle Scholar
- 29.Kundur, D., Hatzinakos, D.: Blind image deconvolution. IEEE Signal Process. Mag. 13(3), 43–64 (1996)CrossRefGoogle Scholar
- 30.Jiang, M., Wang, G.: Development of blind image deconvolution and its applications. J. X-ray Sci. Technol. 11, 13–19 (2003)Google Scholar
- 31.Godard, D.: Self-recovering equalization and carrier tracking in two dimensional data communication systems. IEEE Trans. Commun. 28(11), 1867–1875 (1980)CrossRefGoogle Scholar
- 32.Treichler, J.R., Agee, B.G.: A new approach to multipath correction of constant modulus signals. IEEE Trans. Commun. 31(2), 459–473 (1983)Google Scholar
- 33.Vural, C., Sethares, W.A.: Blind image deconvolution via dispersion minimization. Digit. Signal Process. 16, 137–148 (2006)MathSciNetCrossRefMATHGoogle Scholar
- 34.Kara, F., Vural, C.: Blind image resolution enhancement based on a 2D constant modulus algorithm. Inverse Probl. (2008). doi: 10.1088/0266-5611/24/1/015010 MathSciNetMATHGoogle Scholar
- 35.Kara, F., Vural, C.: Blind image deconvolution based on complex mapping. In: IEEE 15th Signal Processing and Communications Applications Conference (SIU) (2007)Google Scholar
- 36.Kara, F., Vural, C.: Complex mapping-based blind image super-resolution. In: IEEE 16th Signal Processing and Communications Applications Conference (SIU) (2008)Google Scholar
- 37.Elad, M., Hel-Or, Y.: A fast super-resolution reconstruction algorithm for pure translational motion and common space-invariant blur. IEEE Trans. Image Process. 10(8), 1187–1193 (2001)CrossRefMATHGoogle Scholar
- 38.Gillette, J.C., Stadtmiller, T.M., Hardie, R.C.: Aliasing reduction in staring infrared images utilizing subpixel techniques. Opt. Eng. 34(11), 3130–3137 (1995)CrossRefGoogle Scholar
- 39.Vural, C., Sethares, W.A.: Recursive blind image deconvolution via dispersion minimization. Int. J. Adapt. Control Signal Process. 19(8), 601–622 (2005)MathSciNetCrossRefMATHGoogle Scholar
- 40.De Haan, G., Biezen, P.: Sub-pixel motion estimation with 3-D recursive search block-matching. Signal Process. Image Commun. 9, 229–239 (1994)CrossRefGoogle Scholar
- 41.Kilthau, S.L., Drew, M.S., Moller, T.: Full search content independent block matching based on the fast Fourier transform. In: IEEE International Conference on Image Processing, Rochester (2002)Google Scholar
- 42.Nakajima, N.: Blind deconvolution using the maximum likelihood estimation and the iterative algorithm. Opt. Commun. 100, 59–66 (1993)CrossRefGoogle Scholar
- 43.Richardson, W.H.: Bayesian-based iterative method of image restoration. J. Opt. Soc. Am. 62, 55–59 (1972)CrossRefGoogle Scholar
- 44.Banham, M.R., Katsaggelos, A.K.: Digital image restoration. IEEE Signal Process. Mag. 14(2), 24–41 (1997)CrossRefGoogle Scholar
- 45.Farsiu,S., Robinson, D., Elad, M., Milanfar, P.: Robust shift and add approach to super-resolution. In: Proceedings of the 2003 SPIE Conference on Applications of Digital Signal and Image Processing, pp. 121–130 (2003)Google Scholar
- 46.Tsumuraya, F., Miura, N., Baba, N.: Iterative blind deconvolution method using Lucy’s algorithm. Astron. Astrophys. 282, 699–708 (1994)Google Scholar