Super-resolution image restoration from blurred low-resolution images

Journal of Mathematical Imaging and Vision

Volumn 23, Issue 3, 2005, Pages 367-378

  Ng, Michael K ^a   Yau, Andy C ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

High resolution; Image restoration; Preconditioned conjugate gradient method; Regularization

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; ESTIMATION; GRADIENT METHODS; IMAGE ANALYSIS; MARKOV PROCESSES; OPTICAL RESOLVING POWER;

HIGH-RESOLUTION; IMAGE FRAMES; PRECONDITIONED CONJUGATE GRADIENT METHOD; REGULARIZATION;

IMAGE RECONSTRUCTION;

EID: 24944464196     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10851-005-2028-5     Document Type: Article

References (45)

1. H. Andrew and B. Hunt, Digital Image Restoration, Prentice-Hall, New Jersey, 1977.
2. B. Bascle, A. Blake, and A. Zissermann, "Motion deblurring and super-resolution from an image sequence," in Proc. of European Conf. on Computer Vision, Cambridge, UK, Springer-Verlag: Berlin, 1996.
3. N.K. Bose and K.J. Boo, "High-resolution image reconstruction with multisensors," International Journal of Imaging Systems and Technology, Vol. 9, pp. 294-304, 1998.
4. N.K. Bose and K. Boo, "Asymptotic eigenvalue distribution of block-toeplitz matrices," IEEE Trans. on Information Theory, Vol. 44, No. 2, pp. 858-861, 1998.
5. N.K. Bose, H. Kim, and H. Valenzuela, "Recursive total least squares algorithm for image reconstruction from noisy undersampled frames," Multidimensional Systems and Signal Processing, Vol. 4, No. 3, pp. 253-268, 1993.
6. N.K. Bose, H. Kim and B. Zhou, "Performance analysis of the TLS algorithm for image reconstruction from a sequence of undersampled noisy and blurred frames," International Conference on Image Processing (ICIP '94), Austin, Texas, November 13-16, pp. 571-575, 1994.
7. N.K. Bose and S. Lertrattanapanich, "Advances in wavelet superresolution," in Proceedings of International Conference on Sampling Theory and Application SAMPTA 2001, May 13-17, 2001, pp. 5-12.
8. R.H. Chan and M. K. Ng, "Conjugate gradient method for Toeplitz system," SIAM Review, Vol. 38, pp. 427-482, 1996.
9. D. Kammler, A First Course in Fourier Analysis, Prentice Hall, 2000.
10. M. Elad and A. Feuer, "Resolution of single superresolution image from several blurred, noisy and undersampled measured images," IEEE Trans. on Image Proc., Vol. 6, pp. 1646-1658, 1997.
11. M. Elad and A. Feuer, "Superresolution restoration of an image sequence: Adaptive filtering approach," IEEE Trans. on Image Proc., Vol. 8, pp. 387-395, 1999.
12. M. Elad and Y. Hel-Or, "A fast superresolution reconstruction algorithm for pure translational motion and common space-invariant blur," IEEE Transaction on Image Processing, Vol. 10, pp. 1187-1193, 2001.
13. J. Gillete, T. Stadtmiller, and R. Hardie, "Aliasing reduction in staring infrared images using subpixel techniques," Optical Engineering, Vol. 34, pp. 3130-3137, 1995.
14. G. Golub and C. Van Loan, Matrix Computations, 2nd ed., The Johns Hopkins University Press, Baltimore, MD, 1989.
15. R. Gonzalez and R. Woods, Digital image processing, Addison Wesley, New York, 1992.
16. R. Hardie, K. Barnard, J. Bognar, E. Armstrong, and Edward A. Watson, "High-resolution image reconstruction from a sequence of rotated and translated frames and its application to an infrared imaging system," Optical Engineering, Vo. 37, pp. 247-260, 1998.
17. M. Irani and S. Peleg, "Improving resolution by image registration," CVGIP: Graphical Models and Image Processing, Vol. 53, pp. 231-239, 1991.
18. G. Jacquemod, C. Odet, and R. Goutte, "Image resolution enhancement using subpixel camera displacement," Signal Processing, Vol. 26, pp. 139-146, 1992.
19. S. Kim, N. K. Bose, and H. Valenzuela, "Recursive reconstruction of high resolution image from noisy undersampled multiframes," IEEE Trans. on Acoust., Speech, and Signal Process., Vol. 38, pp. 1013-1027, 1990.
20. S. Kim and N. K. Bose, "Reconstruction of 2-D bandlimited discrete signals from nonuniform samples," IEE Proceedings, Vol. 137, No. 3, Part F, pp. 197-203, 1990.
21. S. Kim and W. Su, "Recursive high-resolution reconstruction of blurred multiframe images," IEEE Trans. on Image Proc., Vol. 2, pp. 534-539, 1993.
22. P. Koeck, "Ins and outs of digital electron microscopy," Microscopy Research and Technique, Vol. 49, pp. 217-223, 2000.
23. T. Komatsu, K. Aizawa, T. Igarashi, and T. Saito, "Signal-processing based method for acquiring very high resolution images with multiple cameras and its theoretical analysis," IEE Proceedings, Vol. 140, No. 3, Part I, pp. 19-25, 1993.
24. S. Lertrattanapanich and N.K. Bose, "Latest results on high-resolution reconstruction from video sequences," Technical Report of IEICE, DSP99-140, The Institution of Electronic, Information and Communication Engineers, Japan, pp. 59-65, 1999.
25. S. Lertrattanapanich and N.K. Bose, "High resolution image formation from low resolution frames using delaunay triangulation," IEEE Transactions on Image Processing, Vol. 11, No. 12, 2002.
26. S. Mann and R. Picard, "Video orbits of the projective group: A simple approach to featureless estimation of parameters," IEEE Transactions on Image Processing, Vol. 6, pp. 1281-1295, 1997.
27. M. Ng and N.K. Bose, "Mathematical Analysis of Super-Resolution Methodology," IEEE Signal Processing Magazine, Vol. 20, pp. 49-61, 2003.
28. M. Ng, N.K. Bose and J. Koo, "Constrained total least squares computations for high resolution image reconstruction with multisensors," International Journal of Imaging Systems and Technology, Vol. 12, pp. 35-42, 2002.
29. M. Ng, R. Chan, and W. Tang, "A fast algorithm for deblurring models with neumann boundary conditions," SIAM J. Sci. Comput., Vol. 21, pp. 851-866, 1999.
30. M. Ng, R. Chan, T. Chan, and A. Yip, "Cosine transform preconditioners for high resolution image reconstruction," Linear Algebra & Its Appls., Vol. 316, pp. 89-104, 2000.
31. M. Ng and A. Yip, "A fast MAP algorithm for high-resolution image reconstruction with multisensors," Multidimensional Systems and Signal Processing, Vol. 12, No. 2, pp. 143-164, 2001.
32. N. Nguyen and P. Milanfar, "A wavelet-based interpolation- restoration method for superresolution (wavelet superresolution)," Circuits Systems Signal Processing, Vol. 19, No. 4, pp. 321-338, 2000.
33. N. Nguyen, P. Milanfar, and G. Golub, "Efficient generalized cross-validation with applications to parametric image restoratioin and resolution enhancement," IEEE Transactions on Image Processing, Vol. 10, pp. 1299-1308, 2001.
34. S. Park, M. Park and M. Kang, "Super-resolution image reconstruction: A technical overview," IEEE Signal Processing Magazine, Vol. 20, pp. 21-36, 2003.
35. A. Patti, M. Sezan, and A. Tekalp, "Superresolution video reconstruction with arbitrary sampling lattices and nonzero aperture time," IEEE Trans. on Image Proc., Vol. 6, pp. 1064-1076, 1997.
36. S. Peled and Y. Yeshurun, "Superresolution in MRI: Application to human white matter fiber tract visualization by diffusion tensor imaging," Magnetic Resonance in Medicine, Vol. 45, pp. 29-35, 2001.
37. L. Poletto and P. Nicolosi, "Enhancing the spatial resolution of a two-dimensional discrete array detector," Engineering, Vol. 38, pp. 1748-1757, 1999.
38. S. Rhee and M. Kang, "Discrete cosine transform based regularized high-resolution image reconstruction algorithm," Optical Engineering, Vol. 38, No. 8, pp. 1348-1356, 1999.
39. D. Rajan and S. Chaudhuri, "An MRF-based Approach to Generation of Super-Resoltuion Images from Blurred Observations," Journal of Mathematical Imaging and Vision, Vol. 16, pp. 5-15, 2002.
40. K. Sauer and J. Allebach, "Iterative Reconstruction of Band-limited Images from Nonuniformly Spaced Samples," IEEE Trans. on Circuits & Systems, Vol. 34, No. 12, pp. 1497-1506, 1987.
41. R. Schultz and R. Stevenson, "Extraction of high-resolution frames from video sequences," IEEE Trans. Image Proces., Vol. 5, pp. 996-1011, 1996.
42. H. Stark and P. Oskoui, "High-resolution image recovery from image-plane arrays using convex-projections," J. Opt. Soc. Amer. A, Vol. 6, pp. 1715-1726, 1989.
43. A. Tekalp, M. Ozkan, and M. Sezan, "Superresolution video reconstruction with arbitrary sampling lattices and non-zero aperture time," IEEE Trans. Image Proc., Vol. 6, pp. 1064-1076, 1997.
44. R. Tsai and T. Huang, "Multiframe image restoration and registration," Advances in Computer Vision and Image Processing: Image. Reconstruction from Incomplete Observations, Thomas S. Huang (Ed.), London, 1984, Vol. 1, pp. 317-339, JAI Press.
45. H. Ur and D. Gross, "Improved resolution from subpixel shifted pictures," CVGIP: Graphical Models and Image Processing, Vol. 54, No. 2, pp. 181-186, 1992.