Image restoration from a downsampled image by using the DCT

Signal Processing

Volumn 87, Issue 10, 2007, Pages 2370-2380

  Abe, Yoshinori ^a   Iiguni, Youji ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

Discrete cosine transform; High resolution image restoration; Lagrange multiplier method; Similar transformation

Indexed keywords

ADDITIVE NOISE; COMPUTER SIMULATION; DISCRETE COSINE TRANSFORMS; IMAGE RESOLUTION; LAGRANGE MULTIPLIERS; SIGNAL DISTORTION;

HIGH RESOLUTION IMAGE RESTORATION; OBSERVATION NOISE; SPARSE MATRIX REPRESENTATION;

IMAGE RECONSTRUCTION;

EID: 34249825469     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2007.03.010     Document Type: Article

References (19)

1. Park S.C., Park M.K., and Kang M.G. Super-resolution image reconstruction-A technical overview. Signal Process. Mag. 20 3 (2003) 21-36
2. Rhee S., and Kang M.G. Discrete cosine transform based regularized high-resolution image reconstruction algorithm. Opt. Eng. 38 8 (1999) 1348-1356
3. H. Sakane, K. Nishikawa, H. Kiya, A super-resolution method based on the discrete cosine transforms, Eusipco'96, 1996.
4. Hardie R.C., Barnard K.J., Bognar J.G., Armstrong E.E., and Watson E.A. High-resolution image reconstruction from a sequence of rotated and translated frames and its application to an infrared imaging system. Opt. Eng. 37 1 (January 1998) 247-260
5. Shin J.H., Jung J.H., and Paik J.K. Regularized iterative image interpolation and its application to spatially scalable coding. IEEE Trans. Consum. Electron. 44 3 (August 1998) 1042-1047
6. Unser M., Aldroubi A., and Eden M. Enlargement or reduction of digital images with minimum loss of information. IEEE Trans. Image Process. 4 3 (March 1995) 247-258
7. Unser M., Aldroubi A., and Eden M. Polynomial spline signal approximations: filter design and asymptotic equivalence with Shannon's sampling theorem. IEEE Trans. Inform. Theory 38 1 (1992) 95-103
8. Thévenaz P., Blu T., and Unser M. Image interpolation and resampling. In: Bankman I.N. (Ed). Handbook of Medical Imaging, Processing and Analysis (2000), Academic Press, San Diego CA, USA 393-420
9. Martucci S.A. Image resizing in the discrete cosine transform domain. ICIP'95 vol. 2 (1995) 224-227
10. Shinbori E., and Takagi M. High quality magnification applying the Gerchberg-Papoulis iterative algorithm with DCT. Trans. IEICE J76-D 9 (September 1993) 1932-1940
11. El-Khamy S.E., Hadhoud M.M., Dessouky M.I., Salam B.M., and Abd El-Samie F.E. Efficient implementation of image interpolation as an inverse problem. Digit. Signal Process. 15 (2005) 137-152
12. Ng M., and Bose N. Mathematical analysis of super-resolution methodology. IEEE Signal Process. Mag. 20 3 (May 2003) 62-74
13. Chen L., and Yap K. Regularized interpolation using Kronecker product for still images. ICIP 2005 vol. 2 (2005) pp. II-1014-1017
14. Rosenfeld A., and Kak A.C. Digital Picture Processing (1976), Academic Press, New York
15. Horiike K., Yoshida Y., and Fujita K. Image restoration based on a Wiener filtering technique using discrete cosine transform. Syst. Comput. Japan (SCJAEP) 27 13 (1996) 23-35
16. El-Khamy S.E., Hadhoud M.M., Dessouky M.I., Salam B.M., and Abd El-Samie F.E. Sectioned implementation of regularized image interpolation. Proceedings of the 46th IEEE International Midwest Symposium on Circuits and Systems (MWSCAS '03) vol. 2 (2003) 656-659
17. Hunt B.R. The application of constrained least squares estimation to image restoration by digital computer. IEEE Trans. Comput. C-22 9 (1973) 805-812
18. Soon I.Y., Koh S.N., and Yeo C.K. Noisy speech enhancement using discrete cosine transform. Speech Comm. 24 (1998) 249-257
19. O'Sullivan F. Discretized Laplacian smoothing by Fourier methods. J. Amer. Statist. Assoc. 86 (September 1991) 634-642