From a set of shifted, blurred, and decimated image , super-resolution image reconstruction can get a high-resolution image. So it has become an active research branch in the field of image restoration. In general, super-resolution image restoration is an ill-posed problem. Prior knowledge about the image can be combined to make the problem well-posed, which contributes to some regularization methods. In the regularization methods at present, however, regularization parameter was selected by experience in some cases and other techniques have too heavy computation cost for computing the parameter. In this paper, we construct a new super-resolution algorithm by transforming the solving of the System stem Є=An into the solving of the equations X+A*X-1A=I , and propose an inverse iterative method.
[1] B. L. Buzbee, G. H. Golub, C. W. Nielson, On direct methods for
solving Poisson-s equations, SIAM J. Numer. Anal. 7(1970) 627-656.
[2] Tsai, Huang. Multiframes image resolution and registration [J]. In
advances in Computer Vision and Image Processing, 1984, (I),
317-319.
[3] N.Goldberg, A.Feuer, and G.C.Goodwin, Super-resolution
reconstruction using spatio-temporal filtering, J.Vis.Commun.Image
R.14(2003)508-525.
[4] Ce'line Mancas-Thillou, Majid Mirmehdi, Super-resolution Text using
the Teager Filter, First International Workshop on
Camera-Based Document Analysis and Recognition, 2005.
[5] Alam MS, Bognar JG ,Hardie RC, Yasuda BJ, Infrared image
registration and high-resolution reconstruction using multiple
translationally shifted aliased video frames. IEEE Transactions on
Instrumentation and Measurement, 2000, 49(5):915~923.
[6] Hardie RC, Barnard KJ, Armstrong EE. Joint MAP registration and
high-resolution image estimation using a sequence of under sampled
images. IEEE Transaction on Image Processing,1997,6(12):
1621~1633
[7] Sean Borman, Robert StevensonSpatial, Resolution Enhancement of
Low-Resolution Image Sequences A Comprehensive Review with
Directions for Future Research, 1998.
[8] C Srinivas, M D Srinath.A stochastic model-based approach for
simultaneous restoration of multiple miss-registered images
(A)..SPIE(C).US, 1990, 1360:1416-1427
[9] S Peleg, D Keren. Improving image resolution using subpixel motion
[J]. Pattern Recognit .Letters., 1987,5(3):223-22
[10] M K Ozkan, A M Tekalp, M I Sezan. POCS-based resolution of spacevarying
blurred images (J).IEEE Transactions on Image Processing,
1994, 3(7):450-454..
[11] B C Tom, A K Katsaggelos. Reconstruction of a high-resolution image
from registration and restoration of low-resolution images (A).In
Proceeding of IEEE International Conference on Image
Processing(C).Austin,TX:IEEE Press,1994,3:553-557.
[12] R R Schultz, R L Stevenson. Improved definition video frame
enhancement (A).In Proceeding International Conference on Acoustic,
Speech, Signal Processing(C).Detroit, Michigan: IEEE Press, 1995,
4:2169-2172.
[13] A J Patti, M I Sezan. Super-resolution video reconstruction with
arbitrary sampling lattices and nonzero aperture time (J).IEEE
Transactions on Images Processing, 1997,6(8):1064-1076.
[14] Salah M.El-Sayed, Andre C.M.Ran, On an iteration methods for
solving a class of nonlinear matrix equations,SIAM J. Matrix
Anal.Appl. 23(2001)632-645.
[15] M Elad, A Feuer. Restoration of a single superresolution image from
several blurred, noise, and under sampled measured images (J).IEEE
Transactions on Image Processing, 1997, 6(8):1646-1658.
[16] N Nguyen. Numerical algorithms for superre solution (D), Ph. D.
dissertation ,Stanford Univ.,Stanford,CA,2001.
[17] N K Bose, S Lertrattanapanich, J. Koo. Advances in super resolution
using L-curve(A).In Proceeding IEEE International Symposium on
Circuits Systems(C).IEEE Press,2001,2:433 -436
[18] R Molina, M Vega, J Abad, A K. Katsaggelos. Parameter estimation in
Bayesian high-resolution image reconstruction with multisensors (J).
IEEE Transactions on Image Processing, 2003, 12(12):1655-1667.
[19] E S Lee,G Kang.Regularized adaptive high-resolution image
reconstruction considering inaccurate subpixel registration[J]. IEEE
Transactions on Image Processing, 2003,12(7):826-836
[20] C M Leung,W S Lu.Multiple-parameter generalization of the tikhonov
-miller regularization method for image restoration (A).In Proceedings
of27th Annual A silomar Conference on Signals, Systems, and
Computers(C).California, U.S.A.
[1] B. L. Buzbee, G. H. Golub, C. W. Nielson, On direct methods for
solving Poisson-s equations, SIAM J. Numer. Anal. 7(1970) 627-656.
[2] Tsai, Huang. Multiframes image resolution and registration [J]. In
advances in Computer Vision and Image Processing, 1984, (I),
317-319.
[3] N.Goldberg, A.Feuer, and G.C.Goodwin, Super-resolution
reconstruction using spatio-temporal filtering, J.Vis.Commun.Image
R.14(2003)508-525.
[4] Ce'line Mancas-Thillou, Majid Mirmehdi, Super-resolution Text using
the Teager Filter, First International Workshop on
Camera-Based Document Analysis and Recognition, 2005.
[5] Alam MS, Bognar JG ,Hardie RC, Yasuda BJ, Infrared image
registration and high-resolution reconstruction using multiple
translationally shifted aliased video frames. IEEE Transactions on
Instrumentation and Measurement, 2000, 49(5):915~923.
[6] Hardie RC, Barnard KJ, Armstrong EE. Joint MAP registration and
high-resolution image estimation using a sequence of under sampled
images. IEEE Transaction on Image Processing,1997,6(12):
1621~1633
[7] Sean Borman, Robert StevensonSpatial, Resolution Enhancement of
Low-Resolution Image Sequences A Comprehensive Review with
Directions for Future Research, 1998.
[8] C Srinivas, M D Srinath.A stochastic model-based approach for
simultaneous restoration of multiple miss-registered images
(A)..SPIE(C).US, 1990, 1360:1416-1427
[9] S Peleg, D Keren. Improving image resolution using subpixel motion
[J]. Pattern Recognit .Letters., 1987,5(3):223-22
[10] M K Ozkan, A M Tekalp, M I Sezan. POCS-based resolution of spacevarying
blurred images (J).IEEE Transactions on Image Processing,
1994, 3(7):450-454..
[11] B C Tom, A K Katsaggelos. Reconstruction of a high-resolution image
from registration and restoration of low-resolution images (A).In
Proceeding of IEEE International Conference on Image
Processing(C).Austin,TX:IEEE Press,1994,3:553-557.
[12] R R Schultz, R L Stevenson. Improved definition video frame
enhancement (A).In Proceeding International Conference on Acoustic,
Speech, Signal Processing(C).Detroit, Michigan: IEEE Press, 1995,
4:2169-2172.
[13] A J Patti, M I Sezan. Super-resolution video reconstruction with
arbitrary sampling lattices and nonzero aperture time (J).IEEE
Transactions on Images Processing, 1997,6(8):1064-1076.
[14] Salah M.El-Sayed, Andre C.M.Ran, On an iteration methods for
solving a class of nonlinear matrix equations,SIAM J. Matrix
Anal.Appl. 23(2001)632-645.
[15] M Elad, A Feuer. Restoration of a single superresolution image from
several blurred, noise, and under sampled measured images (J).IEEE
Transactions on Image Processing, 1997, 6(8):1646-1658.
[16] N Nguyen. Numerical algorithms for superre solution (D), Ph. D.
dissertation ,Stanford Univ.,Stanford,CA,2001.
[17] N K Bose, S Lertrattanapanich, J. Koo. Advances in super resolution
using L-curve(A).In Proceeding IEEE International Symposium on
Circuits Systems(C).IEEE Press,2001,2:433 -436
[18] R Molina, M Vega, J Abad, A K. Katsaggelos. Parameter estimation in
Bayesian high-resolution image reconstruction with multisensors (J).
IEEE Transactions on Image Processing, 2003, 12(12):1655-1667.
[19] E S Lee,G Kang.Regularized adaptive high-resolution image
reconstruction considering inaccurate subpixel registration[J]. IEEE
Transactions on Image Processing, 2003,12(7):826-836
[20] C M Leung,W S Lu.Multiple-parameter generalization of the tikhonov
-miller regularization method for image restoration (A).In Proceedings
of27th Annual A silomar Conference on Signals, Systems, and
Computers(C).California, U.S.A.
@article{"International Journal of Information, Control and Computer Sciences:51161", author = "Xueting Liu and Daojin Song and Chuandai Dong and Hongkui Li", title = "MAP-Based Image Super-resolution Reconstruction", abstract = "From a set of shifted, blurred, and decimated image , super-resolution image reconstruction can get a high-resolution image. So it has become an active research branch in the field of image restoration. In general, super-resolution image restoration is an ill-posed problem. Prior knowledge about the image can be combined to make the problem well-posed, which contributes to some regularization methods. In the regularization methods at present, however, regularization parameter was selected by experience in some cases and other techniques have too heavy computation cost for computing the parameter. In this paper, we construct a new super-resolution algorithm by transforming the solving of the System stem Є=An into the solving of the equations X+A*X-1A=I , and propose an inverse iterative method.
", keywords = "High-resolution MAP image, Reconstruction, Image interpolation, Motion Estimation, Hermitian positive definite solutions.", volume = "2", number = "1", pages = "54-4", }
