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 *\u0404<\/em>= An <\/em>into the solving of the equations X+A*X-1A=I , and propose an inverse iterative method.<\/p>\r\n","references":"[1] B. L. Buzbee, G. H. Golub, C. W. Nielson, On direct methods for\r\nsolving Poisson-s equations, SIAM J. Numer. Anal. 7(1970) 627-656.\r\n[2] Tsai, Huang. Multiframes image resolution and registration [J]. In\r\nadvances in Computer Vision and Image Processing, 1984, (I),\r\n317-319.\r\n[3] N.Goldberg, A.Feuer, and G.C.Goodwin, Super-resolution\r\nreconstruction using spatio-temporal filtering, J.Vis.Commun.Image\r\nR.14(2003)508-525.\r\n[4] Ce'line Mancas-Thillou, Majid Mirmehdi, Super-resolution Text using\r\nthe Teager Filter, First International Workshop on\r\nCamera-Based Document Analysis and Recognition, 2005.\r\n[5] Alam MS, Bognar JG ,Hardie RC, Yasuda BJ, Infrared image\r\nregistration and high-resolution reconstruction using multiple\r\ntranslationally shifted aliased video frames. IEEE Transactions on\r\nInstrumentation and Measurement, 2000, 49(5):915~923.\r\n[6] Hardie RC, Barnard KJ, Armstrong EE. Joint MAP registration and\r\nhigh-resolution image estimation using a sequence of under sampled\r\nimages. IEEE Transaction on Image Processing,1997,6(12):\r\n1621~1633\r\n[7] Sean Borman, Robert StevensonSpatial, Resolution Enhancement of\r\nLow-Resolution Image Sequences A Comprehensive Review with\r\nDirections for Future Research, 1998.\r\n[8] C Srinivas, M D Srinath.A stochastic model-based approach for\r\nsimultaneous restoration of multiple miss-registered images\r\n(A)..SPIE(C).US, 1990, 1360:1416-1427\r\n[9] S Peleg, D Keren. Improving image resolution using subpixel motion\r\n[J]. Pattern Recognit .Letters., 1987,5(3):223-22\r\n[10] M K Ozkan, A M Tekalp, M I Sezan. POCS-based resolution of spacevarying\r\nblurred images (J).IEEE Transactions on Image Processing,\r\n1994, 3(7):450-454..\r\n[11] B C Tom, A K Katsaggelos. Reconstruction of a high-resolution image\r\nfrom registration and restoration of low-resolution images (A).In\r\nProceeding of IEEE International Conference on Image\r\nProcessing(C).Austin,TX:IEEE Press,1994,3:553-557.\r\n[12] R R Schultz, R L Stevenson. Improved definition video frame\r\nenhancement (A).In Proceeding International Conference on Acoustic,\r\nSpeech, Signal Processing(C).Detroit, Michigan: IEEE Press, 1995,\r\n4:2169-2172.\r\n[13] A J Patti, M I Sezan. Super-resolution video reconstruction with\r\narbitrary sampling lattices and nonzero aperture time (J).IEEE\r\nTransactions on Images Processing, 1997,6(8):1064-1076.\r\n[14] Salah M.El-Sayed, Andre C.M.Ran, On an iteration methods for\r\nsolving a class of nonlinear matrix equations,SIAM J. Matrix\r\nAnal.Appl. 23(2001)632-645.\r\n[15] M Elad, A Feuer. Restoration of a single superresolution image from\r\nseveral blurred, noise, and under sampled measured images (J).IEEE\r\nTransactions on Image Processing, 1997, 6(8):1646-1658.\r\n[16] N Nguyen. Numerical algorithms for superre solution (D), Ph. D.\r\ndissertation ,Stanford Univ.,Stanford,CA,2001.\r\n[17] N K Bose, S Lertrattanapanich, J. Koo. Advances in super resolution\r\nusing L-curve(A).In Proceeding IEEE International Symposium on\r\nCircuits Systems(C).IEEE Press,2001,2:433 -436\r\n[18] R Molina, M Vega, J Abad, A K. Katsaggelos. Parameter estimation in\r\nBayesian high-resolution image reconstruction with multisensors (J).\r\nIEEE Transactions on Image Processing, 2003, 12(12):1655-1667.\r\n[19] E S Lee,G Kang.Regularized adaptive high-resolution image\r\nreconstruction considering inaccurate subpixel registration[J]. IEEE\r\nTransactions on Image Processing, 2003,12(7):826-836\r\n[20] C M Leung,W S Lu.Multiple-parameter generalization of the tikhonov\r\n-miller regularization method for image restoration (A).In Proceedings\r\nof27th Annual A silomar Conference on Signals, Systems, and\r\nComputers(C).California, U.S.A.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 13, 2008"}*