{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,1,17]],"date-time":"2024-01-17T23:44:20Z","timestamp":1705535060107},"reference-count":16,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2006,3]]},"abstract":"<jats:p> This paper presents a wavelet-based computationally efficient implementation of the Linear Minimum Mean Square Error (LMMSE) algorithm in image super-resolution. The image super-resolution reconstruction problem is well-known to be an ill-posed inverse problem of large dimensions. The LMMSE estimator to be implemented in the image super-resolution reconstruction problem requires an inversion of a very large dimension matrix, which is practically impossible. Our suggested implementation is based on breaking the problem into four consecutive steps, a registration step, a multi-channel LMMSE restoration step, a wavelet-based image fusion step and an LMMSE image interpolation step. The objective of the wavelet fusion step is to integrate the data obtained from each observation into a single image, which is then interpolated to give a high-resolution image. The paper explains the implementation of each step. The proposed implementation has succeeded in obtaining a high-resolution image from multiple degraded observations with a high PSNR. The computation time of the suggested implementation is small when compared to traditional iterative image super-resolution algorithms. <\/jats:p>","DOI":"10.1142\/s0219691306001129","type":"journal-article","created":{"date-parts":[[2006,3,20]],"date-time":"2006-03-20T11:38:13Z","timestamp":1142854693000},"page":"105-118","source":"Crossref","is-referenced-by-count":14,"title":["WAVELET FUSION: A TOOL TO BREAK THE LIMITS ON LMMSE IMAGE SUPER-RESOLUTION"],"prefix":"10.1142","volume":"04","author":[{"given":"S. E.","family":"EL-KHAMY","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, Faculty of Engineering, Alexandria University, Alexandria 21544, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. M.","family":"HADHOUD","sequence":"additional","affiliation":[{"name":"Department of Information Technology, Faculty of Computers and Information, Menoufia University 32511, Shebin Elkom, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. I.","family":"DESSOUKY","sequence":"additional","affiliation":[{"name":"Department of Electronics and Electrical Communications, Faculty of Electronic Engineering, Menoufia University 32952, Menouf, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B. M.","family":"SALAM","sequence":"additional","affiliation":[{"name":"Department of Electronics and Electrical Communications, Faculty of Electronic Engineering, Menoufia University 32952, Menouf, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"F. E. ABD","family":"EL-SAMIE","sequence":"additional","affiliation":[{"name":"Department of Electronics and Electrical Communications, Faculty of Electronic Engineering, Menoufia University 32952, Menouf, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1109\/29.56062"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1109\/83.242363"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2003.1203207"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1109\/83.650118"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1109\/83.624970"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2003.1203211"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1109\/83.913592"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1109\/83.748893"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2003.1203208"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2003.1203209"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2003.1203210"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1109\/29.21708"},{"key":"rf15","volume-title":"Two-Dimensional Signal and Image Processing","author":"Lim J. 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