@inproceedings{Banham1992,
abstract = {In this paper, we develop a multichannel formulation of a single channel filtering problem in the wavelet domain. This technique is based on an orthogonal matrix representation of the 2-D separable wavelet transform. We show that semi-block circulant (SBC) structures resulting from a similarity transformation with this matrix operator permit a multichannel treatment of a noisy blurred image, yielding an adaptive restoration technique in the wavelet frequency domain. This work presents a new formulation of the 2-D separable wavelet decomposition that clearly produces matrices which may be block-diagonalized with an array Fourier transform. The method described here is a new tool, which builds on multichannel image restoration techniques developed in the past, but uses these ideas in the context of a single channel image, and offers much potential for improved adaptive image restoration in the wavelet domain.},
author = {Banham, M.R. and Galatsanos, N.P. and Katsaggelos, A.K. and Gonzalez, Hector},
booktitle = {[Proceedings] 1992 IEEE International Conference on Systems, Man, and Cybernetics},
doi = {10.1109/ICSMC.1992.271518},
isbn = {0-7803-0720-8},
issn = {1062922X},
pages = {1558--1563},
publisher = {IEEE},
title = {{Restoration of single-channel images with multi-channel filtering in the wavelet domain}},
url = {http://ieeexplore.ieee.org/document/271518/},
volume = {1992-Janua},
year = {1992}
}

{"_id":"Xd4uCJkSATAAu9myP","bibbaseid":"banham-galatsanos-katsaggelos-gonzalez-restorationofsinglechannelimageswithmultichannelfilteringinthewaveletdomain-1992","author_short":["Banham, M.","Galatsanos, N.","Katsaggelos, A.","Gonzalez, H."],"bibdata":{"bibtype":"inproceedings","type":"inproceedings","abstract":"In this paper, we develop a multichannel formulation of a single channel filtering problem in the wavelet domain. This technique is based on an orthogonal matrix representation of the 2-D separable wavelet transform. We show that semi-block circulant (SBC) structures resulting from a similarity transformation with this matrix operator permit a multichannel treatment of a noisy blurred image, yielding an adaptive restoration technique in the wavelet frequency domain. This work presents a new formulation of the 2-D separable wavelet decomposition that clearly produces matrices which may be block-diagonalized with an array Fourier transform. The method described here is a new tool, which builds on multichannel image restoration techniques developed in the past, but uses these ideas in the context of a single channel image, and offers much potential for improved adaptive image restoration in the wavelet domain.","author":[{"propositions":[],"lastnames":["Banham"],"firstnames":["M.R."],"suffixes":[]},{"propositions":[],"lastnames":["Galatsanos"],"firstnames":["N.P."],"suffixes":[]},{"propositions":[],"lastnames":["Katsaggelos"],"firstnames":["A.K."],"suffixes":[]},{"propositions":[],"lastnames":["Gonzalez"],"firstnames":["Hector"],"suffixes":[]}],"booktitle":"[Proceedings] 1992 IEEE International Conference on Systems, Man, and Cybernetics","doi":"10.1109/ICSMC.1992.271518","isbn":"0-7803-0720-8","issn":"1062922X","pages":"1558–1563","publisher":"IEEE","title":"Restoration of single-channel images with multi-channel filtering in the wavelet domain","url":"http://ieeexplore.ieee.org/document/271518/","volume":"1992-Janua","year":"1992","bibtex":"@inproceedings{Banham1992,\nabstract = {In this paper, we develop a multichannel formulation of a single channel filtering problem in the wavelet domain. This technique is based on an orthogonal matrix representation of the 2-D separable wavelet transform. We show that semi-block circulant (SBC) structures resulting from a similarity transformation with this matrix operator permit a multichannel treatment of a noisy blurred image, yielding an adaptive restoration technique in the wavelet frequency domain. This work presents a new formulation of the 2-D separable wavelet decomposition that clearly produces matrices which may be block-diagonalized with an array Fourier transform. The method described here is a new tool, which builds on multichannel image restoration techniques developed in the past, but uses these ideas in the context of a single channel image, and offers much potential for improved adaptive image restoration in the wavelet domain.},\nauthor = {Banham, M.R. and Galatsanos, N.P. and Katsaggelos, A.K. and Gonzalez, Hector},\nbooktitle = {[Proceedings] 1992 IEEE International Conference on Systems, Man, and Cybernetics},\ndoi = {10.1109/ICSMC.1992.271518},\nisbn = {0-7803-0720-8},\nissn = {1062922X},\npages = {1558--1563},\npublisher = {IEEE},\ntitle = {{Restoration of single-channel images with multi-channel filtering in the wavelet domain}},\nurl = {http://ieeexplore.ieee.org/document/271518/},\nvolume = {1992-Janua},\nyear = {1992}\n}\n","author_short":["Banham, M.","Galatsanos, N.","Katsaggelos, A.","Gonzalez, H."],"key":"Banham1992","id":"Banham1992","bibbaseid":"banham-galatsanos-katsaggelos-gonzalez-restorationofsinglechannelimageswithmultichannelfilteringinthewaveletdomain-1992","role":"author","urls":{"Paper":"http://ieeexplore.ieee.org/document/271518/"},"metadata":{"authorlinks":{}}},"bibtype":"inproceedings","biburl":"https://sites.northwestern.edu/ivpl/files/2023/06/IVPL_Updated_publications-1.bib","dataSources":["ePKPjG8C6yvpk4mEK","37Qfzv6wRptYkoSCL","zFPgsTDAW8aDnb5iN","E6Bth2QB5BYjBMZE7","nbnEjsN7MJhurAK9x","PNQZj6FjzoxxJk4Yi","7FpDWDGJ4KgpDiGfB","bod9ms4MQJHuJgPpp","QR9t5P2cLdJuzhfzK","D8k2SxfC5dKNRFgro","7Dwzbxq93HWrJEhT6","qhF8zxmGcJfvtdeAg","fvDEHD49E2ZRwE3fb","H7crv8NWhZup4d4by","DHqokWsryttGh7pJE","vRJd4wNg9HpoZSMHD","sYxQ6pxFgA59JRhxi","w2WahSbYrbcCKBDsC","XasdXLL99y5rygCmq","3gkSihZQRfAD2KBo3","t5XMbyZbtPBo4wBGS","bEpHM2CtrwW2qE8FP","teJzFLHexaz5AQW5z"],"keywords":[],"search_terms":["restoration","single","channel","images","multi","channel","filtering","wavelet","domain","banham","galatsanos","katsaggelos","gonzalez"],"title":"Restoration of single-channel images with multi-channel filtering in the wavelet domain","year":1992}