{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T14:31:52Z","timestamp":1761661912070},"reference-count":29,"publisher":"Elsevier BV","issue":"5","license":[{"start":{"date-parts":[[2003,5,1]],"date-time":"2003-05-01T00:00:00Z","timestamp":1051747200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Signal Processing"],"published-print":{"date-parts":[[2003,5]]},"DOI":"10.1016\/s0165-1684(02)00498-x","type":"journal-article","created":{"date-parts":[[2003,3,26]],"date-time":"2003-03-26T00:21:05Z","timestamp":1048638065000},"page":"941-955","source":"Crossref","is-referenced-by-count":22,"title":["Orthogonal discrete periodic Radon transform. Part I: theory and realization"],"prefix":"10.1016","volume":"83","author":[{"given":"Daniel P.K.","family":"Lun","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"T.C.","family":"Hsung","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"T.W.","family":"Shen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"issue":"2","key":"10.1016\/S0165-1684(02)00498-X_BIB1","doi-asserted-by":"crossref","first-page":"162","DOI":"10.1109\/TASSP.1987.1165108","article-title":"Discrete Radon transform","volume":"35","author":"Beylkin","year":"1987","journal-title":"IEEE Trans. ASSP"},{"key":"10.1016\/S0165-1684(02)00498-X_BIB2","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1090\/conm\/063\/876312","article-title":"The finite Radon transform","volume":"63","author":"Bolker","year":"1987","journal-title":"Contemp. Math."},{"key":"10.1016\/S0165-1684(02)00498-X_BIB3","series-title":"The Radon Transforms and Some of its Applications","author":"Deans","year":"1983"},{"key":"10.1016\/S0165-1684(02)00498-X_BIB4","doi-asserted-by":"crossref","unstructured":"M.N. Do, M. Vetterli, Orthonormal finite ridgelet transform for image compression, Proceedings of the IEEE ICIP\u20192000, Vancouver, BC, Vol. 2, 2000, pp. 367\u2013370.","DOI":"10.1109\/ICIP.2000.899394"},{"issue":"7","key":"10.1016\/S0165-1684(02)00498-X_BIB5","doi-asserted-by":"crossref","first-page":"1036","DOI":"10.1109\/29.1627","article-title":"A new efficient algorithm to compute the two-dimensional discrete Fourier transform","volume":"36","author":"Gertner","year":"1988","journal-title":"IEEE Trans. ASSP"},{"issue":"11","key":"10.1016\/S0165-1684(02)00498-X_BIB6","doi-asserted-by":"crossref","first-page":"1265","DOI":"10.1109\/TC.1987.5009467","article-title":"VLSI architectures for multidimensional Fourier transform processing","volume":"36","author":"Gertner","year":"1987","journal-title":"IEEE Trans. Comput."},{"key":"10.1016\/S0165-1684(02)00498-X_BIB7","doi-asserted-by":"crossref","unstructured":"I. Gertner, R. Tolimieri, Fast algorithms to compute multidimensional discrete Fourier transform, Proceedings of the SPIE: Real Time Signal Processing XII, San Diego, CA, Vol. 1154, 1989, pp. 132\u2013146.","DOI":"10.1117\/12.962379"},{"issue":"10","key":"10.1016\/S0165-1684(02)00498-X_BIB8","doi-asserted-by":"crossref","first-page":"2651","DOI":"10.1109\/78.539055","article-title":"The discrete periodic Radon transform","volume":"44","author":"Hsung","year":"1996","journal-title":"IEEE Trans. Signal Process."},{"key":"10.1016\/S0165-1684(02)00498-X_BIB9","unstructured":"C. Jordan, Traite des substitutions et des equations algebriques, Gauthier-Villars, Paris, 1870."},{"issue":"1","key":"10.1016\/S0165-1684(02)00498-X_BIB10","doi-asserted-by":"crossref","first-page":"272","DOI":"10.1109\/78.365307","article-title":"A new approach for computing multidimensional DFTs on parallel machines and its implementation on the iPSC7860 Hypercube","volume":"43","author":"Kechriotis","year":"1995","journal-title":"IEEE Trans. Signal Process."},{"issue":"3","key":"10.1016\/S0165-1684(02)00498-X_BIB11","doi-asserted-by":"crossref","first-page":"382","DOI":"10.1109\/83.236530","article-title":"The fast discrete Radon transform\u2014I: Theory","volume":"2","author":"Kelly","year":"1993","journal-title":"IEEE Trans. Image Process."},{"key":"10.1016\/S0165-1684(02)00498-X_BIB12","unstructured":"V.G. Labunets, Superfast multidimensional Fourier-Radon Transforms and multidimensional convolutions, in: Statistical Methods of Signal Processing, Vol. IX, All Union Seminar on Information Theory, Char'kov, 1985, pp. 140\u2013142 (in Russian)."},{"key":"10.1016\/S0165-1684(02)00498-X_BIB13","unstructured":"V.G. Labunets, Fast Mersereau\u2013Radon transform, in: Numerical Methods in Control, Radar and Communication, Ural Polytechnical Institute Press, Svrdlovsk, 1986, pp. 152\u2013163 (in Russian)."},{"key":"10.1016\/S0165-1684(02)00498-X_BIB14","unstructured":"V.G. Labunets, Algebraic Theory of Signals and Systems. Part II. Fast Multidimensional Fourier and Radon Transforms, Ural State University Press, Sverdlovsk, 1989 (in Russian)."},{"key":"10.1016\/S0165-1684(02)00498-X_BIB15","doi-asserted-by":"crossref","unstructured":"E.V. Labunets, V.G. Labunets, K. Egiazarian, J. Astola, New fast algorithms of multidimensional Fourier and Radon discrete transforms, Proceedings of the IEEE ICASSP\u201999, Phoenix, AZ, Vol. 6, 1999, pp. 3193\u20133196.","DOI":"10.1109\/ICASSP.1999.757520"},{"key":"10.1016\/S0165-1684(02)00498-X_BIB16","doi-asserted-by":"crossref","unstructured":"D.P.K. Lun, T.C. Hsung, D.D. Feng, Efficient blind blur identification using discrete periodic Radon transform, Proceedings of the International Symposium on Intelligent Multimedia, Video and Speech Processing, Hong Kong, 2001, pp. 79\u201382.","DOI":"10.1109\/ISIMP.2001.925336"},{"key":"10.1016\/S0165-1684(02)00498-X_BIB17","doi-asserted-by":"crossref","unstructured":"D.P.K. Lun, T.C. Hsung, T.W. Shen, Orthogonal discrete periodic Radon transform. Part II: applications, Signal Processing 83 (5) (2003), following paper.","DOI":"10.1016\/S0165-1684(02)00499-1"},{"key":"10.1016\/S0165-1684(02)00498-X_BIB18","doi-asserted-by":"crossref","unstructured":"D.P.K. Lun, T.C. Hsung, W.C. Siu, On the convolution property of a new discrete Radon transform and its efficient inversion algorithm, Proceedings of the IEEE ISCAS\u201995, Seattle, WA, 1995, pp. 1892\u20131895.","DOI":"10.1109\/ISCAS.1995.523787"},{"key":"10.1016\/S0165-1684(02)00498-X_BIB19","doi-asserted-by":"crossref","unstructured":"D.P.K. Lun, W.C. Siu, An improved fast Radon algorithm for two-dimensional discrete Fourier and Hartley transform, Proceedings of the 1992 IEEE International Symposium on Circuits and Systems (ISCAS\u201992), San Diego, CA, Vol. 2, 1992, pp. 726\u2013729.","DOI":"10.1109\/ISCAS.1992.230149"},{"issue":"10","key":"10.1016\/S0165-1684(02)00498-X_BIB20","doi-asserted-by":"crossref","first-page":"996","DOI":"10.1109\/34.254058","article-title":"Image representation via a finite Radon transform","volume":"15","author":"Matus","year":"1993","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"6","key":"10.1016\/S0165-1684(02)00498-X_BIB21","doi-asserted-by":"crossref","first-page":"1496","DOI":"10.1109\/TSP.2002.1003072","article-title":"Fast algorithms of multidimensional discrete nonseparable K-wave transforms","volume":"50","author":"Rundblad","year":"2002","journal-title":"IEEE Trans. Signal Process."},{"key":"10.1016\/S0165-1684(02)00498-X_BIB22","series-title":"Radon and Projection Transform-Based Computer Vision","author":"Sanz","year":"1988"},{"key":"10.1016\/S0165-1684(02)00498-X_BIB23","unstructured":"T.W. Shen, Applications of the discrete Radon transform in image processing, M.Phil. Thesis, The Hong Kong Polytechnic University, 1998."},{"issue":"2","key":"10.1016\/S0165-1684(02)00498-X_BIB24","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/S0031-3203(97)00035-6","article-title":"On the efficient computation of 2-D image moments using the discrete Radon transform","volume":"31","author":"Shen","year":"1998","journal-title":"Pattern Recognition"},{"issue":"1","key":"10.1016\/S0165-1684(02)00498-X_BIB25","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1049\/el:19910053","article-title":"Fast computation of two-dimensional discrete cosine transforms using fast discrete Radon transform","volume":"27","author":"Ta","year":"1991","journal-title":"Electron. Lett."},{"key":"10.1016\/S0165-1684(02)00498-X_BIB26","series-title":"Mathematics of Multidimensional Fourier Transforms Algorithms, Signal Processing and Digital Filter series","author":"Tolimieri","year":"1997"},{"issue":"11","key":"10.1016\/S0165-1684(02)00498-X_BIB27","first-page":"1657","article-title":"The weighted redundancy transform","volume":"37","author":"Valis","year":"1989","journal-title":"IEEE Trans. ASSP"},{"issue":"8","key":"10.1016\/S0165-1684(02)00498-X_BIB28","doi-asserted-by":"crossref","first-page":"550","DOI":"10.1049\/el:19900358","article-title":"Fast discrete Radon transform and 2D discrete Fourier transform","volume":"25","author":"Yang","year":"1990","journal-title":"Electron. Lett."},{"key":"10.1016\/S0165-1684(02)00498-X_BIB29","unstructured":"D. Yang, Fast computation of two-dimensional Fourier transform using fast discrete Radon transform, IEEE Region 10 Conference on Computer and Communication Systems, Hong Kong, 1990, pp. 207\u2013210."}],"container-title":["Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S016516840200498X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S016516840200498X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,30]],"date-time":"2019-03-30T04:50:39Z","timestamp":1553921439000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S016516840200498X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,5]]},"references-count":29,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2003,5]]}},"alternative-id":["S016516840200498X"],"URL":"https:\/\/doi.org\/10.1016\/s0165-1684(02)00498-x","relation":{},"ISSN":["0165-1684"],"issn-type":[{"value":"0165-1684","type":"print"}],"subject":[],"published":{"date-parts":[[2003,5]]}}}