{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,26]],"date-time":"2024-06-26T13:08:26Z","timestamp":1719407306124},"reference-count":72,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"1","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Signal Process."],"published-print":{"date-parts":[[2000]]},"DOI":"10.1109\/78.815483","type":"journal-article","created":{"date-parts":[[2002,8,24]],"date-time":"2002-08-24T19:31:03Z","timestamp":1030217463000},"page":"102-132","source":"Crossref","is-referenced-by-count":26,"title":["A wreath product group approach to signal and image processing .I. Multiresolution analysis"],"prefix":"10.1109","volume":"48","author":[{"given":"R.","family":"Foote","sequence":"first","affiliation":[]},{"given":"G.","family":"Mirchandani","sequence":"additional","affiliation":[]},{"given":"D.N.","family":"Rockmore","sequence":"additional","affiliation":[]},{"given":"D.","family":"Healy","sequence":"additional","affiliation":[]},{"given":"T.","family":"Olson","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1080\/00268977000101811"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(78)90179-1"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1109\/79.252866"},{"key":"ref39","first-page":"179","article-title":"filtering in a communication channel by fourier transforms over finite groups","author":"karpovsky","year":"1985","journal-title":"Spectral Techniques and Fault Detection"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/78.506606"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.1996.543670"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.1996.550803"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.2307\/3211873"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1063\/1.526761"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1007\/BF02649102"},{"key":"ref36","author":"holmes","year":"1987","journal-title":"Mathematical foundations of signal processing II"},{"key":"ref35","doi-asserted-by":"crossref","DOI":"10.21236\/ADA221129","author":"holmes","year":"1990","journal-title":"Signal processing on finite groups"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1007\/s00041-003-0018-9"},{"key":"ref60","author":"silberger","year":"1979","journal-title":"Introduction to Harmonic Analysis on Reductive P-Adic Groups"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1109\/18.556667"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1109\/18.119725"},{"key":"ref28","first-page":"35","article-title":"fractal image compression using iterated transforms","author":"fisher","year":"0","journal-title":"Image and Text Compression"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1109\/DSP.1994.379865"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511662324"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4120-1_18"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1109\/83.544571"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1006\/acha.1994.1001"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1016\/0165-1684(84)90002-1"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1109\/78.127954"},{"key":"ref68","article-title":"special functions and the theory of group representations","volume":"22","author":"vilenkin","year":"1968","journal-title":"Transl Math Monographs"},{"key":"ref69","first-page":"1999","article-title":"alternative norms for image compression and imaging with reduced encodes, (abstract)","author":"weaver","year":"1997","journal-title":"Proc Soc Magn Resonance"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-1979-14686-X"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1970.1054420"},{"key":"ref20","first-page":"344","article-title":"computing fourier transforms and convolutions on the 2-sphere","author":"driscoll","year":"1989","journal-title":"Proc 34th IEEE FOCS"},{"key":"ref22","author":"dummit","year":"1999","journal-title":"Abstract Algebra"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1137\/S0097539792240121"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/1049-9652(91)90037-K"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1137\/0733082"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0395-7"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/ROBOT.1996.503586"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1109\/78.824670"},{"key":"ref51","first-page":"351","article-title":"platonic, orthonormal wavelets","volume":"4","author":"\u00d6zaydin ozaydin","year":"1997","journal-title":"ACHA"},{"key":"ref59","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-9458-7","author":"serre","year":"1977","journal-title":"Linear Representations of Finite Groups"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1109\/TCT.1953.1085206"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1145\/358826.358836"},{"key":"ref56","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1090\/dimacs\/028\/19","article-title":"applications of generalized ffts","volume":"28","author":"rockmore","year":"1997","journal-title":"DIMACS Series in Discrete Mathematics and Theoretical Computer Science"},{"key":"ref55","article-title":"object enhancement and extraction","author":"prewitt","year":"1970","journal-title":"Picture Processing and Psychopictories"},{"key":"ref54","first-page":"497","author":"pratt","year":"1991","journal-title":"Digital Image Processing"},{"key":"ref53","author":"pontrjagin","year":"1966","journal-title":"Topological Groups"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1109\/78.599956"},{"key":"ref10","author":"blahut","year":"1991","journal-title":"Algebraic Methods for Signal Processing and Communications Coding"},{"key":"ref40","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0067943","volume":"240 495","author":"kerber","year":"1971","journal-title":"Representations of Permutations Groups I II"},{"key":"ref11","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":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/T-C.1971.223291"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/51.464774"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.1998.678145"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/70.660856"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1965-0178586-1"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/78.564173"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176347251"},{"key":"ref19","doi-asserted-by":"crossref","DOI":"10.1214\/lnms\/1215467407","author":"diaconis","year":"1988","journal-title":"Group Representations in Probability and Statistics"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-47.1.69"},{"key":"ref3","author":"bailey","year":"0","journal-title":"A spectral analysis approach to data on designs"},{"key":"ref6","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0096321","volume":"1621","author":"bass","year":"1996","journal-title":"Cyclic Renormalization and Automorphism Groups of Rooted Trees"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1063\/1.440527"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/BF01826247"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-97-00219-1"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1006\/aima.1994.1002"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01826248"},{"key":"ref46","first-page":"69","article-title":"multiresolution approximations and wavelet orthonormal bases of $l^2({\\mbi{r}})$<\/tex><\/formula>","volume":"315","author":"mallat","year":"1989","journal-title":"Trans Amer Math Soc"},{"key":"ref45","first-page":"317","article-title":"codes and ideals in group algebras","author":"macwilliams","year":"1969","journal-title":"Combinatorial Mathematics and its Applications"},{"key":"ref48","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1090\/dimacs\/028\/13","article-title":"generalized ffts","volume":"28","author":"maslen","year":"1997","journal-title":"DIMACS Series in Discrete Mathematics and Theoretical Computer Science"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1007\/BF02475926"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1145\/258533.258575"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1006\/cviu.1999.0745"},{"key":"ref44","volume":"413","author":"lenz","year":"1987","journal-title":"Group Theoretical Methods in Image Processing"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.1993.319773"}],"container-title":["IEEE Transactions on Signal Processing"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/78\/17671\/00815483.pdf?arnumber=815483","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,5]],"date-time":"2024-01-05T16:43:02Z","timestamp":1704472982000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/815483\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000]]},"references-count":72,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1109\/78.815483","relation":{},"ISSN":["1053-587X"],"issn-type":[{"value":"1053-587X","type":"print"}],"subject":[],"published":{"date-parts":[[2000]]}}}