{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T16:02:19Z","timestamp":1761580939221,"version":"3.38.0"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"12","license":[{"start":{"date-parts":[[2011,12,1]],"date-time":"2011-12-01T00:00:00Z","timestamp":1322697600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sci. China Inf. Sci."],"published-print":{"date-parts":[[2011,12]]},"DOI":"10.1007\/s11432-011-4330-8","type":"journal-article","created":{"date-parts":[[2011,12,3]],"date-time":"2011-12-03T12:43:10Z","timestamp":1322916190000},"page":"2602-2614","source":"Crossref","is-referenced-by-count":14,"title":["Perfect reconstruction image modulation based on BEMD and quaternionic analytic signals"],"prefix":"10.1007","volume":"54","author":[{"given":"LiHong","family":"Qiao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"KaiFu","family":"Niu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ning","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"LiZhong","family":"Peng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,12,3]]},"reference":[{"key":"4330_CR1","doi-asserted-by":"crossref","unstructured":"Nguyen C T, Havlicek J P. AM-FM Image Filters. In: Proceedings of IEEE International conference on Image Processing, San Diego, 2008. 789\u2013792","DOI":"10.1109\/ICIP.2008.4711873"},{"key":"4330_CR2","doi-asserted-by":"crossref","first-page":"1867","DOI":"10.1364\/JOSAA.12.001867","volume":"12","author":"P. Maragos","year":"1995","unstructured":"Maragos P, Bovik A C. Image demodulation using multidimensional energy separation. J Opt Soc Amer A, 1995, 12: 1867\u20131876","journal-title":"J Opt Soc Amer A"},{"key":"4330_CR3","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1109\/83.821736","volume":"9","author":"J. P. Havlicek","year":"2000","unstructured":"Havlicek J P, Harding D S, Bovik A C. Multidimensional quasi-eigenfunction approximations and multicomponent AM-FM models. IEEE Trans Image Proc, 2000, 9: 227\u2013242","journal-title":"IEEE Trans Image Proc"},{"key":"4330_CR4","volume-title":"AM-FM image models","author":"J. P. Havlicek","year":"1996","unstructured":"Havlicek J P. AM-FM image models. Dissertation of Doctoral Degree. Austin: The University of Texas at Austin, 1996"},{"key":"4330_CR5","doi-asserted-by":"crossref","first-page":"1862","DOI":"10.1364\/JOSAA.18.001862","volume":"18","author":"K. G. Larkin","year":"2001","unstructured":"Larkin K G, Bone D J, Oldfield M A. Natural demodulation of two-dimensional fringe patterns. I. General background of the spiral phase quadrature transform. J Optical Soc Am A, 2001, 18: 1862\u20131870","journal-title":"J Optical Soc Am A"},{"key":"4330_CR6","doi-asserted-by":"crossref","first-page":"1871","DOI":"10.1364\/JOSAA.18.001871","volume":"18","author":"K. G. Larkin","year":"2001","unstructured":"Larkin K G. Natural demodulation of two-dimensional fringe patterns. II. Stationary phase analysis of the spiral phase quadrature transform. J Optical Soc Am A, 2001, 18: 1871\u20131881","journal-title":"J Optical Soc Am A"},{"key":"4330_CR7","doi-asserted-by":"crossref","first-page":"3136","DOI":"10.1109\/78.969520","volume":"49","author":"M. Felsberg","year":"2001","unstructured":"Felsberg M, Sommer G. The monogenic signal. IEEE Trans Signal Process, 2001, 49: 3136\u20133144","journal-title":"IEEE Trans Signal Process"},{"key":"4330_CR8","unstructured":"Hahn S L. The Analytic, Quaternionic andMonogenic 2D Complex Delta Distributions. Technical Report 3. Nowowiejska Institute of Radioelectronics, Warsaw University Technology, 2002"},{"key":"4330_CR9","doi-asserted-by":"crossref","first-page":"2844","DOI":"10.1109\/78.960432","volume":"49","author":"T. Bulow","year":"2001","unstructured":"Bulow T, Sommer G. Hypercomplex signals-a novel extension of the analytic signal to the multidimensional case. IEEE Trans Signal Process, 2001, 49: 2844\u20132852","journal-title":"IEEE Trans Signal Process"},{"key":"4330_CR10","unstructured":"Kothe U, Felsberg M. Riesz-transforms vs. derivatives: on the relationship between the boundary tensor and the energy tensor. In: Proceedings of 5th International Conference: Scale Space and PDE Methods in Computer Vision, Hofgeismar, 2005. 179\u2013191"},{"key":"4330_CR11","volume-title":"Hypercomplex spectral signal representations for the processing and analysis of images","author":"T. Bulow","year":"1999","unstructured":"Bulow T. Hypercomplex spectral signal representations for the processing and analysis of images. Dissertation of Doctoral Degree. Kiel: Christian Albrechts University, 1999"},{"key":"4330_CR12","doi-asserted-by":"crossref","first-page":"753","DOI":"10.1109\/TPAMI.2007.1051","volume":"29","author":"M. S. Pattichis","year":"2007","unstructured":"Pattichis M S, Bovik A C. Analyzing image structure by multidimensional frequency modulation. IEEE Trans Pattern Anal Machine Intel, 2007, 29: 753\u2013766","journal-title":"IEEE Trans Pattern Anal Machine Intel"},{"key":"4330_CR13","volume-title":"AM-FM image models: fundamental techniques and emerging trends. Handbook of Image and Video Processing","author":"J. P. Havlicek","year":"2005","unstructured":"Havlicek J P, Tay P C, Bovik A C. AM-FM image models: fundamental techniques and emerging trends. Handbook of Image and Video Processing. Burlington: Elsevier Academic Press, 2005"},{"key":"4330_CR14","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1109\/26.837050","volume":"48","author":"B. Santhanam","year":"2000","unstructured":"Santhanam B, Maragos P. Multicomponent AM-FM demodulation via periodicity-based algebraic separation and energy-based demodulation. IEEE Trans Comm, 2000, 48: 473\u2013490","journal-title":"IEEE Trans Comm"},{"key":"4330_CR15","doi-asserted-by":"crossref","unstructured":"Sivley R A, Havlicek J P. Perfect reconstruction AM-FM image models. In: Proceedings of IEEE International Conference on Image Processing, 2006. 2125\u20132128","DOI":"10.1109\/ICIP.2006.312828"},{"key":"4330_CR16","doi-asserted-by":"crossref","unstructured":"Tay P C, Havlicek J P. Joint uncertainty measures for maximally decimated M-channel prime factor cascaded wavelet filter banks. In: Proceedings of IEEE International Conference on Image Processing, Barcelona, 2003. 1033\u20131036","DOI":"10.1109\/ICIP.2003.1247142"},{"key":"4330_CR17","unstructured":"Havlicek J P, Bovik A C. Multi-component AM-FM image models and wavelet-based demodulation with component tracking. In: Proceedings of IEEE International Conference on Image Processing, Austin, 1994. 141\u2013145"},{"key":"4330_CR18","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1109\/18.119725","volume":"38","author":"E. P. Simoncelli","year":"1992","unstructured":"Simoncelli E P, Freeman W T. Shift able multi-scale transform. IEEE Trans Info Theory, 1992, 38: 587\u2013607","journal-title":"IEEE Trans Info Theory"},{"key":"4330_CR19","unstructured":"Simoncelli E P, Freeman W T. The steer able pyramid: a flexible architecture for multi-scale derivative computation. In: Proceedings of IEEE International Conference on Image Processing, Washington, 1995. 444\u2013447"},{"key":"4330_CR20","first-page":"803","volume":"4","author":"Z. X. Liu","year":"2004","unstructured":"Liu Z X, Peng S L. Texture segmentation using directional empirical mode decomposition (in Chinese). Proc Pattern Recognit, 2004, 4: 803\u2013806","journal-title":"Proc Pattern Recognit"},{"key":"4330_CR21","doi-asserted-by":"crossref","unstructured":"Toy P C. AM-FM image analysis using the Hilbert Huang transform. In: IEEE Southwest Symposium on Image Analysis and Interpretation, Santa Fe, 2008, 13\u201316","DOI":"10.1109\/SSIAI.2008.4512273"},{"key":"4330_CR22","doi-asserted-by":"crossref","first-page":"1019","DOI":"10.1016\/S0262-8856(03)00094-5","volume":"21","author":"J. C. Nunes","year":"2003","unstructured":"Nunes J C, Bouaoune Y, Delechelle E, et al. Image analysis by bidimensional empirical mode decomposition. Image Vision Comput, 2003, 21: 1019\u20131026","journal-title":"Image Vision Comput"},{"key":"4330_CR23","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1109\/LSP.2003.821662","volume":"11","author":"P. Flandrin","year":"2004","unstructured":"Flandrin P, Rilling G, Goncalves P, et al. Empirical mode decomposition as a filter bank. IEEE Signal Process Lett, 2004, 11: 112\u2013114","journal-title":"IEEE Signal Process Lett"},{"key":"4330_CR24","doi-asserted-by":"crossref","first-page":"903","DOI":"10.1098\/rspa.1998.0193","volume":"454","author":"N. E. Huang","year":"1998","unstructured":"Huang N E, Shen Z, Long S R, et al. The empirical mode decomposition and the Hilbert spectrum for non-linear and non-stationary time series analysis. Proc R Soc London, Ser A 1998. 454: 903\u2013995","journal-title":"Proc R Soc London, Ser A"},{"key":"4330_CR25","first-page":"2345","volume":"17","author":"B. Shen","year":"2005","unstructured":"Shen B, Cui F, Peng S L. Bidimensional EMD for Texture analysis and estimation of the instantaneous frequencies of an image (in Chinese). J Comput Aided Des Comput Graph, 2005, 17: 2345\u20132352","journal-title":"J Comput Aided Des Comput Graph"},{"key":"4330_CR26","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1109\/LSP.2004.839700","volume":"12","author":"Z. X. Liu","year":"2005","unstructured":"Liu Z X, Peng S L. Boundary processing of bidimensional EMD using texture synthesis (in Chinese). IEEE Signal Process Lett, 2005, 12: 33\u201336","journal-title":"IEEE Signal Process Lett"},{"key":"4330_CR27","doi-asserted-by":"crossref","first-page":"954","DOI":"10.1007\/BF02900475","volume":"46","author":"Y. J. Deng","year":"2001","unstructured":"Deng Y J, Wang W. Qian C C, et al. Boundary-processing-technique in EMD method and Hibert transform. Chinese Sci Bull, 2001, 46: 954\u2013961","journal-title":"Chinese Sci Bull"},{"key":"4330_CR28","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1109\/TIP.2006.884955","volume":"16","author":"T. A. Ell","year":"2007","unstructured":"Ell T A, Sangwine S J. Hypercomplex Fourier transforms of color images. IEEE Trans Image Process, 2007, 16: 22\u201335","journal-title":"IEEE Trans Image Process"}],"container-title":["Science China Information Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11432-011-4330-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11432-011-4330-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11432-011-4330-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,14]],"date-time":"2025-03-14T20:05:45Z","timestamp":1741982745000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11432-011-4330-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,12]]},"references-count":28,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2011,12]]}},"alternative-id":["4330"],"URL":"https:\/\/doi.org\/10.1007\/s11432-011-4330-8","relation":{},"ISSN":["1674-733X","1869-1919"],"issn-type":[{"type":"print","value":"1674-733X"},{"type":"electronic","value":"1869-1919"}],"subject":[],"published":{"date-parts":[[2011,12]]}}}