{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,8]],"date-time":"2026-02-08T07:35:57Z","timestamp":1770536157877,"version":"3.49.0"},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2017,11,15]],"date-time":"2017-11-15T00:00:00Z","timestamp":1510704000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61563037"],"award-info":[{"award-number":["61563037"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Outstanding Youth Scheme of Jiangxi Province","award":["20171BCB23057"],"award-info":[{"award-number":["20171BCB23057"]}]},{"DOI":"10.13039\/501100004479","name":"Natural Science Foundation of Jiangxi Province","doi-asserted-by":"publisher","award":["20171BAB202018"],"award-info":[{"award-number":["20171BAB202018"]}],"id":[{"id":"10.13039\/501100004479","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Department of Education Science and Technology of Jiangxi Province","award":["GJJ150755"],"award-info":[{"award-number":["GJJ150755"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Vis Comput"],"published-print":{"date-parts":[[2019,1]]},"DOI":"10.1007\/s00371-017-1456-8","type":"journal-article","created":{"date-parts":[[2017,11,15]],"date-time":"2017-11-15T12:08:21Z","timestamp":1510747701000},"page":"109-122","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Color image denoising via monogenic matrix-based sparse representation"],"prefix":"10.1007","volume":"35","author":[{"given":"Shan","family":"Gai","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,11,15]]},"reference":[{"issue":"2","key":"1456_CR1","doi-asserted-by":"publisher","first-page":"587","DOI":"10.1109\/18.119725","volume":"38","author":"EP Simoncelli","year":"1992","unstructured":"Simoncelli, E.P., Freeman, W.T., Adelson, E.H., Heeger, D.H.: Shiftable multi-scale transforms. IEEE Trans. Inf. Theory 38(2), 587\u2013607 (1992)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"3","key":"1456_CR2","doi-asserted-by":"publisher","first-page":"859","DOI":"10.1214\/aos\/1018031261","volume":"37","author":"DL Donoho","year":"1998","unstructured":"Donoho, D.L.: Wedgelets: nearly minimax estimation of edges. Ann. Stat. 37(3), 859\u2013897 (1998)","journal-title":"Ann. Stat."},{"issue":"4","key":"1456_CR3","doi-asserted-by":"publisher","first-page":"423","DOI":"10.1109\/TIP.2005.843753","volume":"14","author":"S Mallat","year":"2005","unstructured":"Mallat, S., Lepennec, E.: Sparse geometric image representation with bandelets. IEEE Trans. Image Process. 14(4), 423\u2013438 (2005)","journal-title":"IEEE Trans. Image Process."},{"issue":"3","key":"1456_CR4","doi-asserted-by":"publisher","first-page":"784","DOI":"10.1214\/aos\/1028674842","volume":"30","author":"EJ Candes","year":"2002","unstructured":"Candes, E.J., Donoho, D.L.: Recovering edges in ill-posed inverse problems: optimality of curvelet frames. Ann. Stat. 30(3), 784\u2013842 (2002)","journal-title":"Ann. Stat."},{"issue":"12","key":"1456_CR5","doi-asserted-by":"publisher","first-page":"4972","DOI":"10.1109\/TIP.2013.2280188","volume":"22","author":"JM Hughes","year":"2013","unstructured":"Hughes, J.M., Rockmore, D.N., Wang, Y.: Bayesian learning of sparse multiscale image representations. IEEE Trans. Image Process. 22(12), 4972\u20134983 (2013)","journal-title":"IEEE Trans. Image Process."},{"issue":"7","key":"1456_CR6","doi-asserted-by":"publisher","first-page":"921","DOI":"10.1109\/TMM.2015.2434216","volume":"17","author":"LW Kang","year":"2015","unstructured":"Kang, L.W., Hsu, C.C., Zhuang, B.Q., Lin, C.W., Yeh, C.H.: Learning-based joint super-resolution and deblocking for a highly compressed image. IEEE Trans. Multimed. 17(7), 921\u2013934 (2015)","journal-title":"IEEE Trans. Multimed."},{"issue":"6","key":"1456_CR7","doi-asserted-by":"publisher","first-page":"206","DOI":"10.1016\/j.patcog.2016.09.043","volume":"63","author":"P Zheng","year":"2017","unstructured":"Zheng, P., Zhao, Z.Q., Gao, J., Wu, X.D.: Image set classification based on cooperative sparse representation. Pattern Recognit. 63(6), 206\u2013217 (2017)","journal-title":"Pattern Recognit."},{"issue":"2","key":"1456_CR8","doi-asserted-by":"publisher","first-page":"210","DOI":"10.1109\/TPAMI.2008.79","volume":"31","author":"J Wright","year":"2009","unstructured":"Wright, J., Yang, A.Y., Ganesh, A., Sastry, S.S., Ma, Y.: Robust face recognition via sparse representation. IEEE Trans. Pattern Anal. Mach. Intell. 31(2), 210\u2013227 (2009)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"12","key":"1456_CR9","doi-asserted-by":"publisher","first-page":"4689","DOI":"10.1109\/TIP.2013.2277813","volume":"22","author":"RM Yan","year":"2014","unstructured":"Yan, R.M., Shao, L., Liu, Y.: Nonlocal hierarchical dictionary learning using wavelets for image denoising. IEEE Trans. Image Process. 22(12), 4689\u20134698 (2014)","journal-title":"IEEE Trans. Image Process."},{"issue":"1","key":"1456_CR10","first-page":"2171","volume":"35","author":"G Liu","year":"2013","unstructured":"Liu, G., Lin, Z., Yan, S., Sun, J., Yong, Y., Ma, Y.: Robust recovery of subspace structures by low-rank representation. IEEE Trans. Pattern Anal. Mach. Intell. 35(1), 2171\u2013184 (2013)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"9","key":"1456_CR11","doi-asserted-by":"publisher","first-page":"4263","DOI":"10.1109\/TSP.2008.925970","volume":"56","author":"RY Yu","year":"2008","unstructured":"Yu, R.Y.: Theory of dual tree complex wavelets. IEEE Trans. Signal Process. 56(9), 4263\u20134273 (2008)","journal-title":"IEEE Trans. Signal Process."},{"issue":"11","key":"1456_CR12","doi-asserted-by":"publisher","first-page":"1338","DOI":"10.1109\/TIP.2003.818640","volume":"12","author":"J Portilla","year":"2003","unstructured":"Portilla, J., Strela, V., Wainwrigh, M., Simoncelli, E.P.: Image denoising using scale mixutres of Gaussians in the wavelet domain. IEEE Trans. Image Process. 12(11), 1338\u20131351 (2003)","journal-title":"IEEE Trans. Image Process."},{"issue":"12","key":"1456_CR13","doi-asserted-by":"publisher","first-page":"2091","DOI":"10.1109\/TIP.2005.859376","volume":"14","author":"MN Do","year":"2006","unstructured":"Do, M.N., Vetterli, M.: The contourlet transform: an efficient directional multiresolution image representation. IEEE Trans. Image Process. 14(12), 2091\u20132106 (2006)","journal-title":"IEEE Trans. Image Process."},{"issue":"12","key":"1456_CR14","doi-asserted-by":"publisher","first-page":"3736","DOI":"10.1109\/TIP.2006.881969","volume":"15","author":"M Elad","year":"2006","unstructured":"Elad, M., Aharon, M.: Image denoising via sparse and redundant representations over learned dictionaries. IEEE Trans. Image Process. 15(12), 3736\u20133745 (2006)","journal-title":"IEEE Trans. Image Process."},{"key":"1456_CR15","doi-asserted-by":"crossref","unstructured":"Qiang, Z., Baoxin, L.: Discriminative K-SVD for dictionary learning in face recgonition. In: Proceedings of the IEEE International Conference on Computer Vision and Pattern Recognition (CVPR), pp. 2691\u20132698 (2010)","DOI":"10.1109\/CVPR.2010.5539989"},{"issue":"4","key":"1456_CR16","doi-asserted-by":"publisher","first-page":"1315","DOI":"10.1109\/TIP.2015.2397314","volume":"24","author":"Y Xu","year":"2015","unstructured":"Xu, Y., Yu, L.H., Xu, H.T., Zhang, H., Nguyen, T.: Vector sparse representation of color image using quaternion matrix analysis. IEEE Trans. Image Process. 24(4), 1315\u20131329 (2015)","journal-title":"IEEE Trans. Image Process."},{"issue":"11","key":"1456_CR17","doi-asserted-by":"publisher","first-page":"2034","DOI":"10.1109\/TMI.2013.2271904","volume":"32","author":"L Fang","year":"2013","unstructured":"Fang, L., Li, S., Ryan, P.M., Nie, Q., Kuo, A., Toth, C., Izatt, J., Farsiu, S.: Fast acquisition and reconstruction of optical coherence tomography images via sparse representation. IEEE Trans. Med. Imaging 32(11), 2034\u20132049 (2013)","journal-title":"IEEE Trans. Med. Imaging"},{"issue":"7","key":"1456_CR18","doi-asserted-by":"publisher","first-page":"1646","DOI":"10.1109\/TIM.2017.2664480","volume":"66","author":"L Fang","year":"2017","unstructured":"Fang, L., Wang, C., Li, S., Benediktsson, J.A.: Hyperspectral image classification via multiple-feature-based adaptive sparse representation. IEEE Trans. Instrum. Meas. 66(7), 1646\u20131657 (2017)","journal-title":"IEEE Trans. Instrum. Meas."},{"issue":"2","key":"1456_CR19","doi-asserted-by":"publisher","first-page":"407","DOI":"10.1109\/TMI.2016.2611503","volume":"36","author":"L Fang","year":"2017","unstructured":"Fang, L., Li, S., David, C., Farsiu, S.: Segmentation based sparse reconstruction of optical coherence tomography images. IEEE Trans. Med. Imaging 36(2), 407\u2013421 (2017)","journal-title":"IEEE Trans. Med. Imaging"},{"issue":"4","key":"1456_CR20","doi-asserted-by":"publisher","first-page":"1770","DOI":"10.1109\/TIP.2017.2651400","volume":"26","author":"JH Peng","year":"2017","unstructured":"Peng, J.H., Cheung, G.: Graph Laplacian regularization for image denoising: analysis in the continuous domain. IEEE Trans. Image Process. 26(4), 1770\u20131785 (2017)","journal-title":"IEEE Trans. Image Process."},{"issue":"10","key":"1456_CR21","doi-asserted-by":"publisher","first-page":"4842","DOI":"10.1109\/TIP.2016.2599290","volume":"25","author":"Y Xie","year":"2016","unstructured":"Xie, Y., Gu, S.H., Liu, Y., Zuo, W.M., Zhang, W.S., Zhang, L.: Weighted schatten p-norm minimization for image denoising and background subtraction. IEEE Trans. Image Process. 25(10), 4842\u20134857 (2016)","journal-title":"IEEE Trans. Image Process."},{"issue":"12","key":"1456_CR22","doi-asserted-by":"publisher","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. 49(12), 3136\u20133144 (2001)","journal-title":"IEEE Trans. Signal Process."},{"issue":"9","key":"1456_CR23","doi-asserted-by":"publisher","first-page":"3426","DOI":"10.1109\/TSP.2009.2023397","volume":"57","author":"SC Olhede","year":"2009","unstructured":"Olhede, S.C., Metikas, G.: The monogenic wavelet transform. IEEE Trans. Signal Process. 57(9), 3426\u20133441 (2009)","journal-title":"IEEE Trans. Signal Process."},{"issue":"11","key":"1456_CR24","doi-asserted-by":"publisher","first-page":"2402","DOI":"10.1109\/TIP.2009.2027628","volume":"18","author":"M User","year":"2009","unstructured":"User, M., Sage, D., Ville, D.: Multiresolution monogenic signal analysis using the Riesz\u2013Laplace wavelet transform. IEEE Trans. Image Process. 18(11), 2402\u20132418 (2009)","journal-title":"IEEE Trans. Image Process."},{"issue":"3","key":"1456_CR25","doi-asserted-by":"publisher","first-page":"1070","DOI":"10.1109\/TIP.2012.2226902","volume":"22","author":"R Soulard","year":"2013","unstructured":"Soulard, R., Carre, P., Maloigne, C.F.: Vector extension of monogenic wavelets for geometric representation of color images. IEEE Trans. Image Process. 22(3), 1070\u20131083 (2013)","journal-title":"IEEE Trans. Image Process."},{"issue":"1","key":"1456_CR26","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1016\/j.patcog.2012.06.020","volume":"46","author":"A Kumar","year":"2013","unstructured":"Kumar, A., Chan, T.S.: Robust ear identification using sparse representation of local texture descriptors. Pattern Recognit. 46(1), 73\u201385 (2013)","journal-title":"Pattern Recognit."},{"issue":"3","key":"1456_CR27","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1007\/s10851-011-0262-6","volume":"40","author":"G Demarcq","year":"2011","unstructured":"Demarcq, G., Mascarilla, L., Berthier, M., Courtellemont, P.: The color monogenic signal: application to color edge detection and color optical flow. Math. Imaging Vis. 40(3), 269\u2013284 (2011)","journal-title":"Math. Imaging Vis."},{"issue":"8","key":"1456_CR28","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1016\/j.jvcir.2015.08.014","volume":"33","author":"Z Zeng","year":"2015","unstructured":"Zeng, Z., Song, L., Zheng, Q., Chi, Y.: A new image retrieval model based on monogenic signal representation. J. Vis. Commun. Image Represent. 33(8), 85\u201393 (2015)","journal-title":"J. Vis. Commun. Image Represent."},{"issue":"6","key":"1456_CR29","first-page":"450","volume":"39","author":"C Marianne","year":"2015","unstructured":"Marianne, C., Thomas, O., Valerie, P.: The monogenic synchrosqueezed wavelet transform: a tool for the decomposition\/demodulation of AM\u2013FM images. Appl. Comput. Harmon. Anal. 39(6), 450\u2013486 (2015)","journal-title":"Appl. Comput. Harmon. Anal."},{"issue":"8","key":"1456_CR30","doi-asserted-by":"publisher","first-page":"952","DOI":"10.1109\/LSP.2014.2321565","volume":"21","author":"G Dong","year":"2014","unstructured":"Dong, G., Wang, N., Kuang, G.: Sparse representation of monogenic signal: with application to target recognition in SAR images. IEEE Signal Process. Lett. 21(8), 952\u2013956 (2014)","journal-title":"IEEE Signal Process. Lett."},{"key":"1456_CR31","doi-asserted-by":"crossref","unstructured":"Zhang, L., Zhang, L., Guo, Z.: Monogenic-LBP: a new approach for rotation invariant texture classification. In: Proceedings of ICIP, pp. 2677\u20132680 (2010)","DOI":"10.1109\/ICIP.2010.5651885"},{"issue":"10","key":"1456_CR32","doi-asserted-by":"publisher","first-page":"6491","DOI":"10.1109\/TIT.2014.2342734","volume":"60","author":"SC Olhede","year":"2014","unstructured":"Olhede, S.C., Ramirez, D., Schreier, P.J.: Detecting directionality in random fields using the monogenic signal. IEEE Trans. Inf. Theory 60(10), 6491\u20136510 (2014)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"6","key":"1456_CR33","doi-asserted-by":"publisher","first-page":"1535","DOI":"10.1109\/TSP.2015.2505664","volume":"64","author":"R Soulard","year":"2016","unstructured":"Soulard, R., Carre, P.: Elliptical monogenic wavelets for the analysis and processing of color images. IEEE Trans. Signal Process. 64(6), 1535\u20131549 (2016)","journal-title":"IEEE Trans. Signal Process."},{"issue":"1","key":"1456_CR34","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1016\/j.irbm.2012.12.015","volume":"34","author":"M Alessandrini","year":"2013","unstructured":"Alessandrini, M., Bernard, O., Basarab, A., Liebott, H.: Multiscale optical flow computation from the monogenic signal. IRBM 34(1), 33\u201337 (2013)","journal-title":"IRBM"},{"issue":"3","key":"1456_CR35","doi-asserted-by":"publisher","first-page":"653","DOI":"10.1109\/TIP.2009.2036713","volume":"19","author":"S Held","year":"2010","unstructured":"Held, S., Storath, M., Massopust, P., Forster, B.: Steerable wavelet frames based on the Riesz transform. IEEE Trans. Image Process. 19(3), 653\u2013667 (2010)","journal-title":"IEEE Trans. Image Process."},{"issue":"26","key":"1456_CR36","first-page":"429","volume":"93","author":"D Garbor","year":"1946","unstructured":"Garbor, D.: Theory of communication. J. Inst. Electr. Eng. 93(26), 429\u2013441 (1946)","journal-title":"J. Inst. Electr. Eng."},{"issue":"1","key":"1456_CR37","doi-asserted-by":"publisher","first-page":"22","DOI":"10.1109\/TIP.2006.884955","volume":"16","author":"TA Ell","year":"2007","unstructured":"Ell, T.A., Sangwine, S.J.: Hypercomplex Fourier transforms of color images. IEEE Trans. Image Process. 16(1), 22\u201335 (2007)","journal-title":"IEEE Trans. Image Process."},{"issue":"7","key":"1456_CR38","doi-asserted-by":"publisher","first-page":"1177","DOI":"10.1016\/j.sigpro.2004.04.001","volume":"84","author":"NL Bihan","year":"2004","unstructured":"Bihan, N.L., Mars, J.: Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing. Signal Process. 84(7), 1177\u20132004 (2004)","journal-title":"Signal Process."},{"issue":"11","key":"1456_CR39","doi-asserted-by":"publisher","first-page":"2844","DOI":"10.1109\/78.960432","volume":"49","author":"T Bulow","year":"2001","unstructured":"Bulow, T., Sommer, G.: Hypercomplex signals\u2014a novel extension of the analytic signal to the multidimensional case. IEEE Trans. Sginal Process. 49(11), 2844\u20132852 (2001)","journal-title":"IEEE Trans. Sginal Process."},{"key":"1456_CR40","unstructured":"Pati, Y.C., Rezaiifar, R., Krishnaprasad, P.S.: Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition. In: Proceedings of Conference Record of the 27th Asilomar Conference on Signals, Systems and Computers, pp. 40\u201344 (1993)"}],"container-title":["The Visual Computer"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00371-017-1456-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00371-017-1456-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00371-017-1456-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,27]],"date-time":"2025-06-27T00:58:34Z","timestamp":1750985914000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00371-017-1456-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,11,15]]},"references-count":40,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,1]]}},"alternative-id":["1456"],"URL":"https:\/\/doi.org\/10.1007\/s00371-017-1456-8","relation":{},"ISSN":["0178-2789","1432-2315"],"issn-type":[{"value":"0178-2789","type":"print"},{"value":"1432-2315","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,11,15]]},"assertion":[{"value":"15 November 2017","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}