{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,28]],"date-time":"2026-07-28T19:44:19Z","timestamp":1785267859676,"version":"3.55.0"},"publisher-location":"New York, NY","reference-count":78,"publisher":"Springer New York","isbn-type":[{"value":"9780387758886","type":"print"},{"value":"9780387304403","type":"electronic"}],"license":[{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009]]},"DOI":"10.1007\/978-0-387-30440-3_111","type":"book-chapter","created":{"date-parts":[[2009,6,17]],"date-time":"2009-06-17T16:41:24Z","timestamp":1245256884000},"page":"1718-1738","source":"Crossref","is-referenced-by-count":32,"title":["Curvelets and Ridgelets"],"prefix":"10.1007","author":[{"given":"Jalal","family":"Fadili","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jean-Luc","family":"Starck","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","reference":[{"issue":"11","key":"111_CR1_111","first-page":"4311","volume":"54","author":"M Aharon","year":"2006","unstructured":"Aharon M, Elad M, Bruckstein AM (2006) The K-SVD: An algorithm for designing overcomplete dictionaries for sparse representation. IEEE Trans. Signal Process 54(11):4311\u20134322","journal-title":"Signal Process"},{"key":"111_CR2_111","doi-asserted-by":"crossref","unstructured":"Arivazhagan S, Ganesan L, Kumar TS (2006) Texture classification using curvelet statistical and co-occurrence feature. In: Proceedings of the 18th International Conference on Pattern Recognition, Hong Kong (ICPR 2006), vol\u00a02. pp\u00a0938\u2013941","DOI":"10.1109\/ICPR.2006.1110"},{"key":"111_CR3_111","unstructured":"Averbuch A, Coifman RR, Donoho DL, Israeli M, Wald\u00e9n J (2001) Fast Slant Stack: A\u00a0notion of Radon transform for data in a\u00a0cartesian grid which is rapidly computible, algebraically exact, geometrically faithful and invertible. SIAM J Sci Comput"},{"key":"111_CR4_111","unstructured":"BeamLab 200 (2003) http:\/\/www-stat.stanford.edu\/beamlab\/"},{"issue":"1","key":"111_CR5_111","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1109\/TSA.2005.860346","volume":"14","author":"T Blumensath","year":"2006","unstructured":"Blumensath T, Davies M (2006) Sparse and shift-invariant representations of music. IEEE Trans Speech Audio Process 14(1):50\u201357","journal-title":"IEEE Trans Speech Audio Process"},{"issue":"7","key":"111_CR6_111","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1109\/LSP.2006.873141","volume":"13","author":"J Bobin","year":"2006","unstructured":"Bobin J, Moudden Y, Starck JL, Elad M (2006) Morphological diversity and source separation. IEEE Trans Signal Process 13(7):409\u2013412","journal-title":"IEEE Trans Signal Process"},{"issue":"11","key":"111_CR7_111","doi-asserted-by":"crossref","first-page":"2662","DOI":"10.1109\/TIP.2007.906256","volume":"16","author":"J Bobin","year":"2007","unstructured":"Bobin J, Starck JL, Fadili J, Moudden Y (2007) Sparsity, morphological diversity and blind source separation. IEEE Transon Image Process 16(11):2662\u20132674","journal-title":"IEEE Transon Image Process"},{"issue":"4","key":"111_CR8_111","doi-asserted-by":"crossref","first-page":"270","DOI":"10.1016\/j.jvcir.2008.03.001","volume":"19","author":"O Bryt","year":"2008","unstructured":"Bryt O, Elad M (2008) Compression of facial images using the k-svd algorithm. J\u00a0Vis Commun Image Represent 19(4):270\u2013283","journal-title":"J Vis Commun Image Represent"},{"key":"111_CR9_111","unstructured":"Cand\u00e8s EJ (1998) Ridgelets: theory and applications. Ph\u202fD thesis, Stanford University"},{"key":"111_CR10_111","doi-asserted-by":"crossref","unstructured":"Cand\u00e8s EJ (1999) Harmonic analysis of neural networks. Appl Comput Harmon Anal 6:197\u2013218","DOI":"10.1006\/acha.1998.0248"},{"key":"111_CR11_111","unstructured":"Cand\u00e8s EJ (1999) Ridgelets and the representation of mutilated sobolev functions. SIAM J Math Anal 33:197\u2013218"},{"key":"111_CR12_111","doi-asserted-by":"crossref","unstructured":"Cand\u00e8s EJ (1999) Ridgelets: Estimating with ridge functions. Ann Statist 31:1561\u20131599","DOI":"10.1214\/aos\/1065705119"},{"key":"111_CR13_111","doi-asserted-by":"crossref","unstructured":"Cand\u00e8s EJ, Demanet L (2002) Curvelets and Fourier integral operators. C R Acad Sci, Paris, Serie I(336):395\u2013398","DOI":"10.1016\/S1631-073X(03)00095-5"},{"key":"111_CR14_111","doi-asserted-by":"crossref","unstructured":"Cand\u00e8s EJ, Demanet L (2005) The curvelet representation of wave propagators is optimally sparse. Com Pure Appl Math 58(11):1472\u20131528","DOI":"10.1002\/cpa.20078"},{"key":"111_CR15_111","doi-asserted-by":"crossref","unstructured":"Cand\u00e8s EJ, Demanet L, Donoho DL, Ying L (2006) Fast discrete curvelet transforms. SIAM Multiscale Model Simul 5(3):861\u2013899","DOI":"10.1137\/05064182X"},{"key":"111_CR16_111","doi-asserted-by":"crossref","unstructured":"Cand\u00e8s EJ, Donoho DL (1999) Ridgelets : the key to high dimensional intermittency? Philos Trans Royal Soc of Lond A 357:2495\u20132509","DOI":"10.1098\/rsta.1999.0444"},{"key":"111_CR17_111","unstructured":"Cand\u00e8s EJ, Donoho DL (1999) Curvelets\u00a0\u2013 a\u00a0surprisingly effective nonadaptive representation for objects with edges. In: Cohen A, Rabut C, Schumaker LL (eds) Curve and Surface Fitting: Saint-Malo. Vanderbilt University Press, Nashville"},{"key":"111_CR18_111","doi-asserted-by":"crossref","unstructured":"Cand\u00e8s EJ, Donoho DL (2000) Curvelets and curvilinear integrals. Approx J Theory 113:59\u201390","DOI":"10.1006\/jath.2001.3624"},{"key":"111_CR19_111","doi-asserted-by":"crossref","unstructured":"Cand\u00e8s EJ, Donoho DL (2000) Recovering edges in ill-posed inverse problems: Optimality of curvelet frames. Ann Stat 30:784\u2013842","DOI":"10.1214\/aos\/1028674842"},{"key":"111_CR20_111","doi-asserted-by":"crossref","unstructured":"Cand\u00e8s EJ, Donoho DL (2002) New tight frames of curvelets and optimal representations of objects with piecewise-C2 singularities. Comm Pure Appl Math 57:219\u2013266","DOI":"10.1002\/cpa.10116"},{"key":"111_CR21_111","doi-asserted-by":"crossref","unstructured":"Cand\u00e8s E,Ying L, Demanet L (2005) 3d discrete curvelet transform. In: Wavelets XI conf., San Diego. Proc. SPIE, vol\u00a05914, 591413; doi:10.1117\/12.616205","DOI":"10.1117\/12.616205"},{"key":"111_CR22_111","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/j.acha.2006.04.004","volume":"21","author":"RR Coifman","year":"2006","unstructured":"Coifman RR, Maggioni M (2006) Diffusion wavelets. Appl Comput Harmon Anal 21:53\u201394","journal-title":"Appl Comput Harmon Anal"},{"key":"111_CR23_111","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970104","volume-title":"Ten Lectures on Wavelets","author":"I Daubechies","year":"1992","unstructured":"Daubechies I (1992) Ten Lectures on Wavelets. Society for Industrial and Applied Mathematics, Philadelphia"},{"key":"111_CR24_111","doi-asserted-by":"crossref","first-page":"1413","DOI":"10.1002\/cpa.20042","volume":"57","author":"I Daubechies","year":"2004","unstructured":"Daubechies I, Defrise M, De Mol C (2004) An iterative thresholding algorithm for linear inverse problems with a\u00a0sparsity constraint. Com Pure Appl Math 57:1413\u20131541","journal-title":"Com Pure Appl Math"},{"key":"111_CR25_111","doi-asserted-by":"crossref","unstructured":"Demanet L, Ying L (2007) Curvelets and wave atoms for mirror-extended images. In: Wavelets XII conf., San Diego. Proc. SPIE, vol\u00a06701, 67010J; doi:10.1117\/12.733257","DOI":"10.1117\/12.733257"},{"issue":"1","key":"111_CR26_111","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1109\/TIP.2002.806252","volume":"12","author":"MN Do","year":"2003","unstructured":"Do MN, Vetterli M (2003) The finite ridgelet transform for image representation. IEEE Trans Image Process 12(1):16\u201328","journal-title":"IEEE Trans Image Process"},{"key":"111_CR27_111","volume-title":"Beyond Wavelets","author":"MN Do","year":"2003","unstructured":"Do MN, Vetterli M (2003) Contourlets. In: Stoeckler J, Welland GV (eds) Beyond Wavelets. Academic Press, San Diego"},{"key":"111_CR28_111","volume-title":"Fast ridgelet transforms in dimension 2","author":"DL Donoho","year":"1997","unstructured":"Donoho DL (1997) Fast ridgelet transforms in dimension 2. Stanford University, Stanford"},{"key":"111_CR29_111","unstructured":"Donoho DL (1998) Digital ridgelet transform via rectopolar coordinate transform. Technical Report, Stanford University"},{"key":"111_CR30_111","doi-asserted-by":"crossref","first-page":"859","DOI":"10.1214\/aos\/1018031261","volume":"27","author":"DL Donoho","year":"1999","unstructured":"Donoho DL (1999) Wedgelets: nearly-minimax estimation of edges. Ann Stat. 27:859\u2013897","journal-title":"Ann Stat"},{"issue":"5","key":"111_CR31_111","doi-asserted-by":"crossref","first-page":"1062","DOI":"10.1137\/S0036141098344403","volume":"31","author":"DL Donoho","year":"2000","unstructured":"Donoho DL (2000) Orthonormal ridgelets and linear singularities. SIAM J Math Anal 31(5):1062\u20131099","journal-title":"SIAM J Math Anal"},{"key":"111_CR32_111","doi-asserted-by":"crossref","unstructured":"Donoho DL, Duncan MR (2000) Digital curvelet transform: strategy, implementation and experiments. In: Szu HH, Vetterli M, Campbell W, Buss JR (eds) Proc. Aerosense, Wavelet Applications VII, vol\u00a04056. SPIE, pp\u00a012\u201329","DOI":"10.1117\/12.381679"},{"key":"111_CR33_111","volume-title":"Beyond Wavelets","author":"DL Donoho","year":"2002","unstructured":"Donoho DL, Flesia AG (2002) Digital ridgelet transform based on true ridge functions. In: Schmeidler J, Welland GV (eds) Beyond Wavelets. Academic Press, San Diego"},{"key":"111_CR34_111","doi-asserted-by":"crossref","first-page":"6","DOI":"10.1190\/1.2785047","volume":"72","author":"H Douma","year":"2007","unstructured":"Douma H, de\u00a0Hoop MV (2007) Leading-order seismic imaging using curvelets. Geophys 72(6)","journal-title":"Geophys"},{"issue":"1","key":"111_CR35_111","doi-asserted-by":"crossref","first-page":"124","DOI":"10.1016\/j.acha.2006.05.006","volume":"22","author":"S Durand","year":"2007","unstructured":"Durand S (2007) M-band filtering and nonredundant directional wavelets. Appl Comput Harmon Anal 22(1):124\u2013139","journal-title":"Appl Comput Harmon Anal"},{"issue":"12","key":"111_CR36_111","doi-asserted-by":"crossref","first-page":"3736","DOI":"10.1109\/TIP.2006.881969","volume":"15","author":"M Elad","year":"2006","unstructured":"Elad M, Aharon M (2006) Image denoising via sparse and redundant representations over learned dictionaries. IEEE Trans Image Process 15(12):3736\u20133745","journal-title":"IEEE Trans Image Process"},{"key":"111_CR37_111","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1016\/j.acha.2005.03.005","volume":"19","author":"M Elad","year":"2006","unstructured":"Elad M, Starck JL, Donoho DL, Querre P (2006) Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA). J\u00a0Appl Comput Harmon Anal 19:340\u2013358","journal-title":"J Appl Comput Harmon Anal"},{"key":"111_CR38_111","doi-asserted-by":"crossref","unstructured":"Fadili MJ, Starck JL (2006) Sparse representation-based image deconvolution by iterative thresholding. In: Murtagh F, Starck JL (eds) Astronomical Data Analysis IV. Marseille","DOI":"10.1007\/978-3-540-33025-7_3"},{"key":"111_CR39_111","unstructured":"Fadili MJ, Starck JL, Murtagh F (2006) Inpainting and zooming using sparse representations. Comput J"},{"key":"111_CR40_111","doi-asserted-by":"crossref","unstructured":"Fernandes F, Wakin M, Baraniuk R (2004) Non-redundant, linear-phase, semi-orthogonal, directional complex wavelets. In: IEEE Conf. on Acoustics, Speech and Signal Processing, Montreal, Canada, vol\u00a02, pp\u00a0953\u00a0956","DOI":"10.1109\/ICASSP.2004.1326417"},{"issue":"8","key":"111_CR41_111","doi-asserted-by":"crossref","first-page":"906","DOI":"10.1109\/TIP.2003.814255","volume":"12","author":"M Figueiredo","year":"2003","unstructured":"Figueiredo M, Nowak R (2003) An EM algorithm for wavelet-based image restoration. IEEE Trans Image Process 12(8):906\u2013916","journal-title":"IEEE Trans Image Process"},{"issue":"3","key":"111_CR42_111","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1109\/MCSE.2006.49","volume":"8","author":"G Hennenfent","year":"2006","unstructured":"Hennenfent G, Herrmann FJ (2006) Seismic denoising with nonuniformly sampled curvelets. IEEE Comput Sci Eng 8(3):16\u201325","journal-title":"IEEE Comput Sci Eng"},{"issue":"2","key":"111_CR43_111","doi-asserted-by":"crossref","first-page":"150","DOI":"10.1016\/j.acha.2007.06.007","volume":"24","author":"FJ Herrmann","year":"2008","unstructured":"Herrmann FJ, Moghaddam PP, Stolk CC (2008) Sparsity- and continuity-promoting seismic image recovery with curvelet frames. Appl Comput Harmon Anal 24(2):150\u2013173","journal-title":"Appl Comput Harmon Anal"},{"key":"111_CR44_111","first-page":"2470","volume":"15","author":"J Jin","year":"2005","unstructured":"Jin J, Starck JL, Donoho DL, Aghanim N, Forni O (2005) Cosmological non-gaussian signatures detection: Comparison of statistical tests. Eurasip J 15:2470\u20132485","journal-title":"Eurasip J"},{"issue":"2","key":"111_CR45_111","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1109\/TIT.1962.1057698","volume":"8","author":"B Julesz","year":"1962","unstructured":"Julesz B (1962) Visual pattern discrimination. Trans RE Inform Theory 8(2):84\u201392","journal-title":"Trans RE Inform Theory"},{"key":"111_CR46_111","unstructured":"Kingsbury NG (1998) The dual-tree complex wavelet transform: a\u00a0new efficient tool for image restoration and enhancement. In: European Signal Processing Conference, Rhodes, Greece, pp\u00a0319\u2013322"},{"key":"111_CR47_111","first-page":"254","volume-title":"Wavelets XI","author":"D Labate","year":"2005","unstructured":"Labate D, Lim W-Q, Kutyniok G, Weiss G (2005) Sparse multidimensional representation using shearlets. In: Wavelets XI, vol\u00a05914. SPIE, San Diego, pp\u00a0254\u2013262"},{"key":"111_CR48_111","doi-asserted-by":"crossref","unstructured":"Lambert P, Pires S, Ballot J, Garc\u00eda RA, Starck JL, Turck-Chi\u00e8ze S (2006) Curvelet analysis of asteroseismic data. i. method description and application to simulated sun-like stars. Astron Astrophys 454:1021\u20131027","DOI":"10.1051\/0004-6361:20054541"},{"key":"111_CR49_111","unstructured":"Le Pennec E, Mallat S (2000) Image processing with geometrical wavelets. In: International Conference on Image Processing, Thessaloniki, Greece"},{"issue":"3","key":"111_CR50_111","doi-asserted-by":"crossref","first-page":"992","DOI":"10.1137\/040619454","volume":"4","author":"E Le Pennec","year":"2005","unstructured":"Le\u00a0Pennec E, Mallat S (2005) Bandelet Image Approximation and Compression. Multiscale SIAM Mod Simul 4(3):992\u20131039","journal-title":"Multiscale SIAM Mod Simul"},{"key":"111_CR51_111","doi-asserted-by":"crossref","unstructured":"Lu Y, Do MN (2003) CRIPS-contourlets: A\u00a0critical sampled directional multiresolution image representation. In: Wavelet X, San Diego. Proc. SPIE, vol\u00a05207. pp\u00a0655\u2013665","DOI":"10.1117\/12.506566"},{"issue":"1","key":"111_CR52_111","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1109\/TIP.2007.911828","volume":"17","author":"J Mairal","year":"2008","unstructured":"Mairal J, Elad M, Sapiro G (2008) Sparse representation for color image restoration. IEEE Trans Image Process 17(1):53\u201369","journal-title":"IEEE Trans Image Process"},{"key":"111_CR53_111","volume-title":"A Wavelet Tour of Signal Processing","author":"S Mallat","year":"1998","unstructured":"Mallat S (1998) A\u00a0Wavelet Tour of Signal Processing. Academic Press, London"},{"key":"111_CR54_111","unstructured":"Mallat S (2008) Geometrical grouplets. Appl Comput Harmon Anal"},{"issue":"10","key":"111_CR55_111","doi-asserted-by":"crossref","first-page":"996","DOI":"10.1109\/34.254058","volume":"15","author":"F Matus","year":"1993","unstructured":"Matus F, Flusser J (1993) Image representations via a\u00a0finite Radon transform. IEEE Trans Pattern Anal Mach Intell 15(10):996\u20131006","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"111_CR56_111","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1006\/acha.1997.0208","volume":"4","author":"FG Meyer","year":"1997","unstructured":"Meyer FG, Coifman RR (1997) Brushlets: a\u00a0tool for directional image analysis and image compression. Appl Comput Harmon Anal 4:147\u2013187","journal-title":"Appl Comput Harmon Anal"},{"key":"111_CR57_111","volume-title":"Wavelets: Algorithms and Applications","author":"Y Meyer","year":"1993","unstructured":"Meyer Y (1993) Wavelets: Algorithms and Applications. SIAM, Philadelphia"},{"key":"111_CR58_111","unstructured":"Olshausen BA (2000) Sparse coding of time-varying natural images. In: Int. Conf. Independent Component Analysis and Blind Source Separation (ICA), Barcelona, pp\u00a0603\u2013608"},{"issue":"6583","key":"111_CR59_111","doi-asserted-by":"crossref","first-page":"607","DOI":"10.1038\/381607a0","volume":"381","author":"BA Olshausen","year":"1996","unstructured":"Olshausen BA, Field DJ (1996) Emergence of simple-cell receptive-field properties by learning a\u00a0sparse code for natural images. Nature 381(6583):607\u2013609","journal-title":"Nature"},{"key":"111_CR60_111","doi-asserted-by":"crossref","unstructured":"Peyr\u00e9 G (2007) Non-negative sparse modeling of textures. In: SSVM. Lecture Notes in Computer Science. Springer, pp\u00a0628\u2013639","DOI":"10.1007\/978-3-540-72823-8_54"},{"key":"111_CR61_111","doi-asserted-by":"crossref","unstructured":"Peyr\u00e9 G, Fadili MJ, Starck JL (2007) Learning adapted dictionaries for geometry and texture separation. In: Wavelet XII, San Diego. Proc. SPIE, vol\u00a06701, 67011T; doi:10.1117\/12.731244","DOI":"10.1117\/12.731244"},{"key":"111_CR62_111","doi-asserted-by":"crossref","unstructured":"Peyr\u00e9 G, Mallat S (2007) A\u00a0review of bandlet methods for geometrical image representation. Num Algorithms 44(3):205\u2013234","DOI":"10.1007\/s11075-007-9092-4"},{"key":"111_CR63_111","doi-asserted-by":"crossref","unstructured":"Rahman I, Drori I, Stodden VC, Donoho DL, Schr\u00f6der P (2005) Multiscale representations fpr manifold-valued data. Multiscale Mod Simul 4(4):1201\u20131232","DOI":"10.1137\/050622729"},{"key":"111_CR64_111","doi-asserted-by":"crossref","unstructured":"Saevarsson B, Sveinsson J, Benediktsson J (2003) Speckle reduction of SAR images using adaptive curvelet domain. In: Proceedings of the IEEE International Conference on Geoscience and Remote Sensing Symposium, IGARSS \u201903, vol\u00a06., pp\u00a04083\u20134085","DOI":"10.1109\/IGARSS.2003.1295369"},{"issue":"2","key":"111_CR65_111","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1109\/18.119725","volume":"38","author":"EP Simoncelli","year":"1992","unstructured":"Simoncelli EP, Freeman WT, Adelson EH, Heeger DJ (1992) Shiftable multi-scale transforms [or what\u2019s wrong with orthonormal wavelets]. IEEE Trans Inf Theory 38(2):587\u2013607","journal-title":"IEEE Trans Inf Theory"},{"key":"111_CR66_111","doi-asserted-by":"crossref","first-page":"1191","DOI":"10.1051\/0004-6361:20053246","volume":"446","author":"JL Starck","year":"2006","unstructured":"Starck JL, Abrial P, Moudden Y, Nguyen M (2006) Wavelets, ridgelets and curvelets on the sphere. Astron Astrophys 446:1191\u20131204","journal-title":"Astron Astrophys"},{"key":"111_CR67_111","first-page":"349","volume":"283","author":"JL Starck","year":"1994","unstructured":"Starck JL, Bijaoui A, Lopez B, Perrier C (1994) Image reconstruction by the wavelet transform applied to aperture synthesis. Astron Astrophys 283:349\u2013360","journal-title":"Astron Astrophys"},{"key":"111_CR68_111","doi-asserted-by":"crossref","unstructured":"Starck JL, Cand\u00e8s EJ, Donoho DL (2002) The curvelet transform for image denoising. IEEE Trans Image Process 11(6):131\u2013141","DOI":"10.1109\/TIP.2002.1014998"},{"key":"111_CR69_111","doi-asserted-by":"crossref","unstructured":"Starck JL, Cand\u00e8s EJ, Donoho DL (2003) Astronomical image representation by the curvelet tansform. Astron Astrophys 398:785\u2013800","DOI":"10.1051\/0004-6361:20021571"},{"key":"111_CR70_111","first-page":"288","volume-title":"Advances in Imaging and Electron Physics","author":"JL Starck","year":"2004","unstructured":"Starck JL, Elad M, Donoho DL (2004) Redundant multiscale transforms and their application for morphological component analysis. In: Hawkes P (ed) Advances in Imaging and Electron Physics, vol\u00a0132. Academic Press, San Diego, London, pp\u00a0288\u2013348"},{"issue":"10","key":"111_CR71_111","doi-asserted-by":"crossref","first-page":"1570","DOI":"10.1109\/TIP.2005.852206","volume":"14","author":"JL Starck","year":"2005","unstructured":"Starck JL, Elad M, Donoho DL (2005) Image decomposition via the combination of sparse representation and a\u00a0variational approach. IEEE Trans Image Process 14(10):1570\u20131582","journal-title":"IEEE Trans Image Process"},{"key":"111_CR72_111","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511564352","volume-title":"Image Processing and Data Analysis: The Multiscale Approach","author":"JL Starck","year":"1998","unstructured":"Starck JL, Murtagh F, Bijaoui A (1998) Image Processing and Data Analysis: The Multiscale Approach. Cambridge University Press, Cambridge"},{"key":"111_CR73_111","doi-asserted-by":"crossref","unstructured":"Starck JL, Murtagh F, Cand\u00e8s E, Donoho DL (2003) Gray and color image contrast enhancement by the curvelet transform. IEEE Trans Image Process 12(6):706\u2013717","DOI":"10.1109\/TIP.2003.813140"},{"issue":"10","key":"111_CR74_111","doi-asserted-by":"crossref","first-page":"2279","DOI":"10.1016\/S0165-1684(03)00150-6","volume":"83","author":"JL Starck","year":"2003","unstructured":"Starck JL, Nguyen MK, Murtagh F (2003) Wavelets and curvelets for image deconvolution: a\u00a0combined approach. Signal Process 83(10):2279\u20132283","journal-title":"Signal Process"},{"key":"111_CR75_111","unstructured":"The Curvelab Toolbox (2005) http:\/\/www.curvelet.org"},{"issue":"7","key":"111_CR76_111","doi-asserted-by":"crossref","first-page":"1916","DOI":"10.1109\/TIP.2006.877076","volume":"15","author":"V Velisavljevic","year":"2006","unstructured":"Velisavljevic V, Beferull-Lozano B, Vetterli M, Dragotti PL (2006) Directionlets: Anisotropic multi-directional representation with separable filtering. IEEE Trans Image Process 15(7):1916\u20131933","journal-title":"IEEE Trans Image Process"},{"issue":"3","key":"111_CR77_111","doi-asserted-by":"crossref","first-page":"368","DOI":"10.1016\/j.acha.2007.03.003","volume":"23","author":"L Ying","year":"2007","unstructured":"Ying L, Demanet L (2007) Wave atoms and sparsity of oscillatory patterns. Appl Comput Harmon Anal 23(3):368\u2013387","journal-title":"Appl Comput Harmon Anal"},{"key":"111_CR78_111","doi-asserted-by":"crossref","unstructured":"Zhang Z, Huang W, Zhang J, Yu H, Lu Y (2006) Digital image watermark algorithm in the curvelet domain. In: Proceedings of the International Conference on Intelligent Information Hiding and Multimedia Signal Processing (IIH-MSP\u201906), Pasadena. pp\u00a0105\u2013108","DOI":"10.1109\/IIH-MSP.2006.264965"}],"container-title":["Encyclopedia of Complexity and Systems Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-0-387-30440-3_111","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,22]],"date-time":"2024-08-22T04:45:05Z","timestamp":1724301905000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-0-387-30440-3_111"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009]]},"ISBN":["9780387758886","9780387304403"],"references-count":78,"URL":"https:\/\/doi.org\/10.1007\/978-0-387-30440-3_111","relation":{},"subject":[],"published":{"date-parts":[[2009]]}}}