{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T13:54:06Z","timestamp":1774878846851,"version":"3.50.1"},"reference-count":36,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2009,10,8]],"date-time":"2009-10-08T00:00:00Z","timestamp":1254960000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIViP"],"published-print":{"date-parts":[[2011,3]]},"DOI":"10.1007\/s11760-009-0139-y","type":"journal-article","created":{"date-parts":[[2009,10,7]],"date-time":"2009-10-07T19:10:21Z","timestamp":1254942621000},"page":"11-28","source":"Crossref","is-referenced-by-count":19,"title":["Wavelet shrinkage: unification of basic thresholding functions and thresholds"],"prefix":"10.1007","volume":"5","author":[{"given":"Abdourrahmane M.","family":"Atto","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dominique","family":"Pastor","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gr\u00e9goire","family":"Mercier","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2009,10,8]]},"reference":[{"issue":"3","key":"139_CR1","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1093\/biomet\/81.3.425","volume":"81","author":"D.L. Donoho","year":"1994","unstructured":"Donoho D.L., Johnstone I.M.: Ideal spatial adaptation by wavelet shrinkage. Biometrika 81(3), 425\u2013455 (1994)","journal-title":"Biometrika"},{"issue":"4","key":"139_CR2","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1093\/biomet\/83.4.727","volume":"83","author":"A.G. Bruce","year":"1996","unstructured":"Bruce A.G., Gao H.Y.: Understanding waveshrink: variance and bias estimation. Biometrika 83(4), 727\u2013745 (1996)","journal-title":"Biometrika"},{"issue":"432","key":"139_CR3","doi-asserted-by":"crossref","first-page":"1200","DOI":"10.2307\/2291512","volume":"90","author":"D.L. Donoho","year":"1995","unstructured":"Donoho D.L., Johnstone I.M.: Adapting to unknown smoothness via wavelet shrinkage. J. Am. Stat. Assoc. 90(432), 1200\u20131224 (1995)","journal-title":"J. Am. Stat. Assoc."},{"key":"139_CR4","doi-asserted-by":"crossref","unstructured":"Atto, A.M., Pastor, D., Mercier, G.: Detection threshold for non-parametric estimation. Signal, Image and Video Processing, vol. 2(3). Springer, Heidelberg (2008)","DOI":"10.1007\/s11760-008-0051-x"},{"key":"139_CR5","doi-asserted-by":"crossref","unstructured":"Simoncelli, E.P., Adelson, E.H.: Noise removal via bayesian wavelet coring. IEEE Int. Conf. Image Proc. (ICIP) 379\u2013382 (1996)","DOI":"10.1109\/ICIP.1996.559512"},{"issue":"2","key":"139_CR6","doi-asserted-by":"crossref","first-page":"146","DOI":"10.1109\/83.982822","volume":"11","author":"M.N. Do","year":"2002","unstructured":"Do M.N., Vetterli M.: Wavelet-based texture retrieval using generalized gaussian density and kullback-leibler distance. IEEE Trans. Image Process. 11(2), 146\u2013158 (2002)","journal-title":"IEEE Trans. Image Process."},{"key":"139_CR7","doi-asserted-by":"crossref","first-page":"2744","DOI":"10.1109\/TSP.2002.804091","volume":"11","author":"L. \u015eendur","year":"2002","unstructured":"\u015eendur L., Selesnick I.V.: Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependency. IEEE Trans. Signal Process. 11, 2744\u20132756 (2002)","journal-title":"IEEE Trans. Signal Process."},{"issue":"11","key":"139_CR8","doi-asserted-by":"crossref","first-page":"1338","DOI":"10.1109\/TIP.2003.818640","volume":"12","author":"J. Portilla","year":"2003","unstructured":"Portilla J., Strela V., Wainwright M.J., Simoncelli E.P.: Image denoising using scale mixtures of gaussians in the wavelet domain. IEEE Trans. Image Process. 12(11), 1338\u20131351 (2003)","journal-title":"IEEE Trans. Image Process."},{"issue":"4","key":"139_CR9","doi-asserted-by":"crossref","first-page":"1700","DOI":"10.1214\/009053605000000345","volume":"33","author":"I.M. Johnstone","year":"2005","unstructured":"Johnstone I.M., Silverman B.W.: Empirical bayes selection of wavelet thresholds. Ann. Stat. 33(4), 1700\u20131752 (2005)","journal-title":"Ann. Stat."},{"issue":"2","key":"139_CR10","doi-asserted-by":"crossref","first-page":"1232","DOI":"10.1016\/j.csda.2006.06.011","volume":"51","author":"C.J.F. ter Braak","year":"2006","unstructured":"ter Braak C.J.F.: Bayesian sigmoid shrinkage with improper variance priors and an application to wavelet denoising. Comput. Stat. Data Anal. 51(2), 1232\u20131242 (2006)","journal-title":"Comput. Stat. Data Anal."},{"issue":"4","key":"139_CR11","doi-asserted-by":"crossref","first-page":"469","DOI":"10.2307\/1390677","volume":"7","author":"H.Y. Gao","year":"1998","unstructured":"Gao H.Y.: Waveshrink shrinkage denoising using the non-negative garrote. J. Comput. Graph. Stat. 7(4), 469\u2013488 (1998)","journal-title":"J. Comput. Graph. Stat."},{"issue":"455","key":"139_CR12","doi-asserted-by":"crossref","first-page":"939","DOI":"10.1198\/016214501753208942","volume":"96","author":"A. Antoniadis","year":"2001","unstructured":"Antoniadis A., Fan J.: Regularization of wavelet approximations. J. Am. Stat. Assoc. 96(455), 939\u2013955 (2001)","journal-title":"J. Am. Stat. Assoc."},{"issue":"3","key":"139_CR13","doi-asserted-by":"crossref","first-page":"593","DOI":"10.1109\/TIP.2007.891064","volume":"16","author":"F. Luisier","year":"2007","unstructured":"Luisier F., Blu T., Unser M.: A new sure approach to image denoising: interscale orthonormal wavelet thresholding. IEEE Trans. Image Process. 16(3), 593\u2013606 (2007)","journal-title":"IEEE Trans. Image Process."},{"key":"139_CR14","doi-asserted-by":"crossref","unstructured":"Atto, A.M., Pastor, D., Mercier, G.: Smooth sigmoid wavelet shrinkage for non-parametric estimation. IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP, Las Vegas, Nevada, USA, 30 March\u20134 April (2008)","DOI":"10.1109\/ICASSP.2008.4518347"},{"key":"139_CR15","unstructured":"Pastor, D., Atto, A.M.: Sparsity from binary hypothesis testing and application to non-parametric estimation. European Signal Processing Conference, EUSIPCO, Lausanne, Switzerland, August 25\u201329 (2008)"},{"key":"139_CR16","unstructured":"Benedetto, J.J., Frasier, M.W.: Wavelets : Mathematics and applications. CRC Press, Boca Raton (1994), chap. 9: Wavelets, probability, and statistics: Some bridges, by Christian Houdr\u00e9, pp. 365\u2013398"},{"issue":"7","key":"139_CR17","doi-asserted-by":"crossref","first-page":"1737","DOI":"10.1109\/78.298281","volume":"42","author":"J. Zhang","year":"1994","unstructured":"Zhang J., Walter G.: A wavelet-based KL-like expansion for wide-sense stationary random processes. IEEE Trans. Signal Process. 42(7), 1737\u20131745 (1994)","journal-title":"IEEE Trans. Signal Process."},{"issue":"3","key":"139_CR18","doi-asserted-by":"crossref","first-page":"863","DOI":"10.1109\/18.761329","volume":"45","author":"D. Leporini","year":"1999","unstructured":"Leporini D., Pesquet J.-C.: High-order wavelet packets and cumulant field analysis. IEEE Trans. Inf. Theory 45(3), 863\u2013877 (1999)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"10","key":"139_CR19","doi-asserted-by":"crossref","first-page":"2320","DOI":"10.1016\/j.sigpro.2007.03.014","volume":"87","author":"A.M. Atto","year":"2007","unstructured":"Atto A.M., Pastor D., Isar A.: On the statistical decorrelation of the wavelet packet coefficients of a band-limited wide-sense stationary random process. Signal Process. 87(10), 2320\u20132335 (2007)","journal-title":"Signal Process."},{"key":"139_CR20","unstructured":"Atto, A.M., Pastor, D.: Limit distributions for wavelet packet coefficients of band-limited stationary random processes. European Signal Processing Conference, EUSIPCO, Lausanne, Switzerland, 25\u201328 August (2008)"},{"issue":"2","key":"139_CR21","doi-asserted-by":"crossref","first-page":"910","DOI":"10.1109\/18.119751","volume":"38","author":"P. Flandrin","year":"1992","unstructured":"Flandrin P.: Wavelet analysis and synthesis of fractional brownian motion. IEEE Trans. Inf. Theory 38(2), 910\u2013917 (1992)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"2","key":"139_CR22","doi-asserted-by":"crossref","first-page":"904","DOI":"10.1109\/18.119750","volume":"38","author":"A.H. Tewfik","year":"1992","unstructured":"Tewfik A.H., Kim M.: Correlation structure of the discrete wavelet coefficients of fractional brownian motion. IEEE Trans. Inf. Theory 38(2), 904\u2013909 (1992)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"5","key":"139_CR23","doi-asserted-by":"crossref","first-page":"1609","DOI":"10.1109\/18.333875","volume":"40","author":"R.W. Dijkerman","year":"1994","unstructured":"Dijkerman R.W., Mazumdar R.R.: On the correlation structure of the wavelet coefficients of fractional brownian motion. IEEE Trans. Inf. Theory 40(5), 1609\u20131612 (1994)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"50","key":"139_CR24","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1111\/1467-9892.00157","volume":"20","author":"T. Kato","year":"1999","unstructured":"Kato T., Masry E.: On the spectral density of the wavelet transform of fractional brownian motion. J. Time Ser. Anal. 20(50), 559\u2013563 (1999)","journal-title":"J. Time Ser. Anal."},{"issue":"3","key":"139_CR25","doi-asserted-by":"crossref","first-page":"1039","DOI":"10.1109\/TIT.2004.842575","volume":"51","author":"P.F. Craigmile","year":"2005","unstructured":"Craigmile P.F., Percival D.B.: Asymptotic decorrelation of between-scale wavelet coefficients. IEEE Trans. Inf. Theory 51(3), 1039\u20131048 (2005)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"139_CR26","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1214\/07-SS014","volume":"1","author":"A. Antoniadis","year":"2007","unstructured":"Antoniadis A.: Wavelet methods in statistics: some recent developments and their applications. Stat. Surveys 1, 16\u201355 (2007)","journal-title":"Stat. Surveys"},{"key":"139_CR27","doi-asserted-by":"crossref","DOI":"10.21236\/ADA257251","volume-title":"Sojourns and Extremes of Stochastic Processes","author":"S.M. Berman","year":"1992","unstructured":"Berman S.M.: Sojourns and Extremes of Stochastic Processes. Wadsworth and Brooks\/Cole, USA (1992)"},{"key":"139_CR28","volume-title":"A Wavelet Tour of Signal Processing","author":"S. Mallat","year":"1999","unstructured":"Mallat S.: A Wavelet Tour of Signal Processing, 2nd edn. Academic Press, New York (1999)","edition":"2"},{"key":"139_CR29","doi-asserted-by":"crossref","unstructured":"Coifman, R.R., Donoho, D.L.: Translation invariant de-noising. Lect. Notes Stat. (103), 125\u2013150 (1995)","DOI":"10.1007\/978-1-4612-2544-7_9"},{"issue":"4","key":"139_CR30","doi-asserted-by":"crossref","first-page":"600","DOI":"10.1109\/TIP.2003.819861","volume":"13","author":"Z. Wang","year":"2004","unstructured":"Wang Z., Bovik A.C., Sheikh H.R., Simoncelli E.P.: Image quality assessment: from error visibility to structural similarity. IEEE Trans. Image Process. 13(4), 600\u2013612 (2004)","journal-title":"IEEE Trans. Image Process."},{"key":"139_CR31","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1109\/IGARSS.1996.516245","volume":"1","author":"J.R. Sveinsson","year":"1996","unstructured":"Sveinsson J.R., Benediktsson J.A.: Speckle reduction and enhancement of sar images in the wavelet domain. Geosci. Remote Sens. Symp. IGARSS 1, 63\u201366 (1996)","journal-title":"Geosci. Remote Sens. Symp. IGARSS"},{"issue":"10","key":"139_CR32","doi-asserted-by":"crossref","first-page":"2196","DOI":"10.1109\/TGRS.2002.802473","volume":"40","author":"H. Xie","year":"2002","unstructured":"Xie H., Pierce L.E., Ulaby F.T.: Sar speckle reduction using wavelet denoising and markov random field modeling. IEEE Trans. Geosci. Remote Sens. 40(10), 2196\u20132212 (2002)","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"issue":"11","key":"139_CR33","doi-asserted-by":"crossref","first-page":"3385","DOI":"10.1109\/TIP.2006.881970","volume":"15","author":"F. Argenti","year":"2006","unstructured":"Argenti F., Bianchi T., Alparone L.: Multiresolution map despeckling of sar images based on locally adaptive generalized gaussian pdf modeling. IEEE Trans. Image Process. 15(11), 3385\u20133399 (2006)","journal-title":"IEEE Trans. Image Process."},{"issue":"2","key":"139_CR34","doi-asserted-by":"crossref","first-page":"490","DOI":"10.1137\/040616024","volume":"4","author":"A. Buades","year":"2005","unstructured":"Buades A., Coll B., Morel J.M.: A review of image denoising algorithms, with a new one. Multiscale Model. Simul. 4(2), 490\u2013530 (2005)","journal-title":"Multiscale Model. Simul."},{"issue":"2","key":"139_CR35","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1111\/1467-9868.00071","volume":"59","author":"I.M. Johnstone","year":"1997","unstructured":"Johnstone I.M., Silverman B.W.: Wavelet threshold estimators for data with correlated noise. J. Royal Stat. Soc. Ser. B 59(2), 319\u2013351 (1997)","journal-title":"J. Royal Stat. Soc. Ser. B"},{"issue":"4","key":"139_CR36","doi-asserted-by":"crossref","first-page":"551","DOI":"10.6028\/jres.105.044","volume":"105","author":"J.W. M\u00fcller","year":"2000","unstructured":"M\u00fcller J.W.: Possible advantages of a robust evaluation of comparisons. J. Res. Natl. Inst. Stand. Technol. 105(4), 551\u2013555 (2000)","journal-title":"J. Res. Natl. Inst. Stand. Technol."}],"container-title":["Signal, Image and Video Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11760-009-0139-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11760-009-0139-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11760-009-0139-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,12]],"date-time":"2025-02-12T16:35:49Z","timestamp":1739378149000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11760-009-0139-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,10,8]]},"references-count":36,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,3]]}},"alternative-id":["139"],"URL":"https:\/\/doi.org\/10.1007\/s11760-009-0139-y","relation":{},"ISSN":["1863-1703","1863-1711"],"issn-type":[{"value":"1863-1703","type":"print"},{"value":"1863-1711","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,10,8]]}}}