{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,17]],"date-time":"2026-07-17T12:25:27Z","timestamp":1784291127302,"version":"3.55.0"},"reference-count":36,"publisher":"Springer Science and Business Media LLC","issue":"9","license":[{"start":{"date-parts":[[2021,2,19]],"date-time":"2021-02-19T00:00:00Z","timestamp":1613692800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,2,19]],"date-time":"2021-02-19T00:00:00Z","timestamp":1613692800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2021,9]]},"DOI":"10.1007\/s00034-021-01678-w","type":"journal-article","created":{"date-parts":[[2021,2,20]],"date-time":"2021-02-20T00:13:05Z","timestamp":1613779985000},"page":"4516-4545","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["A Statistical Color Image Watermarking Scheme Using Local QPCET and Cauchy\u2013Rayleigh Distribution"],"prefix":"10.1007","volume":"40","author":[{"given":"Panpan","family":"Niu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Li","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jialin","family":"Tian","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Siyu","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiangyang","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2021,2,19]]},"reference":[{"issue":"1","key":"1678_CR1","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1109\/TCI.2018.2794065","volume":"4","author":"B Ahmaderaghi","year":"2018","unstructured":"B. Ahmaderaghi, F. Kurugollu, J.M.D. Rincon, Blind image watermark detection algorithm based on discrete Shearlet transform using statistical decision theory. IEEE Trans. Comput. Imaging 4(1), 46\u201359 (2018)","journal-title":"IEEE Trans. Comput. Imaging"},{"key":"1678_CR2","doi-asserted-by":"crossref","unstructured":"M. Amini, H. Sadreazami, M.O. Ahmad, M.N.S. Swamy, Multichannel color image watermark detection utilizing vector-based hidden Markov model, in IEEE International Symposium on Circuits and Systems (ISCAS), Baltimore, MD, USA (2017), pp. 1\u20134","DOI":"10.1109\/ISCAS.2017.8050596"},{"issue":"1","key":"1678_CR3","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1109\/TMM.2018.2851447","volume":"21","author":"M Amini","year":"2019","unstructured":"M. Amini, H. Sadreazami, M.O. Ahmad, M.N.S. Swamy, A channel-dependent statistical watermark detector for color images. IEEE Trans. Multimed. 21(1), 65\u201373 (2019)","journal-title":"IEEE Trans. Multimed."},{"key":"1678_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.ins.2016.06.037","volume":"370","author":"M Amirmazlaghani","year":"2016","unstructured":"M. Amirmazlaghani, Additive watermark detection in the wavelet domain using 2D-GARCH model. Inf. Sci. 370, 1\u201317 (2016)","journal-title":"Inf. Sci."},{"issue":"4","key":"1678_CR5","doi-asserted-by":"publisher","first-page":"1960","DOI":"10.1016\/j.eswa.2014.10.015","volume":"42","author":"M Amirmazlaghani","year":"2015","unstructured":"M. Amirmazlaghani, M. Rezghi, H. Amindavar, A novel robust scaling image watermarking scheme based on Gaussian mixture model. Expert Syst. Appl. 42(4), 1960\u20131971 (2015)","journal-title":"Expert Syst. Appl."},{"issue":"5","key":"1678_CR6","doi-asserted-by":"publisher","first-page":"755","DOI":"10.1109\/83.918568","volume":"10","author":"M Barni","year":"2001","unstructured":"M. Barni, F. Bartolini, A.D. Rosa, A. Piva, A new decoder for the optimum recovery of nonadditive watermarks. IEEE Trans. Image Process. 10(5), 755\u2013766 (2001)","journal-title":"IEEE Trans. Image Process."},{"issue":"3","key":"1678_CR7","doi-asserted-by":"publisher","first-page":"537","DOI":"10.1109\/TPAMI.2018.2803828","volume":"41","author":"A Bera","year":"2018","unstructured":"A. Bera, P. Kl\u0119sk, D. Sychel, Constant-time calculation of Zernike moments for detection with rotational invariance. IEEE Trans. Pattern Anal. Mach. Intell. 41(3), 537\u2013551 (2018)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"1678_CR8","first-page":"1","volume":"3","author":"P Bhinder","year":"2018","unstructured":"P. Bhinder, K. Singh, N. Jindal, Image-adaptive watermarking using maximum likelihood decoder for medical image. Multimed. Tools Appl. 3, 1\u201326 (2018)","journal-title":"Multimed. Tools Appl."},{"key":"1678_CR9","first-page":"1","volume":"7","author":"H Bi","year":"2016","unstructured":"H. Bi, Y. Liu, M. Wu, Y. Ge, NSCT domain additive watermark detection using RAO hypothesis test and Cauchy distribution. Math. Probl. Eng. 7, 1\u201318 (2016)","journal-title":"Math. Probl. Eng."},{"issue":"6","key":"1678_CR10","doi-asserted-by":"publisher","first-page":"2372","DOI":"10.1109\/TIP.2013.2246177","volume":"22","author":"Y Bian","year":"2013","unstructured":"Y. Bian, S. Liang, Locally optimal detection of image watermarks in the wavelet domain using Bessel K form distribution. IEEE Trans. Image Process. 22(6), 2372\u20132384 (2013)","journal-title":"IEEE Trans. Image Process."},{"issue":"4","key":"1678_CR11","doi-asserted-by":"publisher","first-page":"281","DOI":"10.1049\/iet-ipr.2012.0345","volume":"7","author":"Y Bian","year":"2013","unstructured":"Y. Bian, S. Liang, Image watermark detection in the wavelet domain using Bessel k densities. IET Image Proc. 7(4), 281\u2013289 (2013)","journal-title":"IET Image Proc."},{"issue":"2","key":"1678_CR12","first-page":"1","volume":"76","author":"L Dong","year":"2016","unstructured":"L. Dong, Q. Yan, Y. Lv, S. Deng, Full band watermarking in DCT domain with Weibull model. Multimed. Tools Appl. 76(2), 1\u201318 (2016)","journal-title":"Multimed. Tools Appl."},{"key":"1678_CR13","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1016\/j.patcog.2017.12.006","volume":"77","author":"S Etemad","year":"2018","unstructured":"S. Etemad, M. Amirmazlaghani, A new multiplicative watermark detector in the Contourlet domain using t location-scale distribution. Pattern Recogn. 77, 99\u2013112 (2018)","journal-title":"Pattern Recogn."},{"issue":"1","key":"1678_CR14","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1109\/83.817598","volume":"9","author":"JR Hernandez","year":"2000","unstructured":"J.R. Hernandez, M. Amado, F. Perez-Gonzalez, DCT-domain watermarking techniques for still images: detector performance analysis and a new structure. IEEE Trans. Image Process. 9(1), 55\u201368 (2000)","journal-title":"IEEE Trans. Image Process."},{"issue":"7","key":"1678_CR15","doi-asserted-by":"publisher","first-page":"1142","DOI":"10.1109\/5.771069","volume":"87","author":"JR Hern\u00e1ndez","year":"1999","unstructured":"J.R. Hern\u00e1ndez, F. P\u00e9rez-Gonz\u00e1lez, Statistical analysis of watermarking schemes for copyright protection of images. Proc. IEEE 87(7), 1142\u20131166 (1999)","journal-title":"Proc. IEEE"},{"issue":"2","key":"1678_CR16","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/3325193","volume":"15","author":"KM Hosny","year":"2019","unstructured":"K.M. Hosny, M.M. Darwish, Resilient color image watermarking using accurate quaternion radial substituted Chebyshev moments. ACM Trans. Multimed. Comput. Commun. Appl. 15(2), 1\u201346 (2019)","journal-title":"ACM Trans. Multimed. Comput. Commun. Appl."},{"issue":"3","key":"1678_CR17","doi-asserted-by":"publisher","first-page":"625","DOI":"10.1109\/TCSVT.2018.2809585","volume":"29","author":"G Hua","year":"2019","unstructured":"G. Hua, L. Zhao, H. Zhang, G. Bi, Random matching pursuit for image watermarking. IEEE Trans. Circuits Syst. Video Technol. 29(3), 625\u2013639 (2019)","journal-title":"IEEE Trans. Circuits Syst. Video Technol."},{"key":"1678_CR18","unstructured":"http:\/\/decsai.ugr.es\/cvg\/dbimagenes\/index.php"},{"issue":"3","key":"1678_CR19","doi-asserted-by":"publisher","first-page":"396","DOI":"10.1109\/TCSVT.2009.2035842","volume":"20","author":"NK Kalantari","year":"2010","unstructured":"N.K. Kalantari, S.M. Ahadi, M. Vafadust, A robust image watermarking in the Ridgelet domain using universally optimum decoder. IEEE Trans. Circuits Syst. Video Technol. 20(3), 396\u2013406 (2010)","journal-title":"IEEE Trans. Circuits Syst. Video Technol."},{"issue":"2","key":"1678_CR20","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1002\/tee.22047","volume":"10","author":"A Khawne","year":"2015","unstructured":"A. Khawne, B. Attachoo, K. Hamamoto, Optimum watermark detection of ultrasonic echo medical images. IEEJ Trans. Electr. Electron. Eng. 10(2), 149\u2013156 (2015)","journal-title":"IEEJ Trans. Electr. Electron. Eng."},{"issue":"4","key":"1678_CR21","doi-asserted-by":"publisher","first-page":"527","DOI":"10.1109\/TIP.2003.818017","volume":"13","author":"EE Kuruoglu","year":"2004","unstructured":"E.E. Kuruoglu, J. Zerubia, Modeling SAR images with a generalization of the Rayleigh distribution. IEEE Trans. Image Process. 13(4), 527\u2013533 (2004)","journal-title":"IEEE Trans. Image Process."},{"key":"1678_CR22","doi-asserted-by":"crossref","unstructured":"R. Kwitt, P. Meerwald, A Uhl, Color-image watermarking using multivariate power-exponential distribution, in The 16th IEEE International Conference on Image Processing, Cairo, Egypt (2009), pp. 4245\u20134248","DOI":"10.1109\/ICIP.2009.5413715"},{"issue":"2","key":"1678_CR23","doi-asserted-by":"publisher","first-page":"474","DOI":"10.1109\/TIP.2010.2064327","volume":"20","author":"R Kwitt","year":"2011","unstructured":"R. Kwitt, P. Meerwald, A. Uhl, Lightweight detection of additive watermarking in the DWT-domain. IEEE Trans. Image Process. 20(2), 474\u2013484 (2011)","journal-title":"IEEE Trans. Image Process."},{"key":"1678_CR24","doi-asserted-by":"crossref","unstructured":"L. Li, X. Li, T. Qiao, X. Xu, S. Zhang, A novel framework of robust video watermarking based on statistical model, in The 4th International Conference on Cloud Computing and Security (ICCCS 2018), Haikou, China (2018), pp. 160\u2013172","DOI":"10.1007\/978-3-030-00015-8_14"},{"key":"1678_CR25","doi-asserted-by":"crossref","unstructured":"J.H. Liu, An image watermarking algorithm based on energy scheme in the wavelet transform domain, in IEEE 3rd International Conference on Image, Vision and Computing (ICIVC), Chongqing, China (2018), pp. 668\u2013672","DOI":"10.1109\/ICIVC.2018.8492868"},{"key":"1678_CR26","doi-asserted-by":"crossref","unstructured":"A. Mairgiotis, C. Koliopanos, L.P. Kondi, Rao based watermark detector through two-level hierarchical prior in transform domain, in Proceedings of the 21st Pan-Hellenic Conference on Informatics (PCI 2017), Larissa, Greece (2017), pp. 1\u20136","DOI":"10.1145\/3139367.3139444"},{"key":"1678_CR27","doi-asserted-by":"publisher","first-page":"324","DOI":"10.1016\/j.jvcir.2016.07.001","volume":"40","author":"M Rabizadeh","year":"2016","unstructured":"M. Rabizadeh, M. Amirmazlaghani, M. Ahmadian-Attari, A new detector for Contourlet domain multiplicative image watermarking using Bessel K form distribution. J. Vis. Commun. Image Represent. 40, 324\u2013334 (2016)","journal-title":"J. Vis. Commun. Image Represent."},{"issue":"8","key":"1678_CR28","doi-asserted-by":"publisher","first-page":"1782","DOI":"10.1109\/TIP.2009.2021313","volume":"18","author":"SMM Rahman","year":"2009","unstructured":"S.M.M. Rahman, M.O. Ahmad, M.N.S. Swamy, A new statistical detector for DWT-based additive image watermarking using the Gauss\u2013Hermite expansion. IEEE Trans. Image Process. 18(8), 1782\u20131796 (2009)","journal-title":"IEEE Trans. Image Process."},{"issue":"10","key":"1678_CR29","doi-asserted-by":"publisher","first-page":"4348","DOI":"10.1109\/TIP.2014.2339633","volume":"23","author":"H Sadreazami","year":"2014","unstructured":"H. Sadreazami, M.O. Ahmad, M.N.S. Swamy, A study of multiplicative watermark detection in the contourlet domain using alpha-stable distributions. IEEE Trans. Image Process. 23(10), 4348\u20134360 (2014)","journal-title":"IEEE Trans. Image Process."},{"issue":"12","key":"1678_CR30","doi-asserted-by":"publisher","first-page":"1159","DOI":"10.1109\/TCSII.2015.2468995","volume":"62","author":"H Sadreazami","year":"2015","unstructured":"H. Sadreazami, M.O. Ahmad, M.N.S. Swamy, A robust multiplicative watermark detector for color images in sparse domain. IEEE Trans. Circuits Syst. II Express Briefs 62(12), 1159\u20131163 (2015)","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"},{"issue":"2","key":"1678_CR31","doi-asserted-by":"publisher","first-page":"196","DOI":"10.1109\/TMM.2015.2508147","volume":"18","author":"H Sadreazami","year":"2016","unstructured":"H. Sadreazami, M.O. Ahmad, M.N.S. Swamy, Multiplicative watermark decoder in contourlet domain using the normal inverse Gaussian distribution. IEEE Trans. Multimed. 18(2), 196\u2013207 (2016)","journal-title":"IEEE Trans. Multimed."},{"issue":"1","key":"1678_CR32","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1109\/TCSII.2018.2846547","volume":"66","author":"H Sadreazami","year":"2019","unstructured":"H. Sadreazami, M. Amini, A robust image watermarking scheme using local statistical distribution in the Contourlet domain. IEEE Trans. Circuits Syst. II Express Briefs 66(1), 151\u2013155 (2019)","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"},{"key":"1678_CR33","unstructured":"K.C. Sharman, G.D. McClurkin, Genetic algorithms for maximum likelihood parameter estimation, in International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Glasgow, UK (1989), pp. 1520\u20136149"},{"key":"1678_CR34","doi-asserted-by":"crossref","first-page":"951","DOI":"10.1016\/j.amc.2015.01.075","volume":"256","author":"XY Wang","year":"2015","unstructured":"X.Y. Wang, W.Y. Li, H.Y. Yang, P. Wang, Y.W. Li, Quaternion polar complex exponential transform for invariant color image description. Appl. Math. Comput. 256, 951\u2013967 (2015)","journal-title":"Appl. Math. Comput."},{"issue":"1","key":"1678_CR35","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1016\/j.sigpro.2007.07.012","volume":"88","author":"J Wang","year":"2008","unstructured":"J. Wang, G. Liu, Y. Dai, J. Sun, Z. Wang, S. Lian, Locally optimum detection for Barni\u2019s multiplicative watermarking in DWT domain. Signal Process. 88(1), 117\u2013130 (2008)","journal-title":"Signal Process."},{"issue":"7","key":"1678_CR36","doi-asserted-by":"publisher","first-page":"1259","DOI":"10.1109\/TPAMI.2009.119","volume":"32","author":"PT Yap","year":"2010","unstructured":"P.T. Yap, X. Jiang, A.C. Kot, Two-dimensional polar harmonic transforms for invariant image representation. IEEE Trans. Pattern Anal. Mach. Intell. 32(7), 1259\u20131270 (2010)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-021-01678-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00034-021-01678-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-021-01678-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,30]],"date-time":"2023-10-30T14:28:31Z","timestamp":1698676111000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00034-021-01678-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,2,19]]},"references-count":36,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2021,9]]}},"alternative-id":["1678"],"URL":"https:\/\/doi.org\/10.1007\/s00034-021-01678-w","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,2,19]]},"assertion":[{"value":"14 November 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 February 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 February 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 February 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}