{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,23]],"date-time":"2026-06-23T10:59:52Z","timestamp":1782212392285,"version":"3.54.5"},"reference-count":57,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T00:00:00Z","timestamp":1649116800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T00:00:00Z","timestamp":1649116800000},"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":["Pattern Anal Applic"],"published-print":{"date-parts":[[2022,11]]},"DOI":"10.1007\/s10044-022-01071-6","type":"journal-article","created":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T09:02:36Z","timestamp":1649149356000},"page":"731-755","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Accurate quaternion fractional-order pseudo-Jacobi\u2013Fourier moments"],"prefix":"10.1007","volume":"25","author":[{"given":"Xiangyang","family":"Wang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuyang","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jialin","family":"Tian","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Panpan","family":"Niu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hongying","family":"Yang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2022,4,5]]},"reference":[{"issue":"8","key":"1071_CR1","first-page":"179","volume":"2","author":"MK Hu","year":"1962","unstructured":"Hu MK (1962) Visual pattern recognition by moment invariants. IRE Trans Inf Theory 2(8):179\u2013187","journal-title":"IRE Trans Inf Theory"},{"issue":"8","key":"1071_CR2","doi-asserted-by":"publisher","first-page":"920","DOI":"10.1364\/JOSA.70.000920","volume":"69","author":"MR Teague","year":"1980","unstructured":"Teague MR (1980) Image-analysis via the general-theory of moments. J Opt Soc Am 69(8):920\u2013930","journal-title":"J Opt Soc Am"},{"issue":"2","key":"1071_CR3","doi-asserted-by":"publisher","first-page":"91","DOI":"10.15579\/gcsr.vol1.ch4","volume":"73","author":"M Pawlak","year":"2014","unstructured":"Pawlak M (2014) Over 50 years of image moments and moment invariants. Gate Comput Sci Res 73(2):91\u2013110","journal-title":"Gate Comput Sci Res"},{"issue":"4","key":"1071_CR4","doi-asserted-by":"publisher","first-page":"556","DOI":"10.1109\/34.3913","volume":"10","author":"CH Teh","year":"1988","unstructured":"Teh CH, Chin RT (1988) On image analysis by the method of moments. IEEE Trans Pattern Anal Mach Intell 10(4):556\u2013561","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"6","key":"1071_CR5","doi-asserted-by":"publisher","first-page":"1748","DOI":"10.1364\/JOSAA.11.001748","volume":"11","author":"YL Sheng","year":"1994","unstructured":"Sheng YL, Shen LX (1994) Orthogonal Fourier\u2013Mellin moments for invariant pattern recognition. J Opt Soc Am 11(6):1748\u20131757","journal-title":"J Opt Soc Am"},{"issue":"9","key":"1071_CR6","doi-asserted-by":"publisher","first-page":"1748","DOI":"10.1364\/JOSAA.19.001748","volume":"19","author":"ZL Ping","year":"2002","unstructured":"Ping ZL, Wu RG, Sheng YL (2002) Image description with Chebyshev\u2013Fourier moments. J Opt Soc Am 19(9):1748\u20131754","journal-title":"J Opt Soc Am"},{"issue":"5","key":"1071_CR7","doi-asserted-by":"publisher","first-page":"489","DOI":"10.1109\/34.55109","volume":"12","author":"A Khotanzad","year":"1990","unstructured":"Khotanzad A, Hong YH (1990) Invariant image recognition by Zernike moments. IEEE Trans Pattern Anal Mach Intell 12(5):489\u2013497","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"4","key":"1071_CR8","doi-asserted-by":"publisher","first-page":"1245","DOI":"10.1016\/j.patcog.2006.07.016","volume":"40","author":"Z Ping","year":"2007","unstructured":"Ping Z, Ren H, Jian Z et al (2007) Generic orthogonal moments: Jacobi\u2013Fourier moments for invariant image description. Pattern Recogn 40(4):1245\u20131254","journal-title":"Pattern Recogn"},{"issue":"4","key":"1071_CR9","doi-asserted-by":"publisher","first-page":"389","DOI":"10.1109\/34.491620","volume":"18","author":"RR Bailey","year":"1996","unstructured":"Bailey RR, Srinath MD (1996) Orthogonal moment features for use with parametric and non-parametric classifiers. IEEE Trans Pattern Anal Mach Intell 18(4):389\u2013399","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"10","key":"1071_CR10","doi-asserted-by":"publisher","first-page":"2093","DOI":"10.1364\/AO.43.002093","volume":"43","author":"G Amu","year":"2004","unstructured":"Amu G, Hasi S, Yang X et al (2004) Image analysis by pseudo-Jacobi (p\u00a0=\u00a04, q\u00a0=\u00a03)-Fourier moments. Appl Opt 43(10):2093\u20132101","journal-title":"Appl Opt"},{"key":"1071_CR11","doi-asserted-by":"crossref","unstructured":"Camacho C, B\u00e1ez-Rojas JJ, Toxqui-Quitl C, Padilla-Vivanco A (2014) Color image reconstruction using quaternion Legendre\u2013Fourier moments in polar pixels. In: 2014 IEEE international conference on mechatronics, electronics and automotive engineering (ICMEAE), Cuernavaca, pp 3\u20138","DOI":"10.1109\/ICMEAE.2014.34"},{"issue":"4","key":"1071_CR12","first-page":"146","volume":"26","author":"G Amu","year":"2015","unstructured":"Amu G, Hasi S, Ai AZ (2015) Research progress of moment invariant image analysis. J Inner Mongolina Agric Univ 26(4):146\u2013150","journal-title":"J Inner Mongolina Agric Univ"},{"issue":"1","key":"1071_CR13","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/3479428","volume":"55","author":"S Qi","year":"2023","unstructured":"Qi S, Zhang Y, Wang C et al (2023) A survey of orthogonal moments for image representation: theory, implementation, and evaluation. ACM Comput Surv 55(1):1\u201335. https:\/\/doi.org\/10.1145\/3479428","journal-title":"ACM Comput Surv"},{"key":"1071_CR14","doi-asserted-by":"publisher","first-page":"1358","DOI":"10.1109\/34.735809","volume":"20","author":"SX Liao","year":"1998","unstructured":"Liao SX, Pawlak M (1998) On the accuracy of Zernike moments for image analysis. IEEE Trans Pattern Anal Mach Intell 20:1358\u20131364","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"6","key":"1071_CR15","doi-asserted-by":"publisher","first-page":"967","DOI":"10.1016\/j.imavis.2006.07.010","volume":"25","author":"CY Wee","year":"2007","unstructured":"Wee CY, Paramesran R (2007) On the computational aspects of Zernike moments. Image Vis Comput 25(6):967\u2013980","journal-title":"Image Vis Comput"},{"issue":"8","key":"1071_CR16","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1117\/1.OE.51.8.087204","volume":"51","author":"R Biswas","year":"2012","unstructured":"Biswas R, Biswas S (2012) Polar Zernike moments and rotational invariance. Opt Eng 51(8):1\u20139","journal-title":"Opt Eng"},{"issue":"9","key":"1071_CR17","doi-asserted-by":"publisher","first-page":"1433","DOI":"10.1016\/0031-3203(95)00011-N","volume":"28","author":"R Mukundan","year":"1995","unstructured":"Mukundan R, Ramakrishnan KR (1995) Fast computation of Legendre and Zernike moments. Pattern Recogn 28(9):1433\u20131442","journal-title":"Pattern Recogn"},{"issue":"1","key":"1071_CR18","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1049\/iet-cvi:20060130","volume":"1","author":"GA Papakostas","year":"2007","unstructured":"Papakostas GA, Boutalis YS, Karras DA, Mertzios BG (2007) Fast numerically stable computation of orthogonal Fourier\u2013Mellin moments. IET Comput Vis 1(1):11\u201316","journal-title":"IET Comput Vis"},{"issue":"2","key":"1071_CR19","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1007\/s11554-009-0135-z","volume":"6","author":"KM Hosny","year":"2011","unstructured":"Hosny KM, Shouman MA, Abdel Salam HM (2011) Fast computation of orthogonal Fourier\u2013Mellin moments in polar coordinates. J Real-Time Image Process 6(2):73\u201380","journal-title":"J Real-Time Image Process"},{"issue":"4","key":"1071_CR20","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1007\/s11554-010-0172-7","volume":"7","author":"E Walia","year":"2012","unstructured":"Walia E, Singh C, Goyal A (2012) On the fast computation of orthogonal Fourier\u2013Mellin moments with improved numerical stability. J Real-Time Image Process 7(4):247\u2013256","journal-title":"J Real-Time Image Process"},{"issue":"7","key":"1071_CR21","doi-asserted-by":"publisher","first-page":"996","DOI":"10.1049\/iet-ipr.2011.0348","volume":"6","author":"Y Xin","year":"2012","unstructured":"Xin Y, Pawlak M, Liao S (2012) Accurate computation of Zernike moments in polar coordinates. IEEE Trans Image Process 6(7):996\u20131004","journal-title":"IEEE Trans Image Process"},{"issue":"1","key":"1071_CR22","doi-asserted-by":"publisher","first-page":"014004","DOI":"10.1117\/1.JMI.3.1.014004","volume":"3","author":"C Camacho-Bello","year":"2016","unstructured":"Camacho-Bello C, Padilla-Vivanco A, Toxqui-Quitl C et al (2016) Reconstruction of color biomedical images by means of quaternion generic Jacobi\u2013Fourier moments in the framework of polar pixels. J Med Imaging 3(1):014004","journal-title":"J Med Imaging"},{"issue":"7","key":"1071_CR23","doi-asserted-by":"publisher","first-page":"1765","DOI":"10.1002\/mma.3600","volume":"39","author":"A Bhrawy","year":"2016","unstructured":"Bhrawy A, Zaky M (2016) A fractional-order Jacobi Tau method for a class of time-fractional PDEs with variable coefficients. Math Methods Appl Sci 39(7):1765\u20131779","journal-title":"Math Methods Appl Sci"},{"key":"1071_CR24","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1016\/j.patrec.2021.06.006","volume":"149","author":"H Vargas-Vargas","year":"2021","unstructured":"Vargas-Vargas H, Camacho-Bello C, Rivera-L\u00f3pez JS et al (2021) Some aspects of fractional-order circular moments for image analysis. Pattern Recogn Lett 149:99\u2013108","journal-title":"Pattern Recogn Lett"},{"issue":"7","key":"1071_CR25","doi-asserted-by":"publisher","first-page":"284","DOI":"10.1016\/j.sigpro.2019.01.019","volume":"160","author":"X Su","year":"2019","unstructured":"Su X, Tao R, Kang X (2019) Analysis and comparison of discrete fractional Fourier transforms. Signal Process 160(7):284\u2013298","journal-title":"Signal Process"},{"issue":"7","key":"1071_CR26","doi-asserted-by":"publisher","first-page":"5498","DOI":"10.1016\/j.apm.2012.10.026","volume":"37","author":"S Kazem","year":"2013","unstructured":"Kazem S, Abbasbandy S, Kumar S (2013) Fractional-order Legendre functions for solving fractional-order differential equations. Appl Math Model 37(7):5498\u20135510","journal-title":"Appl Math Model"},{"key":"1071_CR27","doi-asserted-by":"crossref","unstructured":"Zhang H, Li Z, Liu Y (2016) Fractional orthogonal Fourier\u2013Mellin moments for pattern recognition. In: 2016 Chinese conference on pattern recognition (CCPR). Springer, Singapore, pp 766\u2013778","DOI":"10.1007\/978-981-10-3002-4_62"},{"key":"1071_CR28","doi-asserted-by":"publisher","first-page":"332","DOI":"10.1016\/j.patcog.2018.10.001","volume":"86","author":"R Benouini","year":"2019","unstructured":"Benouini R, Batioua I, Zenkouar K, Zahi A, Najah S, Qjidaa H (2019) Fractional-order orthogonal Chebyshev moments and moment invariants for image representation and pattern recognition. Pattern Recogn 86:332\u2013343","journal-title":"Pattern Recogn"},{"key":"1071_CR29","doi-asserted-by":"publisher","first-page":"107898","DOI":"10.1016\/j.patcog.2021.107898","volume":"115","author":"H Yang","year":"2021","unstructured":"Yang H, Qi S, Tian J et al (2021) Robust and discriminative image representation: fractional-order Jacobi\u2013Fourier moments. Pattern Recogn 115:107898","journal-title":"Pattern Recogn"},{"issue":"4","key":"1071_CR30","doi-asserted-by":"publisher","first-page":"2533","DOI":"10.1016\/j.jfranklin.2020.01.025","volume":"357","author":"KM Hosny","year":"2020","unstructured":"Hosny KM, Darwish MM, Aboelenen T (2020) Novel fractional-order polar harmonic transforms for gray-scale and color image analysis. J Frankl Inst 357(4):2533\u20132560","journal-title":"J Frankl Inst"},{"issue":"4","key":"1071_CR31","doi-asserted-by":"publisher","first-page":"1544","DOI":"10.3390\/s21041544","volume":"21","author":"C Wang","year":"2021","unstructured":"Wang C, Gao H, Yang M et al (2021) Invariant image representation using novel fractional-order polar harmonic Fourier moments. Sensors 21(4):1544","journal-title":"Sensors"},{"key":"1071_CR32","doi-asserted-by":"publisher","first-page":"56637","DOI":"10.1109\/ACCESS.2018.2871952","volume":"6","author":"B Chen","year":"2018","unstructured":"Chen B, Yu M, Su Q, Shim HJ, Shi YQ (2018) Fractional quaternion Zernike moments for robust color image copy-move forgery detection. IEEE Access 6:56637\u201356646","journal-title":"IEEE Access"},{"key":"1071_CR33","first-page":"126061","volume":"400","author":"C Wang","year":"2021","unstructured":"Wang C, Hao Q, Ma B et al (2021) Fractional-order quaternion exponential moments for color images. Appl Math Comput 400:126061","journal-title":"Appl Math Comput"},{"issue":"14","key":"1071_CR34","doi-asserted-by":"publisher","first-page":"21679","DOI":"10.1007\/s11042-021-10717-2","volume":"80","author":"M Yamni","year":"2021","unstructured":"Yamni M, Karmouni H, Sayyouri M et al (2021) Robust zero-watermarking scheme based on novel quaternion radial fractional Charlier moments. Multimed Tools Appl 80(14):21679\u201321708","journal-title":"Multimed Tools Appl"},{"issue":"5","key":"1071_CR35","doi-asserted-by":"publisher","first-page":"1836","DOI":"10.1016\/j.patcog.2014.11.012","volume":"48","author":"R Upneja","year":"2015","unstructured":"Upneja R, Singh C (2015) Fast computation of Jacobi\u2013Fourier moments for invariant image recognition. Pattern Recogn 48(5):1836\u20131843","journal-title":"Pattern Recogn"},{"key":"1071_CR36","doi-asserted-by":"publisher","first-page":"16","DOI":"10.1016\/j.patcog.2017.01.025","volume":"67","author":"JL S\u00e1ez","year":"2017","unstructured":"S\u00e1ez JL (2017) Comments on \u201cfast computation of Jacobi\u2013Fourier moments for invariant image recognition.\u201d Pattern Recogn 67:16\u201322","journal-title":"Pattern Recogn"},{"issue":"3","key":"1071_CR37","doi-asserted-by":"publisher","first-page":"411","DOI":"10.1007\/s10851-012-0335-1","volume":"44","author":"C Singh","year":"2012","unstructured":"Singh C, Upneja R (2012) Accurate computation of orthogonal Fourier Mellin moments. J Math Imaging Vis 44(3):411\u2013431","journal-title":"J Math Imaging Vis"},{"key":"1071_CR38","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1016\/j.ins.2013.01.012","volume":"233","author":"C Singh","year":"2013","unstructured":"Singh C, Walia E, Upneja R (2013) Accurate calculation of Zernike moments. Inf Sci 233:255\u2013275","journal-title":"Inf Sci"},{"issue":"2","key":"1071_CR39","doi-asserted-by":"publisher","first-page":"596","DOI":"10.1109\/TIP.2013.2289997","volume":"23","author":"EG Karakasis","year":"2013","unstructured":"Karakasis EG, Papakostas GA, Koulouriotis DE, Tourassis VD (2013) A unified methodology for computing accurate quaternion color moments and moment invariants. IEEE Trans Image Process 23(2):596\u2013611","journal-title":"IEEE Trans Image Process"},{"issue":"1","key":"1071_CR40","doi-asserted-by":"publisher","first-page":"124","DOI":"10.1364\/JOSAA.31.000124","volume":"31","author":"C Camacho-Bello","year":"2014","unstructured":"Camacho-Bello C (2014) High-precision and fast computation of Jacobi\u2013Fourier moments for image description. J Opt Soc Am 31(1):124\u2013134","journal-title":"J Opt Soc Am"},{"key":"1071_CR41","volume-title":"Elements of quaternions","author":"WR Hamilton","year":"1866","unstructured":"Hamilton WR (1866) Elements of quaternions. Longmans, Green, & Company, London"},{"issue":"1","key":"1071_CR42","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1117\/1.JMI.3.1.014004","volume":"3","author":"C Camacho-Bello","year":"2016","unstructured":"Camacho-Bello C, Padilla-Vivanco A, Toxqui-Quitl C et al (2016) Reconstruction of color biomedical images by means of quaternion generic Jacobi\u2013Fourier moments in the framework of polar pixels. J Med Imaging 3(1):57\u201366","journal-title":"J Med Imaging"},{"issue":"5","key":"1071_CR43","doi-asserted-by":"publisher","first-page":"58","DOI":"10.1109\/79.879339","volume":"17","author":"APF Petitcolas","year":"2000","unstructured":"Petitcolas APF (2000) Watermarking schemes evaluation. IEEE Signal Process Mag 17(5):58\u201364","journal-title":"IEEE Signal Process Mag"},{"key":"1071_CR44","first-page":"214","volume":"31","author":"Q Wen","year":"2003","unstructured":"Wen Q, Sun TF, Wang SX (2003) Concept and application of zero-watermark. Acta Electron Sin 31:214\u2013216","journal-title":"Acta Electron Sin"},{"key":"1071_CR45","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/j.image.2016.09.001","volume":"48","author":"Z Shao","year":"2016","unstructured":"Shao Z, Shang Y, Zeng R, Shu H, Coatrieux G, Wu J (2016) Robust watermarking scheme for color image based on quaternion-type moment invariants and visual cryptography. Signal Process Image Commun 48:12\u201321","journal-title":"Signal Process Image Commun"},{"key":"1071_CR46","unstructured":"The Whole Brain Atlas. http:\/\/www.med.harvard.edu\/AANLIB\/home.html"},{"key":"1071_CR47","doi-asserted-by":"publisher","first-page":"115747","DOI":"10.1016\/j.image.2019.115747","volume":"82","author":"H Yang","year":"2020","unstructured":"Yang H, Qi S, Niu P, Wang X (2020) Color image zero-watermarking based on fast quaternion generic polar complex exponential transform. Signal Process Image Commun 82:115747","journal-title":"Signal Process Image Commun"},{"key":"1071_CR48","doi-asserted-by":"publisher","first-page":"108","DOI":"10.1016\/j.sigpro.2018.11.011","volume":"157","author":"ZQ Xia","year":"2019","unstructured":"Xia ZQ, Wang XY, Zhou W, Li R, Wang C, Zhang C (2019) Color medical image lossless watermarking using chaotic system and accurate quaternion Polar Harmonic transforms. Signal Process 157:108\u2013118","journal-title":"Signal Process"},{"issue":"24","key":"1071_CR49","doi-asserted-by":"publisher","first-page":"26355","DOI":"10.1007\/s11042-016-4130-7","volume":"76","author":"CP Wang","year":"2017","unstructured":"Wang CP, Wang XY, Chen XJ, Zhang C (2017) Robust zero-watermarking algorithm based on polar complex exponential transform and logistic mapping. Multimed Tools Appl 76(24):26355\u201326376","journal-title":"Multimed Tools Appl"},{"key":"1071_CR50","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1016\/j.jvcir.2016.10.004","volume":"41","author":"CP Wang","year":"2016","unstructured":"Wang CP, Wang XY, Xia ZQ, Zhang C, Chen XJ (2016) Geometrically resilient color image zero-watermarking algorithm based on quaternion exponent moments. J Vis Commun Image Represent 41:247\u2013259","journal-title":"J Vis Commun Image Represent"},{"issue":"7","key":"1071_CR51","doi-asserted-by":"publisher","first-page":"1118","DOI":"10.1016\/j.jss.2007.07.036","volume":"81","author":"CC Chang","year":"2008","unstructured":"Chang CC, Lin PY (2008) Adaptive watermark mechanism for rightful ownership protection. J Syst Softw 81(7):1118\u20131129","journal-title":"J Syst Softw"},{"key":"1071_CR52","unstructured":"The USC-SIPI image database. http:\/\/sipi.usc.edu\/database\/"},{"key":"1071_CR53","doi-asserted-by":"publisher","first-page":"0165","DOI":"10.1016\/j.sigpro.2020.107864","volume":"180","author":"Z Xia","year":"2021","unstructured":"Xia Z, Wang X, Han B et al (2021) Color image triple zero-watermarking using decimal-order polar harmonic transforms and chaotic system. Signal Process 180:0165\u20131684","journal-title":"Signal Process"},{"key":"1071_CR54","doi-asserted-by":"publisher","first-page":"1047","DOI":"10.1016\/j.jvcir.2020.102804","volume":"70","author":"X Kang","year":"2020","unstructured":"Kang X, Zhao F, Chen Y et al (2020) Combining polar harmonic transforms and 2D compound chaotic map for distinguishable and robust color image zero-watermarking algorithm. J Vis Commun Image Represent 70:1047\u20133203","journal-title":"J Vis Commun Image Represent"},{"issue":"4","key":"1071_CR55","doi-asserted-by":"publisher","first-page":"700","DOI":"10.3390\/app9040700","volume":"9","author":"J Liu","year":"2019","unstructured":"Liu J, Li J, Ma J et al (2019) A robust multi-watermarking algorithm for medical images based on DTCWT-DCT and Henon map. Appl Sci 9(4):700\u2013722","journal-title":"Appl Sci"},{"key":"1071_CR56","unstructured":"Coil-100. http:\/\/www.cs.columbia.edu\/CAVE\/software\/softlib\/coil-100.php"},{"key":"1071_CR57","doi-asserted-by":"publisher","first-page":"708","DOI":"10.1007\/s10851-020-01002-2","volume":"63","author":"XY Wang","year":"2021","unstructured":"Wang XY, Wang L, Tian JL et al (2021) Color image zero-watermarking using accurate quaternion generalized orthogonal Fourier\u2013Mellin moments. J Math Imaging Vis 63:708\u2013734","journal-title":"J Math Imaging Vis"}],"container-title":["Pattern Analysis and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10044-022-01071-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10044-022-01071-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10044-022-01071-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,10,23]],"date-time":"2022-10-23T09:07:55Z","timestamp":1666516075000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10044-022-01071-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,4,5]]},"references-count":57,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2022,11]]}},"alternative-id":["1071"],"URL":"https:\/\/doi.org\/10.1007\/s10044-022-01071-6","relation":{},"ISSN":["1433-7541","1433-755X"],"issn-type":[{"value":"1433-7541","type":"print"},{"value":"1433-755X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,4,5]]},"assertion":[{"value":"10 July 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 March 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 April 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"All procedures performed in studies involving human participants were in accordance with the ethical standards of the institutional and\/or national research committee and with the 1964 Helsinki Declaration and its later amendments or comparable ethical standards.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical standards"}},{"value":"Informed consent was obtained from all individual participants included in the study.","order":4,"name":"Ethics","group":{"name":"EthicsHeading","label":"Informed consent"}}]}}