{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,6]],"date-time":"2025-11-06T20:07:29Z","timestamp":1762459649273,"version":"3.37.3"},"reference-count":45,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2018,7,30]],"date-time":"2018-07-30T00:00:00Z","timestamp":1532908800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Pattern Anal Applic"],"published-print":{"date-parts":[[2019,8]]},"DOI":"10.1007\/s10044-018-0740-1","type":"journal-article","created":{"date-parts":[[2018,7,30]],"date-time":"2018-07-30T10:45:05Z","timestamp":1532947505000},"page":"1105-1122","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":24,"title":["Invariant color images representation using accurate quaternion Legendre\u2013Fourier moments"],"prefix":"10.1007","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8065-8977","authenticated-orcid":false,"given":"Khalid M.","family":"Hosny","sequence":"first","affiliation":[]},{"given":"Mohamed M.","family":"Darwish","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,7,30]]},"reference":[{"issue":"8","key":"740_CR1","doi-asserted-by":"publisher","first-page":"920","DOI":"10.1364\/JOSA.70.000920","volume":"70","author":"MR Teague","year":"1980","unstructured":"Teague MR (1980) Image analysis via the general theory of moments. J Opt Soc Am 70(8):920\u2013930","journal-title":"J Opt Soc Am"},{"issue":"1","key":"740_CR2","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1016\/j.patcog.2003.06.003","volume":"37","author":"CW Chong","year":"2004","unstructured":"Chong CW, Raveendran P, Mukundan R (2004) Translation and scale invariants of Legendre moments. Pattern Recognit 37(1):119\u2013129","journal-title":"Pattern Recognit"},{"issue":"7","key":"740_CR3","doi-asserted-by":"publisher","first-page":"533","DOI":"10.1016\/j.patrec.2009.12.008","volume":"31","author":"KM Hosny","year":"2010","unstructured":"Hosny KM (2010) Refined translation and scale Legendre moment invariants. Pattern Recognit Lett 31(7):533\u2013538","journal-title":"Pattern Recognit Lett"},{"key":"740_CR4","first-page":"176","volume":"4","author":"KM Hosny","year":"2010","unstructured":"Hosny KM (2010) New set of rotationally Legendre moment invariants. Int J Electr Electron Eng 4:176\u2013180","journal-title":"Int J Electr Electron Eng"},{"issue":"8","key":"740_CR5","doi-asserted-by":"publisher","first-page":"2189","DOI":"10.1109\/TIP.2011.2118216","volume":"20","author":"H Zhang","year":"2011","unstructured":"Zhang H, Shu H, Coatrieux G, Zhu J, Wu QMJ, Zhang Y, Zhu H, Luo L (2011) Affine Legendre moment invariants for image watermarking robust to geometric distortions. IEEE Trans Image Process 20(8):2189\u20132199","journal-title":"IEEE Trans Image Process"},{"issue":"3","key":"740_CR6","first-page":"160","volume":"5","author":"R Luo","year":"2007","unstructured":"Luo R, Lin Tusheng (2007) Finger crease pattern recognition using Legendre moments and principal component analysis. Chin Opt Lett 5(3):160\u2013163","journal-title":"Chin Opt Lett"},{"issue":"2","key":"740_CR7","first-page":"69","volume":"2","author":"CS Rao","year":"2010","unstructured":"Rao CS, Srinivas Kumar S, Chandra Mohan B (2010) Content based image retrieval using exact Legendre moments and support vector machine. Int J Multimed Appl 2(2):69\u201379","journal-title":"Int J Multimed Appl"},{"issue":"3","key":"740_CR8","doi-asserted-by":"publisher","first-page":"596","DOI":"10.1109\/TIP.2009.2036702","volume":"19","author":"H Zhang","year":"2010","unstructured":"Zhang H, Shu H, Han GN, Coatrieux G, Luo L, Coatrieux JL (2010) Blurred image recognition by Legendre moment invariants. IEEE Trans Image Process 19(3):596\u2013611","journal-title":"IEEE Trans Image Process"},{"key":"740_CR9","doi-asserted-by":"publisher","first-page":"78","DOI":"10.1016\/j.jvcir.2016.11.008","volume":"42","author":"P Srivastava","year":"2017","unstructured":"Srivastava P, Khare Ashish (2017) Integration of wavelet transform, Local Binary Patterns and moments for content-based image retrieval. J Vis Commun Image Represent 42:78\u2013103","journal-title":"J Vis Commun Image Represent"},{"issue":"1\u20132","key":"740_CR10","doi-asserted-by":"publisher","first-page":"86","DOI":"10.1016\/j.chroma.2005.06.100","volume":"1096","author":"E Marengo","year":"2005","unstructured":"Marengo E, Bobba M, Liparota MC, Robotti E, Righetti PG (2005) Use of Legendre moments for the fast comparison of two-dimensional polyacrylamide gel electrophoresis maps images. J Chromatogr A 1096(1\u20132):86\u201391","journal-title":"J Chromatogr A"},{"issue":"13","key":"740_CR11","doi-asserted-by":"publisher","first-page":"1868","DOI":"10.1016\/j.patrec.2008.06.003","volume":"29","author":"VS Bharathi","year":"2008","unstructured":"Bharathi VS, Ganesan L (2008) Orthogonal moments-based texture analysis of CT liver images. Pattern Recognit Lett 29(13):1868\u20131872","journal-title":"Pattern Recognit Lett"},{"issue":"4","key":"740_CR12","doi-asserted-by":"publisher","first-page":"687","DOI":"10.18520\/cs\/v110\/i4\/687-691","volume":"110","author":"B Vijayalakshmi","year":"2016","unstructured":"Vijayalakshmi B, Subbiah Bharathi V (2016) Classification of CT liver images using local binary pattern with Legendre moments. Curr Sci 110(4):687\u2013691","journal-title":"Curr Sci"},{"issue":"10","key":"740_CR13","doi-asserted-by":"publisher","first-page":"1083","DOI":"10.3844\/jcssp.2010.1083.1087","volume":"6","author":"KM Hosny","year":"2010","unstructured":"Hosny KM (2010) Robust template matching using orthogonal Legendre moment invariants. J Comput Sci 6(10):1083\u20131087","journal-title":"J Comput Sci"},{"issue":"6","key":"740_CR14","doi-asserted-by":"publisher","first-page":"1349","DOI":"10.1080\/2150704X.2016.1151568","volume":"37","author":"F Mirzapour","year":"2016","unstructured":"Mirzapour F, Ghassemian Hassan (2016) Moment-based feature extraction from high spatial resolution hyperspectral images. Int J Remote Sens 37(6):1349\u20131361","journal-title":"Int J Remote Sens"},{"issue":"2","key":"740_CR15","doi-asserted-by":"publisher","first-page":"912","DOI":"10.1016\/j.ijleo.2015.10.196","volume":"127","author":"Q Suna","year":"2016","unstructured":"Suna Q, Liua R, Yu F (2016) An extraction method of laser stripe centre based on Legendre moment. Opt Int J Light Electron Opt 127(2):912\u2013915","journal-title":"Opt Int J Light Electron Opt"},{"issue":"9","key":"740_CR16","doi-asserted-by":"publisher","first-page":"1242","DOI":"10.1016\/j.cageo.2010.09.007","volume":"37","author":"H Mustapha","year":"2011","unstructured":"Mustapha H, Dimitrakopoulos Roussos (2011) HOSIM: a high-order stochastic simulation algorithm for generating three-dimensional complex geological patterns. Comput Geosci 37(9):1242\u20131253","journal-title":"Comput Geosci"},{"issue":"1","key":"740_CR17","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1016\/j.media.2014.12.005","volume":"24","author":"S Dahdouha","year":"2015","unstructured":"Dahdouha S, Angelinia ED, Grang\u00e9b G, Blocha I (2015) Segmentation of embryonic and fetal 3D ultrasound images based on pixel intensity distributions and shape priors. Med Image Anal 24(1):255\u2013268","journal-title":"Med Image Anal"},{"issue":"8","key":"740_CR18","doi-asserted-by":"publisher","first-page":"717","DOI":"10.1049\/iet-ipr.2010.0471","volume":"6","author":"A Nakib","year":"2012","unstructured":"Nakib A, Schulze Y, Petit E (2012) Image thresholding framework based on two-dimensional digital fractional integration and Legendre moments. IET Image Process 6(8):717\u2013727","journal-title":"IET Image Process"},{"key":"740_CR19","unstructured":"Wojak J, Angelini ED, Bloch I (2010) Introducing shape constraint via Legendre moments in a variational framework for cardiac segmentation on non-contrast CT images. In: VISAPP 2010, Angers, France, pp 209\u2013214"},{"key":"740_CR20","doi-asserted-by":"crossref","unstructured":"Hosny KM, Papakostas GA, Koulouriotis DE (2013) Accurate reconstruction of noisy medical images using orthogonal moments. In: 18th international conference on digital signal processing (DSP)","DOI":"10.1109\/ICDSP.2013.6622675"},{"issue":"8","key":"740_CR21","doi-asserted-by":"publisher","first-page":"735","DOI":"10.1080\/01411594.2012.664275","volume":"85","author":"SS Sastry","year":"2012","unstructured":"Sastry SS, Mallika K, Gowri B, Rao S, Ha ST, Lakshminarayana S (2012) Novel approach to study liquid crystal phase transitions using Legendre moments. Phase Trans 85(8):735\u2013749","journal-title":"Phase Trans"},{"issue":"2","key":"740_CR22","doi-asserted-by":"publisher","first-page":"433","DOI":"10.1007\/s11554-014-0465-3","volume":"14","author":"Z Bahaoui","year":"2014","unstructured":"Bahaoui Z, Zenkouar K, Fadili H, Qjidaa H, Zarghili A (2018) Blocking artifact removal using partial overlapping based on exact Legendre moments computation. J Real-Time Image Process 14(2):433\u2013451","journal-title":"J Real-Time Image Process"},{"issue":"12","key":"740_CR23","doi-asserted-by":"publisher","first-page":"3597","DOI":"10.1016\/j.patcog.2007.04.014","volume":"40","author":"KM Hosny","year":"2007","unstructured":"Hosny KM (2007) Exact Legendre moment computation for gray level images. Pattern Recognit 40(12):3597\u20133605","journal-title":"Pattern Recognit"},{"issue":"9","key":"740_CR24","doi-asserted-by":"publisher","first-page":"1305","DOI":"10.1016\/j.patrec.2011.03.011","volume":"32","author":"KM Hosny","year":"2011","unstructured":"Hosny KM (2011) Fast and low-complexity method for exact computation of 3D Legendre moments. Pattern Recognit Lett 32(9):1305\u20131314","journal-title":"Pattern Recognit Lett"},{"issue":"3","key":"740_CR25","doi-asserted-by":"publisher","first-page":"414","DOI":"10.1016\/j.imavis.2009.06.011","volume":"29","author":"GA Papakostas","year":"2010","unstructured":"Papakostas GA, Karakasis EG, Koulouriotis DE (2010) Accurate and speedy computation of image Legendre moments for computer vision applications. Image Vision Comput 29(3):414\u2013423","journal-title":"Image Vision Comput"},{"issue":"12","key":"740_CR26","doi-asserted-by":"publisher","first-page":"1996","DOI":"10.1109\/TPAMI.2005.232","volume":"27","author":"P-T Yap","year":"2005","unstructured":"Yap P-T, Paramesran R (2005) An efficient method for the computation of Legendre moments. IEEE Trans Pattern Anal Mach Intell 27(12):1996\u20132002","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"12","key":"740_CR27","doi-asserted-by":"publisher","first-page":"994","DOI":"10.1016\/j.imavis.2014.09.002","volume":"32","author":"B Xiao","year":"2014","unstructured":"Xiao B, Wang G, Li W (2014) Radial shifted Legendre moments for image analysis and invariant image recognition. Image Vis Comput 32(12):994\u20131006","journal-title":"Image Vis Comput"},{"issue":"2","key":"740_CR28","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1016\/j.patcog.2010.08.017","volume":"44","author":"L Guo","year":"2011","unstructured":"Guo L, Zhu M (2011) Quaternion Fourier-Mellin moments for color images. Pattern Recognit 44(2):187\u2013195","journal-title":"Pattern Recognit"},{"issue":"2","key":"740_CR29","doi-asserted-by":"publisher","first-page":"308","DOI":"10.1016\/j.sigpro.2011.07.018","volume":"92","author":"BJ Chen","year":"2012","unstructured":"Chen BJ, Shu HZ, Zhang H, Chen G, Toumoulin C, Dillenseger JL, Luo LM (2012) Quaternion Zernike moments and their invariants for color image analysis and object recognition. Sig Process 92(2):308\u2013318","journal-title":"Sig Process"},{"issue":"11","key":"740_CR30","doi-asserted-by":"publisher","first-page":"1815","DOI":"10.3724\/SP.J.1004.2012.01815","volume":"38","author":"BJ Chen","year":"2012","unstructured":"Chen BJ, Sun XM, Wang DC, Zhao XP (2012) Color face recognition using quaternion representation of color image. ACTA Autom Sin 38(11):1815\u20131823","journal-title":"ACTA Autom Sin"},{"key":"740_CR31","doi-asserted-by":"publisher","first-page":"78","DOI":"10.1016\/j.optlastec.2014.08.009","volume":"66","author":"XY Wang","year":"2015","unstructured":"Wang XY, Li WY, Yang HY, Niu PP, Li YW (2015) Invariant quaternion radial harmonic Fourier moments for color image retrieval. Opt Laser Technol 66:78\u201388","journal-title":"Opt Laser Technol"},{"key":"740_CR32","first-page":"951","volume":"256","author":"X-Y Wang","year":"2015","unstructured":"Wang X-Y, Li W-Y, Yang H-Y, Wang P, Li Y-W (2015) Quaternion polar complex exponential transform for invariant color image description. Appl Math Comput 256:951\u2013967","journal-title":"Appl Math Comput"},{"key":"740_CR33","doi-asserted-by":"publisher","first-page":"189","DOI":"10.3233\/FI-2016-1354","volume":"145","author":"H-Y Yang","year":"2016","unstructured":"Yang H-Y, Liang L, Li Y, Wang X (2016) Quaternion exponent moments and their invariants for color image. Fundam Inf 145:189\u2013205","journal-title":"Fundam Inf"},{"key":"740_CR34","doi-asserted-by":"crossref","unstructured":"Camacho-Bello 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 international conference on mechatronics, electronics and automotive engineering","DOI":"10.1109\/ICMEAE.2014.34"},{"key":"740_CR35","volume-title":"Elements of quaternions","author":"WR Hamilton","year":"1866","unstructured":"Hamilton WR (1866) Elements of quaternions. Longmans Green, London"},{"key":"740_CR36","doi-asserted-by":"publisher","first-page":"22","DOI":"10.1109\/TIP.2006.884955","volume":"16","author":"TA Ell","year":"2007","unstructured":"Ell TA, Sangwine SJ (2007) Hypercomplex Fourier transforms of color images. IEEE Trans Image Process 16:22\u201335","journal-title":"IEEE Trans Image Process"},{"key":"740_CR37","doi-asserted-by":"publisher","DOI":"10.1109\/tnnls.2018.2797060","author":"H Zhang","year":"2018","unstructured":"Zhang H, Wang S, Xu X, Chow TWS, Wu QMJ (2018) Tree2Vector: learning a vectorial representation for tree-structured data. IEEE Trans Neural Netw Learn Syst. \n                    https:\/\/doi.org\/10.1109\/tnnls.2018.2797060","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"issue":"2","key":"740_CR38","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-Mellin moments in polar coordinates. J Real-Time Image Process 6(2):73\u201380","journal-title":"J Real-Time Image Process"},{"issue":"5","key":"740_CR39","doi-asserted-by":"publisher","first-page":"715","DOI":"10.3844\/jcssp.2011.715.722","volume":"7","author":"KM Hosny","year":"2011","unstructured":"Hosny KM (2011) Accurate orthogonal circular moment invariants of gray-level images. J Comput Sci 7(5):715\u2013722","journal-title":"J Comput Sci"},{"issue":"7","key":"740_CR40","doi-asserted-by":"publisher","first-page":"996","DOI":"10.1049\/iet-ipr.2011.0348","volume":"6","author":"C Liu","year":"2012","unstructured":"Liu C, Huang X-H, Wang M (2012) Fast computation of Zernike moments in polar coordinates. IET Image Process 6(7):996\u20131004","journal-title":"IET Image Process"},{"issue":"2","key":"740_CR41","doi-asserted-by":"publisher","first-page":"581","DOI":"10.1109\/TIP.2006.888346","volume":"16","author":"Y Xin","year":"2007","unstructured":"Xin Y, Pawlak M, Liao S (2007) Accurate computation of Zernike moments in polar coordinates. IEEE Trans Image Process 16(2):581\u2013587","journal-title":"IEEE Trans Image Process"},{"key":"740_CR42","doi-asserted-by":"crossref","unstructured":"Suk T, Flusser J (2009) Affine moment invariants of color images. In: The 13th international conference on computer analysis of images and patterns, lecture notes computer science, vol 5702, M\u00fcnste, Germany. pp 334\u2013341","DOI":"10.1007\/978-3-642-03767-2_41"},{"key":"740_CR43","doi-asserted-by":"crossref","unstructured":"Wang JZ, Li J, Wiederhold G (2001) SIMPLIcity: semantics-sensitive Integrated Matching for Picture LIbraries. IEEE Trans. on Pattern Analysis and Machine Intelligence, vol 23, no 9, pp 947\u2013963","DOI":"10.1109\/34.955109"},{"key":"740_CR44","unstructured":"Nene SA, Nayar SK, Murase H (1996) Columbia object image library (COIL-100),\nTechnical Report CUCS-006-96"},{"issue":"6","key":"740_CR45","doi-asserted-by":"publisher","first-page":"1049","DOI":"10.1016\/j.imavis.2009.10.001","volume":"28","author":"M-E Nilsback","year":"2010","unstructured":"Nilsback M-E, Zisserman A (2010) Delving deeper into the whorl of flower segmentation. Image Vis Comput 28(6):1049\u20131062","journal-title":"Image Vis Comput"}],"container-title":["Pattern Analysis and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10044-018-0740-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10044-018-0740-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10044-018-0740-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T12:08:37Z","timestamp":1579262917000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10044-018-0740-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,7,30]]},"references-count":45,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2019,8]]}},"alternative-id":["740"],"URL":"https:\/\/doi.org\/10.1007\/s10044-018-0740-1","relation":{},"ISSN":["1433-7541","1433-755X"],"issn-type":[{"type":"print","value":"1433-7541"},{"type":"electronic","value":"1433-755X"}],"subject":[],"published":{"date-parts":[[2018,7,30]]},"assertion":[{"value":"8 January 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 July 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 July 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}