{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T19:24:20Z","timestamp":1777749860342,"version":"3.51.4"},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2019,1,3]],"date-time":"2019-01-03T00:00:00Z","timestamp":1546473600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,1,3]],"date-time":"2019-01-03T00:00:00Z","timestamp":1546473600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Real-Time Image Proc"],"published-print":{"date-parts":[[2020,8]]},"DOI":"10.1007\/s11554-018-0846-0","type":"journal-article","created":{"date-parts":[[2019,1,3]],"date-time":"2019-01-03T14:09:48Z","timestamp":1546524588000},"page":"949-965","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":21,"title":["Fast 3D image reconstruction by cuboids and 3D Charlier\u2019s moments"],"prefix":"10.1007","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9225-8380","authenticated-orcid":false,"given":"Hicham","family":"Karmouni","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tarik","family":"Jahid","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mhamed","family":"Sayyouri","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rachid","family":"El Alami","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hassan","family":"Qjidaa","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,1,3]]},"reference":[{"issue":"2","key":"846_CR1","doi-asserted-by":"publisher","first-page":"295-306","DOI":"10.1016\/0031-3203(93)90038-X","volume":"26","author":"S Ghosal","year":"1993","unstructured":"Ghosal, S., Mehrotra, R.: Orthogonal moment operators for subpixel edge detection. Pattern Recognit., 26(2):295-306, 1993","journal-title":"Pattern Recognit."},{"key":"846_CR2","doi-asserted-by":"crossref","unstructured":"Hmimid, M., Sayyouri, Qjidaa, H.: Image classification using separable invariant moments of Charlier-Meixner and support vector machine. Multimed. Tools Appl., 2018, p.\u00a01\u201325","DOI":"10.1007\/s11042-018-5623-3"},{"issue":"1","key":"846_CR3","doi-asserted-by":"publisher","first-page":"013026","DOI":"10.1117\/1.JEI.23.1.013026","volume":"23","author":"M Hmimid","year":"2014","unstructured":"Hmimid, M., Sayyouri, Qjidaa, H.: Image classification using a new set of separable two-dimensional discrete orthogonal invariant moments. J. Electron. Imaging 23(1), 013026 (2014)","journal-title":"J. Electron. Imaging"},{"issue":"7","key":"846_CR4","doi-asserted-by":"publisher","first-page":"659-668","DOI":"10.1016\/0167-8655(94)90069-8","volume":"15","author":"M Tuceryan","year":"1994","unstructured":"Tuceryan, M.: Moment-based texture segmentation. Pattern Recognit. Lett., 15(7):659-668, 1994","journal-title":"Pattern Recognit. Lett."},{"issue":"13","key":"846_CR5","doi-asserted-by":"publisher","first-page":"1868-1872","DOI":"10.1016\/j.patrec.2008.06.003","volume":"29","author":"VS Bharathi","year":"2008","unstructured":"Bharathi, V.S., Ganesan, L.: Orthogonal moments based texture analysis of CT liver images. Pattern Recognit. Lett., 29(13):1868-1872, 2008","journal-title":"Pattern Recognit. Lett."},{"issue":"8","key":"846_CR6","doi-asserted-by":"publisher","first-page":"1580-1591","DOI":"10.1364\/JOSAA.30.001580","volume":"30","author":"JV Marcos","year":"2013","unstructured":"Marcos, J.V., Cristobal, G.: Texture classification using discrete Tchebichef moments. J. Opt. Soc. Am. A, 30(8):1580-1591, 2013","journal-title":"J. Opt. Soc. Am. A"},{"issue":"3","key":"846_CR7","doi-asserted-by":"publisher","first-page":"223-235","DOI":"10.1007\/s10851-011-0323-x","volume":"44","author":"MS Hickman","year":"2012","unstructured":"Hickman, M.S.: Geometric moments and their invariants. J. Math. Imaging Vision, 44(3):223-235, 2012","journal-title":"J. Math. Imaging Vision"},{"key":"846_CR8","unstructured":"Honarvar, R., Paramesran, Lim, C.L.: Image reconstruction from a complete set of geometric and complex moments. Signal Process., 98:224_232, 2014"},{"key":"846_CR9","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1016\/j.patcog.2014.08.020","volume":"48","author":"M Hmimid","year":"2015","unstructured":"Hmimid, M., Sayyouri, H., Qjidaa: Fast computation of separable two-dimensional discrete invariant moments for image classification. Pattern Recogn. 48, 509\u2013521 (2015)","journal-title":"Pattern Recogn."},{"issue":"6","key":"846_CR10","doi-asserted-by":"publisher","first-page":"846-860","DOI":"10.1016\/j.ins.2009.08.032","volume":"180","author":"JA Martin","year":"2010","unstructured":"Martin, J.A., Santos, H.M., and J. de Lope. Orthogonal variant moments features in image analysis. Inf. Sci., 180(6): 846-860, 2010","journal-title":"Inf. Sci."},{"key":"846_CR11","first-page":"8","volume":"2013","author":"H Wu","year":"2013","unstructured":"Wu, H., Coatrieux, J.L., Shu, H.: New algorithm for constructing and computing scale invariants of 3D Tchebichef moments. Math. Probl. Eng. 2013: 8, (Article ID 813606) (2013)","journal-title":"Math. Probl. Eng."},{"issue":"9","key":"846_CR12","doi-asserted-by":"publisher","first-page":"1305-1314","DOI":"10.1016\/j.patrec.2011.03.011","volume":"32","author":"KM Hosny","year":"2011","unstructured":"Hosny, K.M.: Fast and low-complexity method for exact computation of 3D Legendre moments. Pattern Recognit. Lett., 32(9):1305-1314, 2011","journal-title":"Pattern Recognit. Lett."},{"key":"846_CR13","first-page":"179","volume":"8","author":"MK Hu","year":"1962","unstructured":"Hu, M.K.: Visual pattern recognition by moment invariants. IRE Trans. Inf. Theory IT -8: 179\u2013187 (1962)","journal-title":"IRE Trans. Inf. Theory IT"},{"key":"846_CR14","doi-asserted-by":"crossref","first-page":"1214","DOI":"10.1016\/j.amc.2006.12.025","volume":"189","author":"MK Hosny","year":"2007","unstructured":"Hosny, M.K.: Exact and fast computation of geometric moments for gray level images. Appl. Math. Comput. 189, 1214\u20131222 (2007)","journal-title":"Appl. Math. Comput."},{"key":"846_CR15","doi-asserted-by":"publisher","first-page":"79s5","DOI":"10.1016\/j.patrec.2011.01.006","volume":"32","author":"MK Hosny","year":"2011","unstructured":"Hosny, M.K.: Image representation using accurate orthogonal Gegenbauer moments. Pattern Recogn. Lett. 32, 79s5\u20137804 (2011)","journal-title":"Pattern Recogn. Lett."},{"issue":"8","key":"846_CR16","doi-asserted-by":"publisher","first-page":"920","DOI":"10.1364\/JOSA.70.000920","volume":"70","author":"MR Teague","year":"1980","unstructured":"Teague, M.R.: Image analysis via the general theory of moments. J. Opt. Soc. Am. 70(8), 920\u2013930 (1980)","journal-title":"J. Opt. Soc. Am."},{"issue":"9","key":"846_CR17","doi-asserted-by":"publisher","first-page":"1357","DOI":"10.1109\/83.941859","volume":"10","author":"R Mukundan","year":"2000","unstructured":"Mukundan, R., Ong, S.H., Lee, P.A.: Image analysis by Tchebichef moments. IEEE Trans. Image Process. 10(9), 1357\u20131364 (2000)","journal-title":"IEEE Trans. Image Process."},{"issue":"12","key":"846_CR18","doi-asserted-by":"publisher","first-page":"3171","DOI":"10.1109\/TIP.2010.2052276","volume":"19","author":"HZ Shu","year":"2010","unstructured":"Shu, H.Z., Zhang, H., Chen, B.J., Haigron, P., Luo, L.M.: Fast computation of Tchebichef moments for binary and gray-scale images. IEEE Trans. Image Process. 19(12), 3171\u20133180 (2010)","journal-title":"IEEE Trans. Image Process."},{"issue":"11","key":"846_CR19","doi-asserted-by":"publisher","first-page":"1367","DOI":"10.1109\/TIP.2003.818019","volume":"12","author":"PT Yap","year":"2003","unstructured":"Yap, P.T., Paramesran, R., Ong, S.H.: Image analysis by Krawtchouk moments. IEEE Trans. Image Process. 12(11), 1367\u20131377 (2003)","journal-title":"IEEE Trans. Image Process."},{"key":"846_CR20","doi-asserted-by":"publisher","first-page":"2381","DOI":"10.1364\/JOSAA.30.002381","volume":"30","author":"M Sayyouri","year":"2013","unstructured":"Sayyouri, M., Hmimid, A., Qjidaa, H.: Improving the performance of image classification by Hahn moment invariants. J. Opt. Soc. Am. A 30, 2381\u20132394 (2013)","journal-title":"J. Opt. Soc. Am. A"},{"key":"846_CR21","doi-asserted-by":"crossref","unstructured":"Sayyouri, M., Hmimid, A., Qjidaa, H.:\u00a0A fast computation of Hahn moments for binary and gray-scale images. In:\u00a02012 IEEE International Conference on Complex Systems (ICCS), pp. 1\u20136 (2012)","DOI":"10.1109\/ICoCS.2012.6458538"},{"issue":"4","key":"846_CR22","doi-asserted-by":"publisher","first-page":"687","DOI":"10.1016\/j.sigpro.2006.07.007","volume":"87","author":"HQ Zhu","year":"2007","unstructured":"Zhu, H.Q., Shu, H.Z., Liang, J., Luo, L.M., Coatrieux, J.L.: Image analysis by discrete orthogonal Racah moments. Signal Process 87(4), 687\u2013708 (2007)","journal-title":"Signal Process"},{"issue":"5","key":"846_CR23","doi-asserted-by":"publisher","first-page":"335","DOI":"10.1049\/iet-ipr.2009.0195","volume":"4","author":"H Zhu","year":"2010","unstructured":"Zhu, H., Liu, M., Shu, H., Zhang, H., Luo, L.: General form for obtaining discrete orthogonal moments. IET Image Process. 4(5), 335\u2013352 (2010)","journal-title":"IET Image Process."},{"issue":"1","key":"846_CR24","doi-asserted-by":"publisher","first-page":"547","DOI":"10.1007\/s11042-014-2307-5","volume":"75","author":"M Sayyouri","year":"2014","unstructured":"Sayyouri, M., Hmimid, A., Qjidaa, H.: Image analysis using separable discrete moments of Charlier\u2013Hahn. Multimed. Tools Appl. 75(1), 547\u2013571 (2014)","journal-title":"Multimed. Tools Appl."},{"key":"846_CR25","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00034-014-9881-7","volume":"2014","author":"M Sayyouri","year":"2014","unstructured":"Sayyouri, M., Hmimid, A., Qjidaa, H.: A fast computation of novel set of Meixner invariant moments for image analysis. Circ. Syst. Signal Process. 2014, 1\u201326 (2014). https:\/\/doi.org\/10.1007\/s00034-014-9881-7","journal-title":"Circ. Syst. Signal Process"},{"issue":"11","key":"846_CR26","doi-asserted-by":"publisher","first-page":"1609-1615","DOI":"10.1109\/83.725368","volume":"7","author":"IM Spiliotis","year":"1998","unstructured":"Spiliotis, I.M., Mertzios, B.G.: Real-time computation of two-dimensional moments on binary images using image block representation. IEEE Trans. Image Process., 7(11):1609-1615, 1998","journal-title":"IEEE Trans. Image Process."},{"issue":"6","key":"846_CR27","doi-asserted-by":"publisher","first-page":"1895-1904","DOI":"10.1016\/j.patcog.2007.11.015","volume":"41","author":"GA Papakostas","year":"2008","unstructured":"Papakostas, G.A., Karakasis, E.G., Koulouriotis, D.E.: Efficient and accurate computation of geometric moments on gray-scale images. Pattern Recognit., 41(6):1895-1904, 2008","journal-title":"Pattern Recognit."},{"key":"846_CR28","unstructured":"Papakostas, G.A., Koulouriotis, D.E., Karakasis, E.G.: A unified methodology for the efficient computation of discrete orthogonal image moments. Inf. Sci., 179(20):3619_3633, 2009"},{"issue":"3","key":"846_CR29","doi-asserted-by":"publisher","first-page":"414-423","DOI":"10.1016\/j.imavis.2009.06.011","volume":"28","author":"GA Papakostas","year":"2010","unstructured":"Papakostas, G.A., Karakasis, E.G., Koulouriotis, D.E.: Accurate and speedy computation of image Legendre moments for computer vision applications. Image Vision Comput., 28(3):414-423, 2010","journal-title":"Image Vision Comput."},{"key":"846_CR30","doi-asserted-by":"crossref","unstructured":"Hosny, M.K., Hafez, M.: An algorithm for fast computation of 3D zernike moments for volumetric images, Math. Probl. Eng., Volume 2012: 17, (Article ID 353406)","DOI":"10.1155\/2012\/353406"},{"key":"846_CR31","doi-asserted-by":"publisher","DOI":"10.1007\/s11554-017-0708-1","author":"MK Hosny","year":"2017","unstructured":"Hosny, M.K., Salah, A., Saleh, H.I., Sayed, M.: Fast computation of 2D and 3D legendre moments using multi-core CPUs and GPU parallel architectures. J. Real Time Image Process (2017). https:\/\/doi.org\/10.1007\/s11554-017-0708-1","journal-title":"J. Real Time Image Process"},{"key":"846_CR32","doi-asserted-by":"publisher","first-page":"124","DOI":"10.1016\/j.asoc.2017.11.021","volume":"63","author":"MF Kumar","year":"2018","unstructured":"Kumar, M.F., Hassan, P., Raveendran: Learning based restoration of Gaussian blurred images using weighted geometric moments and cascaded digital filters. Appl. Soft. Comput. 63, 124\u2013138 (2018)","journal-title":"Appl. Soft. Comput."},{"key":"846_CR33","doi-asserted-by":"crossref","unstructured":"Karmouni, H., Hmimid, A., Jahid, T., Sayyouri, M., Qjidaa, H., Rezzouk, A., Fast and stable computation of the Charlier moments and their inverses using digital filters and image block representation. Circuits Syst. Signal Process.: 1\u201319. (2018)","DOI":"10.1007\/s00034-018-0755-2"},{"issue":"15","key":"846_CR34","doi-asserted-by":"publisher","first-page":"19811","DOI":"10.1007\/s11042-017-5371-9","volume":"77","author":"A Tarik Jahid","year":"2018","unstructured":"Tarik Jahid, A., Hmimid, H., Karmouni, M., Sayyouri, H., Qjidaa, A., Rezzouk: Image analysis by Meixner moments and a digital filter. Multimed. Tools Appl. 77(15), 19811\u201319831 (2018)","journal-title":"Multimed. Tools Appl."},{"key":"846_CR35","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-74748-9","volume-title":"Classical orthogonal polynomials of a discrete variable","author":"AF Nikiforov","year":"1991","unstructured":"Nikiforov, A.F., Suslov, S.K., Uvarov, B.: Classical orthogonal polynomials of a discrete variable. Springer, New York (1991)"},{"key":"846_CR36","unstructured":"http:\/\/www.cim.mcgill.ca\/~shape\/benchMark\/airplane.html . (2017). Accessed 31 July 2017"},{"key":"846_CR37","doi-asserted-by":"crossref","unstructured":"Benouini, R., Batioua, I., Zenkouar, K., Najah, S.: & H. Qjidaa. Efficient 3D object classification by using direct Krawtchouk moment invariants. Multimed. Tools Appl., 1\u201326, 2018","DOI":"10.1007\/s11042-018-5937-1"},{"key":"846_CR38","doi-asserted-by":"crossref","unstructured":"Yap., P.T., Paramesran, R.: & S. H. Ong. Image analysis using Hahn moments. IEEE Trans. Pattern Anal. Mach. Intell., 29(11), 2007","DOI":"10.1109\/TPAMI.2007.70709"},{"issue":"1\u20132","key":"846_CR39","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1007\/s11554-007-0058-5","volume":"3","author":"MK Hosny","year":"2008","unstructured":"Hosny, M.K.: Fast computation of accurate zernike moments. J. Real Time Image Proc. 3(1\u20132), 97\u2013107 (2008)","journal-title":"J. Real Time Image Proc."},{"key":"846_CR40","doi-asserted-by":"publisher","first-page":"332","DOI":"10.1016\/j.patrec.2018.08.020","volume":"112","author":"JS Camacho-Bello","year":"2018","unstructured":"Camacho-Bello, J.S., Rivera-Lopez: Some computational aspects of Tchebichef moments for higher orders. Pattern Recogn. Lett. 112, 332\u2013339 (2018)","journal-title":"Pattern Recogn. Lett."}],"container-title":["Journal of Real-Time Image Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11554-018-0846-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11554-018-0846-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11554-018-0846-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,9]],"date-time":"2022-09-09T17:09:40Z","timestamp":1662743380000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11554-018-0846-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,1,3]]},"references-count":40,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2020,8]]}},"alternative-id":["846"],"URL":"https:\/\/doi.org\/10.1007\/s11554-018-0846-0","relation":{},"ISSN":["1861-8200","1861-8219"],"issn-type":[{"value":"1861-8200","type":"print"},{"value":"1861-8219","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,1,3]]},"assertion":[{"value":"18 July 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 December 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 January 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}