{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,20]],"date-time":"2025-10-20T10:25:28Z","timestamp":1760955928739,"version":"3.37.3"},"reference-count":48,"publisher":"Springer Science and Business Media LLC","issue":"19","license":[{"start":{"date-parts":[[2019,7,1]],"date-time":"2019-07-01T00:00:00Z","timestamp":1561939200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,7,1]],"date-time":"2019-07-01T00:00:00Z","timestamp":1561939200000},"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":["Multimed Tools Appl"],"published-print":{"date-parts":[[2019,10]]},"DOI":"10.1007\/s11042-019-07859-9","type":"journal-article","created":{"date-parts":[[2019,7,1]],"date-time":"2019-07-01T10:03:09Z","timestamp":1561975389000},"page":"27957-27982","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Efficient representation of size functions based on moments theory"],"prefix":"10.1007","volume":"78","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4770-9239","authenticated-orcid":false,"given":"Djamila","family":"Dahmani","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Slimane","family":"Larabi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mehdi","family":"Cheref","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,7,1]]},"reference":[{"key":"7859_CR1","doi-asserted-by":"crossref","unstructured":"Baraldi L, Paci F, Serra G, Benini L, Cucchiara R (2014) Gesture recognition in ego-centric videos using dense trajectories and hand segmentation. In: IEEE Conference on Computer Vision and Pattern Recognition Workshops. IEEE, pp. 702\u2013707","DOI":"10.1109\/CVPRW.2014.107"},{"key":"7859_CR2","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1016\/j.cviu.2016.10.006","volume":"155","author":"P Barros","year":"2017","unstructured":"Barros P, Maciel-Junior NT, Fernandes BJT, Bezerra BLD (2017) A dynamic gesture recognition and prediction system using the convexity approach. Comput Vis Image Underst 155:139\u2013149","journal-title":"Comput Vis Image Underst"},{"issue":"14","key":"7859_CR3","doi-asserted-by":"publisher","first-page":"1735","DOI":"10.1016\/j.patrec.2011.07.014","volume":"32","author":"S Biasoti","year":"2011","unstructured":"Biasoti S, Cerri A, Frosini P, Giorgi D (2011) A new-algorithm for computing the 2-dimentional matching distance between size functions. Pattern Recogn Lett 32(14):1735\u20131746","journal-title":"Pattern Recogn Lett"},{"key":"7859_CR4","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1007\/s11760-010-0176-6","volume":"6","author":"S Bourennane","year":"2012","unstructured":"Bourennane S, Fossati C (2012) Comparison of shape descriptors for hand posture recognition in video. SIViP 6:147\u2013157","journal-title":"SIViP"},{"key":"7859_CR5","unstructured":"Chan L, Liang R-H, Tsai M-C, Cheng K-Y, Su C-H, Chen MY, Cheng W-H, Chen B-Y (2013) Finger Pad private and subtle interaction using fingertips. In: Symposium on User Interface Software and Technology, ACM, pp. 255\u2013260"},{"issue":"9","key":"7859_CR6","doi-asserted-by":"publisher","first-page":"23303","DOI":"10.3390\/s150923303","volume":"15","author":"J Cheng","year":"2015","unstructured":"Cheng J, Chen X, Liu A, Peng H (2015) A novel phonology-and radical-coded chinese sign language recognition framework using accelerometer and surface electromyography sensors. Sensors 15(9):23303\u201323324","journal-title":"Sensors"},{"issue":"5","key":"7859_CR7","doi-asserted-by":"publisher","first-page":"154","DOI":"10.1002\/ima.20076","volume":"16","author":"M d\u2019Amico","year":"2006","unstructured":"d\u2019Amico M, Frosini P, Landi C (2006) Using matching distance in Size Theory: A survey. Int J Imaging Syst Technol 16(5):154\u2013161","journal-title":"Int J Imaging Syst Technol"},{"issue":"2","key":"7859_CR8","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1023\/B:JMIV.0000035177.68567.3b","volume":"21","author":"F Dibos","year":"2004","unstructured":"Dibos F, Frosini P, Pasquignon D (2004) The use of size functions for comparison of shapes through differential invariants. J Math Imaging Vis 21(2):107\u2013118","journal-title":"J Math Imaging Vis"},{"issue":"C","key":"7859_CR9","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1016\/j.patrec.2013.10.010","volume":"50","author":"F Dominio","year":"2014","unstructured":"Dominio F, Donadeo M, Zanuttigh P (2014) Combining multiple depth-based descriptors for hand gesture recognition. Pattern Recogn Lett 50(C):101\u2013111","journal-title":"Pattern Recogn Lett"},{"issue":"2","key":"7859_CR10","doi-asserted-by":"publisher","first-page":"112","DOI":"10.3138\/FM57-6770-U75U-7727","volume":"10","author":"DH Douglas","year":"1973","unstructured":"Douglas DH, Peucker TK (1973) Algorithms for the reduction of the number of points required to represent a digitized line or its caricature. Cartographica 10(2):112\u2013122","journal-title":"Cartographica"},{"key":"7859_CR11","doi-asserted-by":"crossref","unstructured":"Edelsbrunner H, Harer J (2008) Persistent homology\u2014a survey. In: Surveys on discrete and computational geometry, vol. 453 of Contemp. Math. Amer. Math.Soc., Providence, pp. 257\u2013282","DOI":"10.1090\/conm\/453\/08802"},{"issue":"1\u20132","key":"7859_CR12","doi-asserted-by":"publisher","first-page":"52","DOI":"10.1016\/j.cviu.2006.10.012","volume":"108","author":"A Erol","year":"2007","unstructured":"Erol A, Bebis G, Nicolescu M, Boyle RD, Twombly X (2007) Vision-Based Hand Pose Estimation : A review. Comput Vis Image Underst 108(1\u20132):52\u201373","journal-title":"Comput Vis Image Underst"},{"issue":"6","key":"7859_CR13","doi-asserted-by":"publisher","first-page":"2249","DOI":"10.1016\/j.patcog.2010.01.004","volume":"43","author":"M Flasinski","year":"2010","unstructured":"Flasinski M, Myslinski S (2010) On the use of graph parsing for recognition of isolated hand postures of polish sign language. Pattern Recogn 43(6):2249\u20132264","journal-title":"Pattern Recogn"},{"key":"7859_CR14","doi-asserted-by":"publisher","DOI":"10.1002\/9780470684757","volume-title":"Moments and moment invariants in pattern recognition","author":"J Flusser","year":"2009","unstructured":"Flusser J, Zitova B, Suk T (2009) Moments and moment invariants in pattern recognition. John Wiley & Sons, Ltd, Hoboken"},{"issue":"3\u20134","key":"7859_CR15","first-page":"232","volume":"17","author":"P Frosini","year":"1992","unstructured":"Frosini P (1992) Discrete computation of size functions. J Combin Inform System Sci 17(3\u20134):232\u2013250","journal-title":"J Combin Inform System Sci"},{"issue":"4","key":"7859_CR16","doi-asserted-by":"publisher","first-page":"327","DOI":"10.1007\/s002000100078","volume":"12","author":"P Frosini","year":"2001","unstructured":"Frosini P, Landi C (2001) Size functions and formal series. AAECC 12(4):327\u2013349","journal-title":"AAECC"},{"key":"7859_CR17","doi-asserted-by":"publisher","first-page":"610","DOI":"10.1109\/TSMC.1973.4309314","volume":"3","author":"R Haralick","year":"1973","unstructured":"Haralick R, Shanmugan K, Dinstein I (1973) Textural features for image classification. IEEE Transactions On Systems, Man, and Cybernetics SMC 3:610\u2013621","journal-title":"IEEE Transactions On Systems, Man, and Cybernetics SMC"},{"key":"7859_CR18","unstructured":"Harandi MT, Sanderson C, Sanin A, Lovell BC (2013) Spatio-temporal covariance descriptors for action and gesture recognition. In: Proceedings of the 2013 IEEE Workshop on Applications of Computer Vision (WACV). IEEE Computer Society, Washington, DC, pp. 103\u2013110"},{"issue":"6","key":"7859_CR19","doi-asserted-by":"publisher","first-page":"7575","DOI":"10.1007\/s11042-016-3407-1","volume":"76","author":"CY Hsieh","year":"2017","unstructured":"Hsieh CY, Lin WY (2017) Video-based human action and hand gesture recognition by fusing factored matrices of dual tensors. Multimed Tools Appl 76(6):7575\u20137594","journal-title":"Multimed Tools Appl"},{"issue":"10\u201311","key":"7859_CR20","doi-asserted-by":"publisher","first-page":"2479","DOI":"10.1016\/j.patcog.2011.03.005","volume":"44","author":"DE Ilea","year":"2011","unstructured":"Ilea DE, Whelan PF (2011) Image segmentation based on the integration of colour-texture descriptors- A review. Pattern Recogn 44(10\u201311):2479\u20132501","journal-title":"Pattern Recogn"},{"issue":"6","key":"7859_CR21","doi-asserted-by":"publisher","first-page":"1233","DOI":"10.1152\/jn.1987.58.6.1233","volume":"58","author":"JP Jones","year":"1987","unstructured":"Jones JP, Palmer LA (1987) An evaluation of the two dimensional Gabor filter model of simple receptive fields in cat striate cortex. J Neurophysiol 58(6):1233\u20131258","journal-title":"J Neurophysiol"},{"issue":"19","key":"7859_CR22","doi-asserted-by":"publisher","first-page":"11929","DOI":"10.1007\/s11042-015-2609-2","volume":"75","author":"Z Ju","year":"2016","unstructured":"Ju Z, Gao D, Cao J, Liu H (2016) A novel approach to extract hand gesture feature in depth images. Multimed Tools Appl 75(19):11929\u201311943","journal-title":"Multimed Tools Appl"},{"key":"7859_CR23","doi-asserted-by":"publisher","unstructured":"Just A, Rodriguez Y, Marcel S (2006) Hand posture classification and recognition using the modified census transform. In: 7th Internat. Conf. on Automatic Face and Gesture Recognition, FGR, pp. 351\u2013356. doi: \n                    https:\/\/doi.org\/10.1109\/FGR.2006.62","DOI":"10.1109\/FGR.2006.62"},{"key":"7859_CR24","doi-asserted-by":"publisher","first-page":"1106","DOI":"10.1016\/j.patcog.2006.06.010","volume":"40","author":"P Kakumanu","year":"2007","unstructured":"Kakumanu P, Makrogiannis S, Bourbakis N (2007) A survey of skin-color modeling and detection methods. Pattern Recogn 40:1106\u20131122","journal-title":"Pattern Recogn"},{"key":"7859_CR25","doi-asserted-by":"publisher","first-page":"138","DOI":"10.1016\/j.cviu.2015.08.001","volume":"141","author":"L Kane","year":"2015","unstructured":"Kane L, Khanna P (2015) A framework for live and cross platform fingerspelling recognition using modified shape matrix variants on depth silhouettes. Comput Vis Image Underst 141:138\u2013151","journal-title":"Comput Vis Image Underst"},{"issue":"11","key":"7859_CR26","doi-asserted-by":"publisher","first-page":"1359","DOI":"10.1016\/j.patrec.2010.02.004","volume":"31","author":"D Kelly","year":"2010","unstructured":"Kelly D, McDonald J, Markham C (2010) A person independent system for recognition of hand postures used in sign language. Pattern Recogn Lett 31(11):1359\u20131368","journal-title":"Pattern Recogn Lett"},{"issue":"8","key":"7859_CR27","doi-asserted-by":"publisher","first-page":"1415","DOI":"10.1109\/TPAMI.2008.167","volume":"31","author":"T-K Kim","year":"2009","unstructured":"Kim T-K, Cipolla R (2009) Canonical correlation analysis of video volume tensors for action categorization and detection. IEEE Trans Pattern Anal Mach Intell 31(8):1415\u20131428","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"7859_CR28","unstructured":"Kim T-K, Wong S-F, Cipolla R (2007) Tensor canonical correlation analysis for action classification. IEEE Conference on Computer Vision and Pattern Recognition:1\u20138"},{"issue":"3","key":"7859_CR29","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1016\/j.patrec.2008.09.006","volume":"30","author":"T Kobayashi","year":"2009","unstructured":"Kobayashi T, Otsu N (2009) A three-way auto-correlation based approach to motion recognition. Pattern Recogn Lett 30(3):185\u2013192","journal-title":"Pattern Recogn Lett"},{"key":"7859_CR30","doi-asserted-by":"publisher","first-page":"1188","DOI":"10.1016\/j.patrec.2012.01.007","volume":"33","author":"T Kobayashi","year":"2012","unstructured":"Kobayashi T, Otsu N (2012) Motion recognition using local auto-correlation of space\u2013time gradients. Pattern Recogn Lett 33:1188\u20131195","journal-title":"Pattern Recogn Lett"},{"key":"7859_CR31","doi-asserted-by":"publisher","first-page":"276","DOI":"10.1016\/j.patcog.2017.12.023","volume":"77","author":"C Li","year":"2018","unstructured":"Li C, Xie C, Zhang B, Chen C, Han J (2018) Deep Fisher discriminant learning for mobile hand gesture recognition. Pattern Recogn 77:276\u2013288","journal-title":"Pattern Recogn"},{"issue":"3","key":"7859_CR32","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1007\/s10994-007-5018-6","volume":"68","author":"H-T Lin","year":"2007","unstructured":"Lin H-T, Lin C-J, Weng RC (2007) A note on Platt\u2019s probabilistic outputs for support vector machines. Mach Learn 68(3):267\u2013276 ISSN 0885-6125","journal-title":"Mach Learn"},{"key":"7859_CR33","doi-asserted-by":"crossref","unstructured":"Liu S, Xiao Q (2015) A signer-independent sign language recognition system based on the weighted KNN\/KMM. In: Intelligent Human-Machine Systems and Cybernetics (IHMSC), 2015 7th International Conference on, vol. 2, pp. 186\u2013189","DOI":"10.1109\/IHMSC.2015.71"},{"key":"7859_CR34","unstructured":"Lui YM, Beveridge JR (2011) Tangent bundle for human action recognition. In proc. of Automatic Face & Gesture Recognition and Workshops, pp. 97\u2013102"},{"key":"7859_CR35","doi-asserted-by":"crossref","unstructured":"Lui YM, Beveridge JR, Kirby M (2010) Action classification on product manifolds. In Proc. of CVPR, pp. 833\u2013839","DOI":"10.1109\/CVPR.2010.5540131"},{"issue":"12","key":"7859_CR36","doi-asserted-by":"publisher","first-page":"1030","DOI":"10.1016\/j.imavis.2014.08.015","volume":"32","author":"MAA Mhamedi","year":"2014","unstructured":"Mhamedi MAA, Ziou D (2014) A local approach for 3D object recognition through a set of size functions. Image Vis Comput 32(12):1030\u20131044","journal-title":"Image Vis Comput"},{"issue":"8","key":"7859_CR37","doi-asserted-by":"publisher","first-page":"1055","DOI":"10.1109\/TIP.2004.828430","volume":"13","author":"R Mukundan","year":"2004","unstructured":"Mukundan R (2004) Some computational aspects of discrete orthonormal moments. IEEE Trans Image Process 13(8):1055\u20131059","journal-title":"IEEE Trans Image Process"},{"key":"7859_CR38","first-page":"1249","volume-title":"British Machine Vision Conference","author":"J Niebles","year":"2006","unstructured":"Niebles J, Wang H, Fei-Fei L (2006) Unsupervised learning of human action categories using spatial-temporal words. In: British Machine Vision Conference, pp 1249\u20131258"},{"issue":"6","key":"7859_CR39","doi-asserted-by":"publisher","first-page":"1895","DOI":"10.1016\/j.patcog.2007.11.015","volume":"41","author":"GA Papakostas","year":"2008","unstructured":"Papakostas GA, Karakasis EG, Koulourisotis DE (2008) Efficient and accurate computation of geometric moments on grey-scale images. Pattern Recogn 41(6):1895\u20131904","journal-title":"Pattern Recogn"},{"issue":"12","key":"7859_CR40","first-page":"3171","volume":"19","author":"H Shu","year":"2010","unstructured":"Shu H, Zhang H, Beijing C, Haigron P, Luo L (2010) Fast computation of Tchebichef moments for binary and greyscale images. IEEE Transactions on Image Processing, Institute of Electrical and Electronics Engineers 19(12):3171\u20133180","journal-title":"IEEE Transactions on Image Processing, Institute of Electrical and Electronics Engineers"},{"key":"7859_CR41","doi-asserted-by":"publisher","first-page":"10635","DOI":"10.1007\/s11042-015-3090-7","volume":"76","author":"Y Su","year":"2017","unstructured":"Su Y, Wang H, Jing P, Xu C (2017) (2017) A spatial-temporal iterative tensor decomposition technique for action and gesture recognition. Multimed Tools Appl 76:10635\u201310652","journal-title":"Multimed Tools Appl"},{"issue":"13\u201314","key":"7859_CR42","doi-asserted-by":"publisher","first-page":"937","DOI":"10.1016\/S0262-8856(02)00100-2","volume":"20","author":"J Triesch","year":"2002","unstructured":"Triesch J, Von der malsuburg C (2002) Classification of Hand postures Against Complex Backgrounds Using Elastic Graph Matching. Image Vis Comput 20(13\u201314):937\u2013943","journal-title":"Image Vis Comput"},{"key":"7859_CR43","doi-asserted-by":"publisher","first-page":"189","DOI":"10.1016\/0262-8856(95)01056-4","volume":"14","author":"A Verri","year":"1996","unstructured":"Verri A, Uras C (1996) Metric-topological approach to shape representation and recognition. Image Vis Comput 14:189\u2013207","journal-title":"Image Vis Comput"},{"key":"7859_CR44","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1007\/BF00200823","volume":"70","author":"A Verri","year":"1993","unstructured":"Verri A, Uras C, Frosini P, Ferri M (1993) On the use of size functions for shape analysis. Biol Cybern 70:99\u2013107","journal-title":"Biol Cybern"},{"key":"7859_CR45","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/j.image.2017.06.015","volume":"58","author":"C Wang","year":"2017","unstructured":"Wang C, Liu Z, Zhu M, Zhao J, Chan S-C (2017) A hand gesture recognition system based on canonical superpixel-graph. Signal Process Image Commun 58:87\u201398","journal-title":"Signal Process Image Commun"},{"key":"7859_CR46","doi-asserted-by":"publisher","first-page":"2215","DOI":"10.1016\/j.engappai.2013.06.019","volume":"26","author":"JW Wang","year":"2013","unstructured":"Wang JW, Wang CC, Lee JS (2013) Genetic Eigen Hand Selection for hand shape classification based on compact hand extraction. Eng Appl Artif Intell 26:2215\u20132226","journal-title":"Eng Appl Artif Intell"},{"key":"7859_CR47","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1016\/j.patrec.2017.05.016","volume":"99","author":"C Yang","year":"2017","unstructured":"Yang C, Han D-K, Ko H (2017) Continuous hand gesture recognition based on trajectory shape information. Pattern Recogn Lett 99:39\u201347","journal-title":"Pattern Recogn Lett"},{"issue":"7","key":"7859_CR48","doi-asserted-by":"publisher","first-page":"1264","DOI":"10.1109\/TPAMI.2008.172","volume":"31","author":"H-D Yang","year":"2009","unstructured":"Yang H-D, Sclaroff S, Lee S-W (2009) Sign language spotting with a threshold model based on conditional random field. IEEE Trans Pattern Anal Match Intell 31(7):1264\u20131277","journal-title":"IEEE Trans Pattern Anal Match Intell"}],"container-title":["Multimedia Tools and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11042-019-07859-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11042-019-07859-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11042-019-07859-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,6,29]],"date-time":"2020-06-29T23:16:33Z","timestamp":1593472593000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11042-019-07859-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7,1]]},"references-count":48,"journal-issue":{"issue":"19","published-print":{"date-parts":[[2019,10]]}},"alternative-id":["7859"],"URL":"https:\/\/doi.org\/10.1007\/s11042-019-07859-9","relation":{},"ISSN":["1380-7501","1573-7721"],"issn-type":[{"type":"print","value":"1380-7501"},{"type":"electronic","value":"1573-7721"}],"subject":[],"published":{"date-parts":[[2019,7,1]]},"assertion":[{"value":"14 October 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 April 2019","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 June 2019","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 July 2019","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}