{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,6]],"date-time":"2026-10-06T19:18:23Z","timestamp":1791314303920,"version":"4.3.1"},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2015,6,15]],"date-time":"2015-06-15T00:00:00Z","timestamp":1434326400000},"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":["Multidim Syst Sign Process"],"published-print":{"date-parts":[[2017,1]]},"DOI":"10.1007\/s11045-015-0334-7","type":"journal-article","created":{"date-parts":[[2015,6,14]],"date-time":"2015-06-14T08:49:05Z","timestamp":1434271745000},"page":"105-127","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["3D face recognition in the Fourier domain using deformed circular curves"],"prefix":"10.1007","volume":"28","author":[{"given":"Deokwoo","family":"Lee","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hamid","family":"Krim","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2015,6,15]]},"reference":[{"issue":"4","key":"334_CR1","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1137\/S0036144501386986","volume":"43","author":"A Aldroubi","year":"2001","unstructured":"Aldroubi, A., & Grochenig, K. (2001). Nonuniform sampling and reconstruction in shift-invariant spaces. SIAM Review, 43(4), 585\u2013620.","journal-title":"SIAM Review"},{"key":"334_CR2","doi-asserted-by":"crossref","unstructured":"Aouada, D. & Krim, H. (2010). Squigraphs for fine and compact modeling of 3-D shapes. IEEE Transaction on Pattern Analysis and Machine Intelligence, 19(2), 306\u2013321.","DOI":"10.1109\/TIP.2009.2034693"},{"key":"334_CR3","doi-asserted-by":"crossref","unstructured":"Ballihi, L., Ben Amor, B., Daoudi, M., Srivastava, A. & Aboutajdine, D. (2012). Boosting 3-D geometric features for efficient face recognition and gender classification. IEEE Transactions on Information Forensic and Security, 7(6), 1766\u20131799.","DOI":"10.1109\/TIFS.2012.2209876"},{"key":"334_CR4","doi-asserted-by":"crossref","first-page":"1373","DOI":"10.1162\/089976603321780317","volume":"15","author":"M Belkin","year":"2003","unstructured":"Belkin, M., & Niyogi, P. (2003). Laplacian eigenmaps for dimensionality reduction and data representation. Neural Computation, 15, 1373\u20131396.","journal-title":"Neural Computation"},{"issue":"12","key":"334_CR5","doi-asserted-by":"crossref","first-page":"2162","DOI":"10.1109\/TPAMI.2010.43","volume":"32","author":"S Berretti","year":"2010","unstructured":"Berretti, S., Del Bimbo, A., & Pala, P. (2010). 3D dace recognition using iso-geodesic stripes. IEEE Transactions on Pattern Analysis and Machine Intelligence, 32(12), 2162\u20132177.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"334_CR6","unstructured":"Borg, I. & Gronen, P. J. F. (2005). Modern multidimensional scaling\u2013Theory and applications, Springer series in statistics (2nd ed.). New York: Springer-Verlag."},{"issue":"1","key":"334_CR7","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.cviu.2005.05.005","volume":"101","author":"KW Bowyer","year":"2006","unstructured":"Bowyer, K. W., Chang, K., & Flynn, P. (2006). A survey of approaches and challenges in 3D and multi-modal 3D + 2D face recognition. Computer Vision and Image Understanding, 101(1), 1\u201315.","journal-title":"Computer Vision and Image Understanding"},{"key":"334_CR8","first-page":"31","volume":"391","author":"L Lathauwer De","year":"2004","unstructured":"De Lathauwer, L., & Vandewalle, J. (2004). Dimensionality reduction in higher-order signal processing and rank-(R1, R2,., RN) reduction in multilinear algebra. Special Issue on Linear Algebra in Signal and Image Processing, 391, 31\u201355.","journal-title":"Special Issue on Linear Algebra in Signal and Image Processing"},{"key":"334_CR9","doi-asserted-by":"crossref","unstructured":"Demartines, P., Herault, J. (1997). Curvilinear component analysis: A self-organizing neural network for nonlinear mapping of data sets. IEEE Transactions on Neural Networks, 8(1), 148\u2013154.","DOI":"10.1109\/72.554199"},{"key":"334_CR10","doi-asserted-by":"crossref","unstructured":"Donoho, D. L. (2006) Compressed sensing. IEEE Transaction on Information Theory, 52(4), 1289\u20131306.","DOI":"10.1109\/TIT.2006.871582"},{"issue":"10","key":"334_CR11","doi-asserted-by":"crossref","first-page":"1285","DOI":"10.1109\/TPAMI.2003.1233902","volume":"25","author":"A Elad","year":"2003","unstructured":"Elad, A., & Kimmel, R. (2003). On bending invariant signatures for surfaces. IEEE Transactions on Pattern Analysis and Machine Intelligence, 25(10), 1285\u20131295.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"334_CR12","doi-asserted-by":"crossref","unstructured":"Feng, S., Krim, H., & Kogan, I. A. (2007). 3D face recognition using Euclidean integral invariants signature. In IEEE\/SP 14th Workshop on Statistical Signal Processing, 2007. SSP \u201907, pp. 156\u2013160","DOI":"10.1109\/SSP.2007.4301238"},{"key":"334_CR13","doi-asserted-by":"crossref","unstructured":"Guillamet, D., Schiele B., & Vitria, J. (2002). Analyzing non-negative matrix factorization for image classification. In Proceedings of the 16th International Conference on Pattern Recognition.","DOI":"10.1109\/ICPR.2002.1048251"},{"key":"334_CR14","doi-asserted-by":"crossref","first-page":"2639","DOI":"10.1162\/0899766042321814","volume":"16","author":"DR Hardoon","year":"2004","unstructured":"Hardoon, D. R., Szedmak, S., & Shawe-Taylor, J. (2004). Canonical correlation analysis: An overview with application to learning methods. Neural Computation, 16, 2639\u20132664.","journal-title":"Neural Computation"},{"key":"334_CR15","unstructured":"He, X. & Niyogi, P. (2004). Locality preserving projections. In Proceedings of the NIPS, Advances in Neural Information Processing Systems (Vol. 16). Vancouver: MIT Press."},{"key":"334_CR16","doi-asserted-by":"crossref","unstructured":"Hou, C., Nie, F., Li, X., Yi, D., & Wu, Y. (2014). Joint embedding learning and sparse regression: A framework for unsupervised feature selection. IEEE Transactions on Cybernetics, 44(6), 793\u2013804.","DOI":"10.1109\/TCYB.2013.2272642"},{"key":"334_CR17","doi-asserted-by":"crossref","unstructured":"Huang, W. & Yin, H. (2009). Nonlinear dimensionality reduction for face recognition. IDEAL\u201909 Proceedings of the 10th International Conference on Intelligent Data Engineering and Automated Learning, pp. 424\u2013432.","DOI":"10.1007\/978-3-642-04394-9_52"},{"key":"334_CR18","doi-asserted-by":"crossref","first-page":"1483","DOI":"10.1162\/neco.1997.9.7.1483","volume":"9","author":"A Hyvarinen","year":"1997","unstructured":"Hyvarinen, A., & Oja, E. (1997). A fast fixed-point algorithm for independent component analysis. Neural Computation, 9, 1483\u20131492.","journal-title":"Neural Computation"},{"key":"334_CR19","doi-asserted-by":"crossref","unstructured":"Jahanbin, S., Choi, H., Liu, Y. & Bovik, A. C. (2008). Three dimensional face recognition using iso-geodesic and iso-depth curves. In 2nd IEEE International Conference on Biometrics: Theory, Applications and Systems, 2008. BTAS 2008.","DOI":"10.1109\/BTAS.2008.4699378"},{"key":"334_CR20","doi-asserted-by":"crossref","unstructured":"Kohonen, T. (1990). The self-organizing map. Proceedings of the IEEE, 78(9):1464\u20131480.","DOI":"10.1109\/5.58325"},{"key":"334_CR21","doi-asserted-by":"crossref","unstructured":"Lee, D., & Krim, H. (2010). 3D surface reconstruction using structured circular light patterns. In ACIVS 2010. Part I, LNCS (Vol. 6474, pp. 279\u2013289).","DOI":"10.1007\/978-3-642-17688-3_27"},{"key":"334_CR22","doi-asserted-by":"crossref","unstructured":"Lee, D., & Krim, H. (2011). A sampling rate for a 2D surface. SSVM, LNCS, 6667,","DOI":"10.1007\/978-3-642-24785-9_47"},{"key":"334_CR23","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/j.neucom.2004.01.007","volume":"57","author":"JA Lee","year":"2004","unstructured":"Lee, J. A., Lendasse, A., & Verleysen, M. (2004). Nonlinear projection with curvilinear distances: Isomap versus curvilinear distance analysis. Neurocomputing, 57, 49\u201376.","journal-title":"Neurocomputing"},{"key":"334_CR24","doi-asserted-by":"crossref","unstructured":"Liu, P., Wang, Y., Huang, D., Zhang, Z., & Chen, L. (2013). Learning the spherical harmonic features for 3-D face recognition. IEEE Transactions on Image Processing, 22(3), 914\u2013925.","DOI":"10.1109\/TIP.2012.2222897"},{"key":"334_CR25","doi-asserted-by":"crossref","unstructured":"Liu, X., Wang, L., Zhang, J. & Liu, H. (2014). Global and local structure preservation for feature selection. IEEE Transaction on Neural Networks and Learning Systems, 25(6), 1083\u20131095.","DOI":"10.1109\/TNNLS.2013.2287275"},{"key":"334_CR26","doi-asserted-by":"crossref","unstructured":"Miao S., & Krim, H. (2010). 3D face recognition based on evolution of iso-geodesic distance curves. In 2010 IEEE International Conference on Acoustics Speech and Signal Processing (ICASSP), pp. 1134\u20131137.","DOI":"10.1109\/ICASSP.2010.5495363"},{"key":"334_CR27","doi-asserted-by":"crossref","unstructured":"Mika, S., Ratsch, G., Weston, J., Scholkopf, B. & Muller, K.-R. (1999). Fisher discriminant analysis with kernels, neural networks for signal processing IX. In Proceedings of the 1999 IEEE Signal Processing Society Workshop.","DOI":"10.1109\/NNSP.1999.788121"},{"key":"334_CR28","doi-asserted-by":"crossref","unstructured":"Oprea, J. (2007). Differential geometry and its applications (2nd ed.). The Mathematical Association of America (Incorporated): Pearson Education.","DOI":"10.1090\/clrm\/059"},{"key":"334_CR29","doi-asserted-by":"crossref","unstructured":"Roweis, S. T., & Saul L. K. (2000). Nonlinear dimensionality reduction by locally linear embedding. Science, 290, 2323\u20132326.","DOI":"10.1126\/science.290.5500.2323"},{"issue":"11","key":"334_CR30","doi-asserted-by":"crossref","first-page":"1858","DOI":"10.1109\/TPAMI.2006.235","volume":"28","author":"C Samir","year":"2006","unstructured":"Samir, C., Srivastava, A., & Daoudi, M. (2006). Three-dimensional face recognition using shape of facial curves. IEEE Transactions on Pattern Analysis and Machine Intelligence, 28(11), 1858\u20131863.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"334_CR31","volume-title":"An introduction to locally linear embedding","author":"LK Saul","year":"2000","unstructured":"Saul, L. K., & Roweis, S. T. (2000). An introduction to locally linear embedding. Florham Park, NJ: AT and T."},{"key":"334_CR32","doi-asserted-by":"crossref","unstructured":"Scholkopf, Bernhard, Smola, Alexander, & Muller, Klaus-Robert. (1997). Kernel principal component analysis, Artificial Neural Networks - ICANN\u201997. Lecture Notes in Computer Science, 1327, 583\u2013588.","DOI":"10.1007\/BFb0020217"},{"key":"334_CR33","doi-asserted-by":"crossref","first-page":"1299","DOI":"10.1162\/089976698300017467","volume":"10","author":"B Scholkopf","year":"1998","unstructured":"Scholkopf, B., Smola, A., & Muller, K.-R. (1998). Nonlinear component analysis as a kernel eigenvalue problem. Neural Computation, 10, 1299\u20131319.","journal-title":"Neural Computation"},{"issue":"5500","key":"334_CR34","doi-asserted-by":"crossref","first-page":"2319","DOI":"10.1126\/science.290.5500.2319","volume":"290","author":"JB Tenenbaum","year":"2000","unstructured":"Tenenbaum, J. B., de Silva, V., & Langford, J. C. (2000). A global geometric framework for nonlinear dimensionality reduction. Science, 290(5500), 2319\u20132323.","journal-title":"Science"},{"key":"334_CR35","doi-asserted-by":"crossref","unstructured":"Turk, Matthew A. & Pentland, A. P. (1991) . Face recognition using eigenfaces. In IEEE Computer Society Conference on Computer Vision and Pattern Recognition, pp. 586\u2013591.","DOI":"10.1109\/CVPR.1991.139758"},{"key":"334_CR36","doi-asserted-by":"crossref","unstructured":"Unser, M. (2000). Sampling\u201450 years after Shannon. Proceedings of the IEEE, 88(4), 569\u2013587.","DOI":"10.1109\/5.843002"},{"key":"334_CR37","doi-asserted-by":"crossref","unstructured":"Vasuhi, S., & Vaidehi, V. (2009). Identification of human faces using orthogonal locality preserving projections. In International Conference on Signal Processing Systems.","DOI":"10.1109\/ICSPS.2009.158"},{"issue":"10","key":"334_CR38","doi-asserted-by":"crossref","first-page":"2429","DOI":"10.1016\/S0031-3203(03)00044-X","volume":"36","author":"X Wang","year":"2003","unstructured":"Wang, X., & Paliwal, K. K. (2003). Feature extraction and dimensionality reduction algorithms and their applications in vowel recognition. Pattern Recognition, 36(10), 2429\u20132439.","journal-title":"Pattern Recognition"},{"issue":"2","key":"334_CR39","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1016\/j.patcog.2003.07.005","volume":"37","author":"C Zhang","year":"2004","unstructured":"Zhang, C., Wang, J., Zhao, N., & Zhang, D. (2004). Reconstruction and analysis of multi-pose face images based on nonlinear dimensionality reduction. Pattern Recognition, 37(2), 325\u2013336.","journal-title":"Pattern Recognition"}],"container-title":["Multidimensional Systems and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11045-015-0334-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11045-015-0334-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11045-015-0334-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11045-015-0334-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,3]],"date-time":"2020-09-03T11:43:55Z","timestamp":1599133435000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11045-015-0334-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,6,15]]},"references-count":39,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2017,1]]}},"alternative-id":["334"],"URL":"https:\/\/doi.org\/10.1007\/s11045-015-0334-7","relation":{},"ISSN":["0923-6082","1573-0824"],"issn-type":[{"value":"0923-6082","type":"print"},{"value":"1573-0824","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,6,15]]}}}