{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,10]],"date-time":"2026-03-10T00:02:25Z","timestamp":1773100945875,"version":"3.50.1"},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2016,9,16]],"date-time":"2016-09-16T00:00:00Z","timestamp":1473984000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"NSFC","doi-asserted-by":"crossref","award":["61471295"],"award-info":[{"award-number":["61471295"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Multidim Syst Sign Process"],"published-print":{"date-parts":[[2018,1]]},"DOI":"10.1007\/s11045-016-0452-x","type":"journal-article","created":{"date-parts":[[2016,9,16]],"date-time":"2016-09-16T12:51:33Z","timestamp":1474030293000},"page":"49-75","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Ellipse fitting via low-rank generalized multidimensional scaling matrix recovery"],"prefix":"10.1007","volume":"29","author":[{"given":"Junli","family":"Liang","sequence":"first","affiliation":[]},{"given":"Guoyang","family":"Yu","sequence":"additional","affiliation":[]},{"given":"Pengliang","family":"Li","sequence":"additional","affiliation":[]},{"given":"Liansheng","family":"Sui","sequence":"additional","affiliation":[]},{"given":"Yuntao","family":"Wu","sequence":"additional","affiliation":[]},{"given":"Weiren","family":"Kong","sequence":"additional","affiliation":[]},{"given":"Ding","family":"Liu","sequence":"additional","affiliation":[]},{"given":"H. C.","family":"So","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,9,16]]},"reference":[{"issue":"12","key":"452_CR1","doi-asserted-by":"crossref","first-page":"2283","DOI":"10.1016\/S0031-3203(00)00152-7","volume":"34","author":"SJ Ahn","year":"2001","unstructured":"Ahn, S. J., Rauh, W., & Warnecke, H. J. (2001). Least-squares orthogonal distances fitting of circle, sphere, ellipse, hyperbola, and parabola. Pattern Recognition, 34(12), 2283\u20132303.","journal-title":"Pattern Recognition"},{"issue":"6","key":"452_CR2","doi-asserted-by":"crossref","first-page":"1147","DOI":"10.1109\/TPAMI.2008.279","volume":"31","author":"DS Barwick","year":"2009","unstructured":"Barwick, D. S. (2009). Very fast best-fit circular and elliptical boundaries by chord data. IEEE Transactions on Pattern Analysis and Machine Intelligence, 31(6), 1147\u20131152.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"452_CR3","volume-title":"Modern multidimensional scaling: Theory and applications","author":"I Borg","year":"2003","unstructured":"Borg, I., & Groenen, P. (2003). Modern multidimensional scaling: Theory and applications. New York: Springer."},{"key":"452_CR4","unstructured":"Boyd, S., Parikh, N., Chu, E., Peleato, B., & Eckstein, J. (2011). Distributed optimization and statistical learning via the alternating direction method of multipliers. Foundations and Trends $$^{\\textregistered }$$ \u00ae in Machine Learning, 3(1), 1\u2013122."},{"issue":"4","key":"452_CR5","doi-asserted-by":"crossref","first-page":"1956","DOI":"10.1137\/080738970","volume":"20","author":"J Cai","year":"2010","unstructured":"Cai, J., Candes, E. J., & Shen, Z. (2010). A singular value thresholding algorithm for matrix completion. SIAM Journal of Optimization, 20(4), 1956\u20131982.","journal-title":"SIAM Journal of Optimization"},{"issue":"2","key":"452_CR6","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1023\/A:1016087702231","volume":"114","author":"YT Chan","year":"2002","unstructured":"Chan, Y. T., Elhalwagy, Y. Z., & Thomas, S. M. (2002). Estimation of circle parameters by centroiding. Journal of Optimization Theory and Applications, 114(2), 363\u2013371.","journal-title":"Journal of Optimization Theory and Applications"},{"issue":"7","key":"452_CR7","doi-asserted-by":"crossref","first-page":"707","DOI":"10.1016\/S0167-8655(99)00035-5","volume":"20","author":"MC Chen","year":"1999","unstructured":"Chen, M. C., Tsai, D. M., & Tseng, H. Y. (1999). A stochastic optimization approach for roundness measurement. Pattern Recognition Letters, 20(7), 707\u2013719.","journal-title":"Pattern Recognition Letters"},{"issue":"1","key":"452_CR8","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1109\/TCSVT.2003.818350","volume":"14","author":"J Daugman","year":"2004","unstructured":"Daugman, J. (2004). How iris recognition works. IEEE Transactions on Circuits and Systems for Video Technology, 14(1), 21\u201330.","journal-title":"IEEE Transactions on Circuits and Systems for Video Technology"},{"issue":"3","key":"452_CR9","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1109\/29.21710","volume":"37","author":"JR Deller","year":"1989","unstructured":"Deller, J. R., & Picache, G. P. (1989). Advantages of a givens rotation approach to temporally recursive linear prediction analysis of speech. IEEE Transactions on Acoustics, Speech, and Signal Processing, 37(3), 429\u2013431.","journal-title":"IEEE Transactions on Acoustics, Speech, and Signal Processing"},{"issue":"5","key":"452_CR10","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1016\/0262-8856(92)90041-Z","volume":"10","author":"T Ellis","year":"1992","unstructured":"Ellis, T., Abbood, A., & Brillault, B. (1992). Ellipse detection and matching with uncertainty. Image and Vision Computing, 10(5), 271\u2013276.","journal-title":"Image and Vision Computing"},{"issue":"5","key":"452_CR11","doi-asserted-by":"crossref","first-page":"476","DOI":"10.1109\/34.765658","volume":"21","author":"A Fitzgibbon","year":"1999","unstructured":"Fitzgibbon, A., Pilu, M., & Fisher, R. B. (1999). Direct least square fitting of ellipse. IEEE Transactions on Pattern Analysis and Machine Intelligence, 21(5), 476\u2013480.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"452_CR12","doi-asserted-by":"crossref","first-page":"558","DOI":"10.1007\/BF01934268","volume":"34","author":"W Gander","year":"1994","unstructured":"Gander, W., Golub, G. H., & Strebel, R. (1994). Least-squares fitting of circles and ellipses. BIT, 34, 558\u2013578.","journal-title":"BIT"},{"key":"452_CR13","doi-asserted-by":"crossref","DOI":"10.56021\/9781421407944","volume-title":"Matrix computations","author":"GH Golub","year":"2013","unstructured":"Golub, G. H., & Van Loan, C. F. (2013). Matrix computations. Baltimore: Johns Hopkins University Press."},{"key":"452_CR14","volume-title":"Digital image processing","author":"RC Gonzalez","year":"2008","unstructured":"Gonzalez, R. C., & Woods, R. E. (2008). Digital image processing (3rd ed.). Upper Saddle River, NJ: Prentice Hall.","edition":"3"},{"key":"452_CR15","unstructured":"Halir, R., & Flusser, J. (1998). Numerically stable least squares fitting of ellipses. In Proceedings of the Sixth International Conference in Central Europe on Computer Graphics, Visualization, and Interactive Digital (Vol. 1, pp. 125\u2013132). Media."},{"issue":"9","key":"452_CR16","doi-asserted-by":"crossref","first-page":"2117","DOI":"10.1109\/TPAMI.2012.271","volume":"35","author":"Y Hu","year":"2013","unstructured":"Hu, Y., Zhang, D., Ye, J., Li, X., & He, X. (2013). Fast and accurate matrix completion via truncated nuclear norm regularization. IEEE Transactions on Pattern Analysis and Machine Intelligence, 35(9), 2117\u20132130.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"452_CR17","doi-asserted-by":"crossref","unstructured":"Jung, Y., Lee, D., & Bang, H. (2014). Study on ellipse fitting problem for vision-based autonomous landing of an UAV. In 14th International Conference on Control Automation and Systems (ICCAS) (pp. 1631\u20131634). Korea.","DOI":"10.1109\/ICCAS.2014.6987819"},{"issue":"7","key":"452_CR18","doi-asserted-by":"crossref","first-page":"1437","DOI":"10.1016\/j.ces.2004.01.010","volume":"59","author":"CW Lan","year":"2004","unstructured":"Lan, C. W. (2004). Recent progress of crystal growth modeling and growth control. Chemical Engineering Science, 59(7), 1437\u20131457.","journal-title":"Chemical Engineering Science"},{"key":"452_CR19","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4471-1940-1","volume-title":"Shape detection in computer vision using the hough transform","author":"VF Leavers","year":"1992","unstructured":"Leavers, V. F. (1992). Shape detection in computer vision using the hough transform. New York: Springer."},{"key":"452_CR20","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1007\/978-3-642-33509-9_14","volume":"7506","author":"J Liang","year":"2012","unstructured":"Liang, J., Liu, D., Zhao, Y., & Song, N. (2012). Multi-line fitting using two-stage iterative adaptive approach. Intelligent Robotics and Applications, Lecture Notes in Computer Science, 7506, 144\u2013153.","journal-title":"Intelligent Robotics and Applications, Lecture Notes in Computer Science"},{"issue":"6","key":"452_CR21","doi-asserted-by":"crossref","first-page":"2207","DOI":"10.1109\/TIP.2013.2246518","volume":"22","author":"J Liang","year":"2013","unstructured":"Liang, J., Zhang, M., Liu, D., Zeng, X., Jr, O. O., Zhao, K., et al. (2013). Robust ellipse fitting based on sparse combination of data points. IEEE Transactions on Image Processing, 22(6), 2207\u20132218.","journal-title":"IEEE Transactions on Image Processing"},{"key":"452_CR22","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2013\/469076","volume":"2013","author":"J Liang","year":"2013","unstructured":"Liang, J., Zhang, M., Zeng, X., Zhao, K., & Li, J. (2013). Circle fitting using a virtual source localization algorithm in wireless sensor network. International Journal of Distributed Sensor Networks, 2013, 1\u20136. (ID:203719).","journal-title":"International Journal of Distributed Sensor Networks"},{"issue":"4","key":"452_CR23","doi-asserted-by":"crossref","first-page":"1307","DOI":"10.1109\/TIM.2010.2086610","volume":"60","author":"D Liu","year":"2011","unstructured":"Liu, D., & Liang, J. (2011). A Bayesian approach to diameter estimation in the diameter control system of silicon single crystal growth. IEEE Transactions on Instrumentation and Measurment, 60(4), 1307\u20131315.","journal-title":"IEEE Transactions on Instrumentation and Measurment"},{"issue":"2","key":"452_CR24","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1108\/02644400310465281","volume":"20","author":"X Liu","year":"2003","unstructured":"Liu, X., Tang, M., & Frazer, J. H. (2003). Shape reconstruction by genetic algorithms and artificial neural networks. Engineering Computations: International Journal for Computer-Aided Engineering and Software, 20(2), 129\u2013151.","journal-title":"Engineering Computations: International Journal for Computer-Aided Engineering and Software"},{"key":"452_CR25","doi-asserted-by":"crossref","first-page":"896","DOI":"10.1007\/s00170-002-1412-1","volume":"21","author":"L Luo","year":"2003","unstructured":"Luo, L., Lin, Z., & Lai, X. (2003). New optimal method for complicated assembly curves fitting. The International Journal of Advanced Manufacturing Technology, 21, 896\u2013901.","journal-title":"The International Journal of Advanced Manufacturing Technology"},{"issue":"1\u20132","key":"452_CR26","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1007\/s10107-009-0306-5","volume":"128","author":"S Ma","year":"2011","unstructured":"Ma, S., Goldfarb, D., & Chen, L. (2011). Fixed point and Bregman iterative methods for matrix rank minimization. Mathematical Programming: Series A and B, 128(1\u20132), 321\u2013353.","journal-title":"Mathematical Programming: Series A and B"},{"issue":"6","key":"452_CR27","doi-asserted-by":"crossref","first-page":"939","DOI":"10.1142\/S021800140600506X","volume":"20","author":"ES Maini","year":"2006","unstructured":"Maini, E. S. (2006). Enhanced direct least squares fitting of ellipses. International Journal of Pattern Recognition and Artificial Intelligence, 20(6), 939\u2013953.","journal-title":"International Journal of Pattern Recognition and Artificial Intelligence"},{"issue":"20","key":"452_CR28","doi-asserted-by":"crossref","first-page":"5213","DOI":"10.1109\/TSP.2014.2340820","volume":"62","author":"MM Mohammadreza","year":"2014","unstructured":"Mohammadreza, M. M., Massoud, B. Z., & Mikael, S. (2014). Iterative concave rank approximation for recovering low-rank matrices. IEEE Transactions on Signal Processing, 62(20), 5213\u20135226.","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"1","key":"452_CR29","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1016\/0262-8856(90)90054-9","volume":"8","author":"J Porrill","year":"1990","unstructured":"Porrill, J. (1990). Fitting ellipses and predicting confidence envelopes using a bias corrected Kalman filter. Image and Vision Computing, 8(1), 37\u201341.","journal-title":"Image and Vision Computing"},{"issue":"10","key":"452_CR30","doi-asserted-by":"crossref","first-page":"799","DOI":"10.1016\/0167-8655(93)90062-I","volume":"14","author":"PL Rosin","year":"1993","unstructured":"Rosin, P. L. (1993). A note on the least squares fitting of ellipses. Pattern Recognition Letters, 14(10), 799\u2013808.","journal-title":"Pattern Recognition Letters"},{"issue":"9\/10","key":"452_CR31","doi-asserted-by":"crossref","first-page":"897","DOI":"10.1007\/s00170-004-2276-3","volume":"27","author":"HY Tseng","year":"2006","unstructured":"Tseng, H. Y. (2006). Welding parameters optimization for economic design using neural approximation and genetic algorithm. The International Journal of Advanced Manufacturing Technology, 27(9\/10), 897\u2013901.","journal-title":"The International Journal of Advanced Manufacturing Technology"},{"issue":"2","key":"452_CR32","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1108\/17410380710722908","volume":"18","author":"HY Tseng","year":"2007","unstructured":"Tseng, H. Y., & Lin, C. C. (2007). A simulated annealing approach for curve fitting in automated manufacturing systems. Journal of Manufacturing Technology, 18(2), 202\u2013216.","journal-title":"Journal of Manufacturing Technology"}],"container-title":["Multidimensional Systems and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11045-016-0452-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11045-016-0452-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11045-016-0452-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,20]],"date-time":"2023-08-20T04:32:34Z","timestamp":1692505954000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11045-016-0452-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,9,16]]},"references-count":32,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,1]]}},"alternative-id":["452"],"URL":"https:\/\/doi.org\/10.1007\/s11045-016-0452-x","relation":{},"ISSN":["0923-6082","1573-0824"],"issn-type":[{"value":"0923-6082","type":"print"},{"value":"1573-0824","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,9,16]]}}}