{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,20]],"date-time":"2026-02-20T07:52:40Z","timestamp":1771573960724,"version":"3.50.1"},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2006,12,29]],"date-time":"2006-12-29T00:00:00Z","timestamp":1167350400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2006,12,29]],"date-time":"2006-12-29T00:00:00Z","timestamp":1167350400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int J Comput Vision"],"published-print":{"date-parts":[[2007,8]]},"DOI":"10.1007\/s11263-006-0015-y","type":"journal-article","created":{"date-parts":[[2006,12,28]],"date-time":"2006-12-28T02:05:59Z","timestamp":1167271559000},"page":"3-15","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":62,"title":["Globally Optimal Estimates for Geometric Reconstruction Problems"],"prefix":"10.1007","volume":"74","author":[{"given":"Fredrik","family":"Kahl","sequence":"first","affiliation":[]},{"given":"Didier","family":"Henrion","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2006,12,29]]},"reference":[{"key":"15_CR1","doi-asserted-by":"crossref","unstructured":"Agarwal, S., Chandraker, M.K., Kahl, F., Belongie, S., and Kriegman, D.J. 2006. Practical global optimization for multiview geometry. In European Conf. Computer Vision, Graz, Austria, pp. 592\u2013605.","DOI":"10.1007\/11744023_46"},{"key":"15_CR2","doi-asserted-by":"crossref","unstructured":"Boyd, S. and Vandenberghe, L. 2004. Convex Optimization, Cambridge University Press.","DOI":"10.1017\/CBO9780511804441"},{"issue":"3","key":"15_CR3","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1109\/34.990139","volume":"24","author":"G. Chesi","year":"2002","unstructured":"Chesi, G., Garullli, A., Vicino, A., and Cipolla, R. 2002. Estimating the fundamental matrix via constrained least-squares: A convex approach. IEEE Trans. Pattern Analysis and Machine Intelligence, 24(3):397\u2013401.","journal-title":"IEEE Trans. Pattern Analysis and Machine Intelligence"},{"key":"15_CR4","doi-asserted-by":"crossref","unstructured":"Fazel, M., Hindi, H., and Boyd, S. 2004. Rank minimization and applications in system theory. In American Control Conference, Vol. 4, pp. 3273\u20133278.","DOI":"10.23919\/ACC.2004.1384521"},{"issue":"12","key":"15_CR5","doi-asserted-by":"publisher","first-page":"1633","DOI":"10.1109\/TPAMI.2004.125","volume":"26","author":"A. Fusiello","year":"2004","unstructured":"Fusiello, A., Benedetti, A., Farenzena, M., and Busti, A. 2004. Globally convergent autocalibration using interval analysis. IEEE Trans. Pattern Analysis and Machine Intelligence, 26(12):1633\u20131638.","journal-title":"IEEE Trans. Pattern Analysis and Machine Intelligence"},{"key":"15_CR6","unstructured":"Hartley, R. and Schaffalitzky, F. 2004. L_\u221e minimization in geometric reconstruction problems. In Conf. Computer Vision and Pattern Recognition, Washington DC, USA, Vol. I, pp. 504\u2013509."},{"issue":"2","key":"15_CR7","doi-asserted-by":"publisher","first-page":"146","DOI":"10.1006\/cviu.1997.0547","volume":"68","author":"R. Hartley","year":"1997","unstructured":"Hartley, R. and Sturm, P. 1997. Triangulation. Computer Vision and Image Understanding, 68(2):146\u2013157.","journal-title":"Computer Vision and Image Understanding"},{"key":"15_CR8","doi-asserted-by":"crossref","unstructured":"Hartley, R.I. and Zisserman, A. 2004. Multiple View Geometry in Computer Vision, 2nd Edn., Cambridge University Press.","DOI":"10.1017\/CBO9780511811685"},{"key":"15_CR9","doi-asserted-by":"crossref","unstructured":"Henrion, D. and Garulli, A. (Eds.) 2005. Positive Polynomials in Control. Lecture Notes in Control and Information Sciences. Springer-Verlag.","DOI":"10.1007\/b96977"},{"issue":"2","key":"15_CR10","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1145\/779359.779363","volume":"29","author":"D. Henrion","year":"2003","unstructured":"Henrion, D. and Lasserre, J.B. 2003. GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi. ACM Trans. Math. Soft., 29(2):165\u2013194.","journal-title":"ACM Trans. Math. Soft."},{"issue":"3","key":"15_CR11","doi-asserted-by":"publisher","first-page":"72","DOI":"10.1109\/MCS.2004.1299534","volume":"24","author":"D. Henrion","year":"2004","unstructured":"Henrion, D. and Lasserre, J.B. 2004. Solving nonconvex optimization problems\u2014how GloptiPoly is applied to problems in robust and nonlinear control. IEEE Control Systems Magazine, 24(3):72\u201383.","journal-title":"IEEE Control Systems Magazine"},{"key":"15_CR12","doi-asserted-by":"crossref","unstructured":"Henrion, D. and Lasserre, J.B. 2005. Detecting global optimality and extracting solutions in GloptiPoly. In Positive Polynomials in Control, Springer-Verlag.","DOI":"10.1007\/10997703_15"},{"issue":"2","key":"15_CR13","doi-asserted-by":"publisher","first-page":"192","DOI":"10.1109\/TAC.2005.863494","volume":"51","author":"D. Henrion","year":"2006","unstructured":"Henrion, D. and Lasserre, J.B. 2006. Convergent relaxations of polynomial matrix inequalities and static output feedback. IEEE Trans. Automatic Control, 51(2):192\u2013202.","journal-title":"IEEE Trans. Automatic Control"},{"issue":"1","key":"15_CR14","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1007\/s10107-005-0589-0","volume":"106","author":"D. Jibetean","year":"2006","unstructured":"Jibetean, D. and de Klerk, E. 2006. Global optimization of rational functions: A semidefinite programming approach. Mathematical Programming, 106(1):93\u2013109.","journal-title":"Mathematical Programming"},{"key":"15_CR15","unstructured":"Kahl, F. 2005. Multiple view geometry and the L_\u221e-norm. In Int. Conf. Computer Vision, Beijing, China, pp. 1002\u20131009."},{"key":"15_CR16","doi-asserted-by":"crossref","unstructured":"Kahl, F. and Henrion, D. 2005. Globally optimal estimates for geometric reconstruction problems. In Int. Conf. Computer Vision, Beijing, China, pp. 978\u2013985.","DOI":"10.1109\/ICCV.2005.109"},{"issue":"4","key":"15_CR17","doi-asserted-by":"publisher","first-page":"418","DOI":"10.1109\/34.917578","volume":"23","author":"F. Kahl","year":"2001","unstructured":"Kahl, F., Heyden, A., and Quan, L. 2001. Minimal projective reconstruction including missing data. IEEE Trans. Pattern Analysis and Machine Intelligence, 23(4):418\u2013424.","journal-title":"IEEE Trans. Pattern Analysis and Machine Intelligence"},{"key":"15_CR18","unstructured":"Kim, Y. and Mesbahi, M. 2004. On the rank minimization problem. In American Control Conference, Vol. 3, pp. 2015\u20132020."},{"key":"15_CR19","doi-asserted-by":"crossref","unstructured":"Kolmogorov, V. and Zabih, R. 2002. Multi-camera scene reconstruction via graph cuts. In European Conf. Computer Vision, Copenhagen, Denmark, Vol. III, pp. 82\u201396.","DOI":"10.1007\/3-540-47977-5_6"},{"key":"15_CR20","doi-asserted-by":"publisher","first-page":"796","DOI":"10.1137\/S1052623400366802","volume":"11","author":"J.B. Lasserre","year":"2001","unstructured":"Lasserre, J.B. 2001. Global optimization with polynomials and the problem of moments. SIAM J. Optimization, 11:796\u2013817.","journal-title":"SIAM J. Optimization"},{"key":"15_CR21","unstructured":"Ma, Y., Soatto, S., Kosecka, J., and Sastry, S. 2003. An Invitation to 3-D Vision: From Images to Geometric Models, Springer Verlag."},{"key":"15_CR22","unstructured":"Nist\u00e9r, D. 2001. Automatic dense reconstruction from uncalibrated video sequences. PhD thesis, Royal Institute of Technology KTH, Sweden."},{"issue":"12","key":"15_CR23","doi-asserted-by":"publisher","first-page":"1618","DOI":"10.1109\/TPAMI.2002.1114853","volume":"24","author":"J. Oliensis","year":"2002","unstructured":"Oliensis, J. 2002. Exact two-image structure from motion. IEEE Trans. Pattern Analysis and Machine Intelligence, 24(12):1618\u20131633.","journal-title":"IEEE Trans. Pattern Analysis and Machine Intelligence"},{"key":"15_CR24","doi-asserted-by":"crossref","unstructured":"Shor, N.Z. 1998. Nondifferentiable Optimization and Polynomial Problems, Kluwer Academic Publishers.","DOI":"10.1007\/978-1-4757-6015-6"},{"key":"15_CR25","unstructured":"Soatto, S. and Brockett, R. 1998. Optimal structure from motion: Local ambiguities and global estimates. In Conf. Computer Vision and Pattern Recognition, Santa Barbara, USA."},{"key":"15_CR26","doi-asserted-by":"crossref","unstructured":"Stew\u00e9nius, H., Schaffalitzky, F., and Nist\u00e9r, D. 2005. How hard is three-view triangulation really? In Int. Conf. Computer Vision, Beijing, China, pp. 686\u2013693.","DOI":"10.1109\/ICCV.2005.115"},{"key":"15_CR27","doi-asserted-by":"crossref","unstructured":"Sturm, J.F. 1999. Using SeDuMi 1.02, a Matlab toolbox for optimization over symmetric cones. Optimization Methods and Software, 11\u201312:625\u2013653.","DOI":"10.1080\/10556789908805766"},{"key":"15_CR28","doi-asserted-by":"crossref","unstructured":"Szeliski, R. and Kang, S.B. 1997. Shape ambiguities in structure from motion. IEEE Trans. Pattern Analysis and Machine Intelligence, 19(5).","DOI":"10.1109\/34.589211"},{"issue":"2","key":"15_CR29","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1007\/BF00129684","volume":"9","author":"C. Tomasi","year":"1992","unstructured":"Tomasi, C. and Kanade, T. 1992. Shape and motion from image streams under orthography: A factorization method. Int. Journal Computer Vision, 9(2):137\u2013154.","journal-title":"Int. Journal Computer Vision"},{"key":"15_CR30","doi-asserted-by":"crossref","unstructured":"Triggs, B., McLauchlan, P.F., Hartley, R.I., and Fitzgibbon, A.W. 1999. Bundle adjustment\u2014a modern synthesis. In Vision Algorithms\u201999, pp. 298\u2013372, in conjunction with ICCV\u201999, Kerkyra, Greece.","DOI":"10.1007\/3-540-44480-7_21"},{"issue":"1","key":"15_CR31","doi-asserted-by":"crossref","first-page":"218","DOI":"10.1137\/050623802","volume":"17","author":"H. Waki","year":"2006","unstructured":"Waki, H., Kim, S., Kojima, M., and Muramatsu, M. 2006. Sums of squares and semidefinite programming relaxations for polynomial optimization problems with structured sparsity. SIAM J. Optimization, 17(1):218\u2013242.","journal-title":"SIAM J. Optimization"},{"issue":"7","key":"15_CR32","doi-asserted-by":"publisher","first-page":"717","DOI":"10.1109\/34.689302","volume":"20","author":"Z. Zhang","year":"1998","unstructured":"Zhang, Z. 1998. On the optimization criteria used in two-view motion analysis. IEEE Trans. Pattern Analysis and Machine Intelligence, 20(7):717\u2013729.","journal-title":"IEEE Trans. Pattern Analysis and Machine Intelligence"}],"container-title":["International Journal of Computer Vision"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11263-006-0015-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11263-006-0015-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11263-006-0015-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11263-006-0015-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,17]],"date-time":"2022-05-17T22:45:25Z","timestamp":1652827525000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11263-006-0015-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,12,29]]},"references-count":32,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2007,8]]}},"alternative-id":["15"],"URL":"https:\/\/doi.org\/10.1007\/s11263-006-0015-y","relation":{},"ISSN":["0920-5691","1573-1405"],"issn-type":[{"value":"0920-5691","type":"print"},{"value":"1573-1405","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,12,29]]},"assertion":[{"value":"6 March 2006","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 August 2006","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 December 2006","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}