{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,20]],"date-time":"2026-02-20T07:52:41Z","timestamp":1771573961228,"version":"3.50.1"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"9","license":[{"start":{"date-parts":[[2019,9,24]],"date-time":"2019-09-24T00:00:00Z","timestamp":1569283200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,9,24]],"date-time":"2019-09-24T00:00:00Z","timestamp":1569283200000},"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 Math Imaging Vis"],"published-print":{"date-parts":[[2019,11]]},"DOI":"10.1007\/s10851-019-00908-w","type":"journal-article","created":{"date-parts":[[2019,9,24]],"date-time":"2019-09-24T17:05:01Z","timestamp":1569344701000},"page":"1322-1328","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Critical Loci for Two Views Reconstruction as Quadratic Transformations Between Images"],"prefix":"10.1007","volume":"61","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1988-653X","authenticated-orcid":false,"given":"Marina","family":"Bertolini","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Luca","family":"Magri","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cristina","family":"Turrini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,9,24]]},"reference":[{"key":"908_CR1","doi-asserted-by":"publisher","DOI":"10.4171\/064","volume-title":"Lectures on Curves. Surfaces and Projective Varieties: A Classical View of Algebraic Geometry. EMS Textbooks in Mathematics","author":"M Beltrametti","year":"2009","unstructured":"Beltrametti, M., Carletti, E., Gallarati, D.: Lectures on Curves. Surfaces and Projective Varieties: A Classical View of Algebraic Geometry. EMS Textbooks in Mathematics, vol. 9. European Mathematical Society, Z\u00fcrich (2009)"},{"key":"908_CR2","doi-asserted-by":"crossref","unstructured":"Bertolini, M., Besana, G.M., Turrini, C.: Instability of projective reconstruction from 1-view near critical configurations in higher dimensions. In: Alberto, C., Juan, M., Claudia, P. (eds.) Algebra Geometry and their Interactions. Contemporary Mathematics, vol. 448, pp. 1\u201312 (2007)","DOI":"10.1090\/conm\/448\/08654"},{"key":"908_CR3","doi-asserted-by":"crossref","unstructured":"Bertolini, M., Besana, G.M., Turrini, C.: Instability of projective reconstruction of dynamic scenes near critical configurations. In: Proceedings of the International Conference on Computer Vision, ICCV (2007)","DOI":"10.1109\/ICCV.2007.4409100"},{"key":"908_CR4","volume-title":"Tensors in Image Processing and Computer Vision. Advances in Pattern Recognition","author":"M Bertolini","year":"2009","unstructured":"Bertolini, M., Besana, G.M., Turrini, C.: Applications of multiview tensors in higher dimensions. In: Aja-Fern\u00e1ndez, S., de Luis Garcia, R., Tao, D., Li, X. (eds.) Tensors in Image Processing and Computer Vision. Advances in Pattern Recognition. Springer, Berlin (2009)"},{"key":"908_CR5","doi-asserted-by":"publisher","first-page":"335","DOI":"10.1016\/j.laa.2014.11.021","volume":"469","author":"M Bertolini","year":"2015","unstructured":"Bertolini, M., Besana, G.M., Turrini, C.: Critical loci for projective reconstruction from multiple views in higher dimension: a comprehensive theoretical approach. Linear Algebra Appl. 469, 335\u2013363 (2015)","journal-title":"Linear Algebra Appl."},{"key":"908_CR6","doi-asserted-by":"publisher","first-page":"74","DOI":"10.1016\/j.jsc.2018.06.014","volume":"91","author":"M Bertolini","year":"2017","unstructured":"Bertolini, M., Notari, R., Turrini, C.: The Bordiga surface as critical locus for 3-view reconstructions. J. Symb. Comput. 91, 74\u201397 (2017). (Special Issue MEGA)","journal-title":"J. Symb. Comput."},{"key":"908_CR7","doi-asserted-by":"publisher","first-page":"277","DOI":"10.1007\/s10851-007-0649-6","volume":"27","author":"M Bertolini","year":"2007","unstructured":"Bertolini, M., Turrini, C.: Critical configurations for 1-view in projections from $${\\mathbb{P}}^{k} \\rightarrow {\\mathbb{P}}^{2}$$. J. Math. Imaging Vis. 27, 277\u2013287 (2007)","journal-title":"J. Math. Imaging Vis."},{"key":"908_CR8","doi-asserted-by":"publisher","first-page":"130","DOI":"10.1016\/0734-189X(88)90146-6","volume":"42","author":"T Buchanan","year":"1988","unstructured":"Buchanan, T.: The twisted cubic and camera calibration. Comput. Vis. Graph. Image Process. 42, 130\u2013132 (1988)","journal-title":"Comput. Vis. Graph. Image Process."},{"key":"908_CR9","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139084437","volume-title":"Classical Algebraic Geometry: A Modern View","author":"IV Dolgachev","year":"2012","unstructured":"Dolgachev, I.V.: Classical Algebraic Geometry: A Modern View. Cambridge University Press, Cambridge (2012). \n                    https:\/\/doi.org\/10.1017\/CBO9781139084437"},{"key":"908_CR10","volume-title":"Three-Dimensional Computer Vision. A Geometric Viewpoint","author":"O Faugeras","year":"1993","unstructured":"Faugeras, O.: Three-Dimensional Computer Vision. A Geometric Viewpoint. MIT Press, Cambridge (1993)"},{"issue":"1","key":"908_CR11","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1007\/s11263-005-4796-1","volume":"71","author":"R Hartley","year":"2007","unstructured":"Hartley, R., Kahl, F.: Critical configurations for projective reconstruction from multiple views. Int. J. Comput. Vis. 71(1), 5\u201347 (2007)","journal-title":"Int. J. Comput. Vis."},{"key":"908_CR12","volume-title":"Multiple View Geometry in Computer Vision","author":"R Hartley","year":"2003","unstructured":"Hartley, R., Zisserman, A.: Multiple View Geometry in Computer Vision, 2nd edn. Cambridge University Press, Cambridge (2003). (With a foreword by Olivier Faugeras)","edition":"2"},{"key":"908_CR13","volume-title":"Cremona Transformation in Plane and Space","author":"HP Hudson","year":"1927","unstructured":"Hudson, H.P.: Cremona Transformation in Plane and Space. Cambridge University Press, Cambridge (1927)"},{"key":"908_CR14","doi-asserted-by":"publisher","first-page":"327","DOI":"10.1007\/BF01707311","volume":"49","author":"J Krames","year":"1940","unstructured":"Krames, J.: Zur ermittlung eines objectes aus zwei perspectiven (ein beitrag zur theorie der gefhrlichen rter). Monatsh. Math. Phys. 49, 327\u2013354 (1940)","journal-title":"Monatsh. Math. Phys."},{"key":"908_CR15","volume-title":"Theory of Reconstruction from Image Motion","author":"S Maybank","year":"1992","unstructured":"Maybank, S.: Theory of Reconstruction from Image Motion. Springer, Secaucus (1992)"},{"key":"908_CR16","volume-title":"Algebraic Projective Geometry","author":"JG Semple","year":"1952","unstructured":"Semple, J.G., Kneebone, G.T.: Algebraic Projective Geometry. Oxford University Press, Oxford (1952)"},{"key":"908_CR17","doi-asserted-by":"publisher","first-page":"415","DOI":"10.1016\/S0262-8856(02)00012-4","volume":"20","author":"P Sturm","year":"2002","unstructured":"Sturm, P.: Critical motion sequences for the self-calibration of cameras and stereo systems with variable focal length. Image Vis. Comput. 20, 415\u2013426 (2002)","journal-title":"Image Vis. Comput."}],"container-title":["Journal of Mathematical Imaging and Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-019-00908-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10851-019-00908-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-019-00908-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,22]],"date-time":"2020-09-22T23:05:59Z","timestamp":1600815959000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10851-019-00908-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,9,24]]},"references-count":17,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2019,11]]}},"alternative-id":["908"],"URL":"https:\/\/doi.org\/10.1007\/s10851-019-00908-w","relation":{},"ISSN":["0924-9907","1573-7683"],"issn-type":[{"value":"0924-9907","type":"print"},{"value":"1573-7683","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,9,24]]},"assertion":[{"value":"19 July 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 September 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 September 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}