{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T17:46:16Z","timestamp":1742924776902,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":17,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540646136"},{"type":"electronic","value":"9783540692355"}],"license":[{"start":{"date-parts":[[1998,1,1]],"date-time":"1998-01-01T00:00:00Z","timestamp":883612800000},"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":[],"published-print":{"date-parts":[[1998]]},"DOI":"10.1007\/bfb0054747","type":"book-chapter","created":{"date-parts":[[2006,8,1]],"date-time":"2006-08-01T08:09:53Z","timestamp":1154419793000},"page":"271-287","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["The structure of the optic flow field"],"prefix":"10.1007","author":[{"given":"Mads","family":"Nielsen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ole Fogh","family":"Olsen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2006,5,26]]},"reference":[{"key":"18_CR1","unstructured":"Vladimir I. Arnol'd. Ordinary Differential Equations. Springer Verlag, 3 edition, 1992."},{"key":"18_CR2","volume-title":"Technical Report","author":"J. Arnspang","year":"1988","unstructured":"J. Arnspang. Notes on local determination of smooth optic flow and the translational property of first order optic flow. Technical Report 88-1, Institute of Datalogy, University of Copenhagen, Denmark, 1988."},{"key":"18_CR3","unstructured":"J. Damon. Local Morse theory for solutions to the heat equation and Gaussian blurring. Journal of Differential Equations, 1993."},{"key":"18_CR4","unstructured":"Luc Florack, Wiro Niessen, and Mads Nielsen. The intrinsic structure of optic flow incorporating measurement duality. International Journal on Computer Vision, 1997. (In Press)."},{"issue":"4","key":"18_CR5","doi-asserted-by":"publisher","first-page":"719","DOI":"10.1017\/S0022112078001846","volume":"87","author":"U. Frisch","year":"1987","unstructured":"U. Frisch, P. Sulem, and M. Nelkin. A simple model of intermittent fully developed turbulence. Journal of Fluid Mechanics, 87(4):719\u2013736, 1987.","journal-title":"Journal of Fluid Mechanics"},{"key":"18_CR6","unstructured":"Robert Gilmore. Catastrophe Theory for Scientist and Engineers. Dover, 1981."},{"key":"18_CR7","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1016\/0004-3702(81)90024-2","volume":"23","author":"B. Horn","year":"1981","unstructured":"B. Horn and B. Schunck. Determining optical flow. Artificial Intelligence, 23:185\u2013203, 1981.","journal-title":"Artificial Intelligence"},{"key":"18_CR8","unstructured":"B. J\u00c4hne. Spatio-Temporal Image Processing-Theory and Scientific Applications. Lecture Notes in Computer Science, VOLUME = 751, PUBLISHER =."},{"key":"18_CR9","first-page":"705","volume-title":"Technical Report 290","author":"Y. L. Kergosien","year":"1980","unstructured":"Y. L. Kergosien and R. Thom. Sur les points parabolique des surfaces. Technical Report 290:705\u2013710, C.R. Acad. Sci. Paris t., 1980."},{"issue":"2","key":"18_CR10","doi-asserted-by":"crossref","first-page":"530","DOI":"10.1364\/JOSAA.9.000530","volume":"8","author":"J. J. Koenderink","year":"1992","unstructured":"J. J. Koenderink and A. J. van Doorn. Second order optic flow. Journal of the Optical Society of America, 8(2):530\u2013538, 1992.","journal-title":"Journal of the Optical Society of America"},{"key":"18_CR11","first-page":"301","volume":"30","author":"A. N. Kolmogorov","year":"1941","unstructured":"A. N. Kolmogorov. The local structure of turbulence in incressible viscious fluids for very large reynolds numbers. Technical report, C R Acad. Sci. USSR 30, 301, 1941.","journal-title":"Technical report, C R Acad. Sci. USSR"},{"key":"18_CR12","doi-asserted-by":"crossref","unstructured":"William E. Lorenson and Harvey E. Cline. Marching cubes: A high resolution 3d surface reconstruction algorithm. Computer Graphics, 21(4), 1987.","DOI":"10.1145\/37402.37422"},{"key":"18_CR13","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/S0734-189X(83)80030-9","volume":"21","author":"H. H. Nagel","year":"1983","unstructured":"H. H. Nagel. Displacement vectors derived from second-order intensity variations in image sequences. Comp. Graph. and Image Proc., 21:85\u2013117, 1983.","journal-title":"Comp. Graph. and Image Proc."},{"key":"18_CR14","doi-asserted-by":"crossref","unstructured":"M. Otte and H. H. Nagel. Optical flow estimation: Advances and comparisons. In J.-O. Eklundh, editor, Proc. Europ. Conf. on Computer Vision, pages 51\u201360, Stockholm, Sweden, 1994.","DOI":"10.1007\/3-540-57956-7_5"},{"key":"18_CR15","unstructured":"Jean Philip Thirion and Alexis Gourdon. The marching lins algorithm: new results and proofs. Technical Report 1881, INRIA, 1993."},{"issue":"5","key":"18_CR16","doi-asserted-by":"publisher","first-page":"698","DOI":"10.1364\/JOSAA.6.000698","volume":"6","author":"A. Verri","year":"1989","unstructured":"A. Verri, F. Girosi, and V. Torre. Mathematical properties of the two-dimensional motion field: from singular points to motion parameters. Journal of the Optical Society of America-A, 6(5):698\u2013712, 1989.","journal-title":"Journal of the Optical Society of America-A"},{"key":"18_CR17","volume-title":"PhD thesis, Utrecht University","author":"P. Werkhoven","year":"1990","unstructured":"P. Werkhoven. Visual Perception of Successive Order. PhD thesis, Utrecht University, University of Utrecht, Dept. of Physics of Man, Princetonplein 5, 3508 TA Utrecht, the Netherlands, May 1990."}],"container-title":["Lecture Notes in Computer Science","Computer Vision \u2014 ECCV\u201998"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BFb0054747","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,12,18]],"date-time":"2019-12-18T05:53:23Z","timestamp":1576648403000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BFb0054747"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998]]},"ISBN":["9783540646136","9783540692355"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/bfb0054747","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[1998]]},"assertion":[{"value":"26 May 2006","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}