{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T12:29:31Z","timestamp":1648556971553},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2005,12,7]],"date-time":"2005-12-07T00:00:00Z","timestamp":1133913600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Math Imaging Vis"],"published-print":{"date-parts":[[2006,1]]},"DOI":"10.1007\/s10851-005-3614-2","type":"journal-article","created":{"date-parts":[[2005,12,23]],"date-time":"2005-12-23T16:32:24Z","timestamp":1135355544000},"page":"37-53","source":"Crossref","is-referenced-by-count":2,"title":["The Generic Structure of the Optic Flow Field"],"prefix":"10.1007","volume":"24","author":[{"given":"Ole Fogh","family":"Olsen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mads","family":"Nielsen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2005,12,7]]},"reference":[{"key":"3614_CR1","unstructured":"V.I. Arnol'd, Ordinary Differential Equations, 3rd edition, Springer-Verlag, 1984. ISBN 3-540-54813-0, 1992."},{"key":"3614_CR2","unstructured":"J. Arnspang, \u201cNotes on local determination of smooth optic flow and the translational property of first order optic flow,\u201d Technical Report 88-1, Institute of Datalogy, University of Copenhagen, Denmark, 1988."},{"key":"3614_CR3","doi-asserted-by":"crossref","unstructured":"James Damon, \u201cLocal morse theory for gaussian blurred functions,\u201d in Gaussian Scale-Space, J. Sporring, M. Nielsen, L. Florack, and P. Johansen (Eds.), chap. 12. Kluwer Academic Publishers, 1996.","DOI":"10.1007\/978-94-015-8802-7_11"},{"key":"3614_CR4","doi-asserted-by":"crossref","unstructured":"L.M.J. Florack, W.J. Niessen, and M. Nielsen, \u201cThe intrinsic structure of optic flow incorporating measurement duality,\u201d International Journal of Computer Vision, Vol. 18, No. 3, pp. 263\u2013286, 1998.","DOI":"10.1023\/A:1007922215235"},{"issue":"4","key":"3614_CR5","doi-asserted-by":"crossref","first-page":"719","DOI":"10.1017\/S0022112078001846","volume":"87","author":"U. Frisch","year":"1987","unstructured":"U. Frisch, P. Sulem, and M. Nelkin, \u201cA simple model of intermittent fully developed turbulence,\u201d Journal of Fluid Mechanics, Vol. 87, No. 4: pp. 719\u2013736, 1987.","journal-title":"Journal of Fluid Mechanics"},{"key":"3614_CR6","unstructured":"R. Gilmore, Catastrophe Theory for Scientists and Engineers. Dover Publications, Inc. 1993; Originally by John Wiley and Sons, 1981. ISBN 0-486-67539-4."},{"key":"3614_CR7","unstructured":"M. Golubitsky and V. Guillemin, Stable Mappings and their Singularities, Springer Verlag, 1975."},{"key":"3614_CR8","doi-asserted-by":"crossref","unstructured":"B. Horn and B. Schunck, \u201cDetermining optical flow,\u201d Artificial Intelligence, Vol. 23: pp. 185\u2013203, 1981.","DOI":"10.1016\/0004-3702(81)90024-2"},{"key":"3614_CR9","unstructured":"B.K.P. Horn, Robot VIsion, MIT Press: Cambridge, MA, 1986."},{"key":"3614_CR10","doi-asserted-by":"crossref","unstructured":"B. J\u00e4hne, Spatio-Temporal Image Processing-Theory and Scientific Applications, volume 751 of Lecture Notes in Computer Science, Springer, 1993.","DOI":"10.1007\/3-540-57418-2"},{"key":"3614_CR11","unstructured":"Y.L. Kergosien and R. Thom, \u201cSur les points parabolique des surfaces,\u201d Technical Report Vol. 290, pp. 705\u2013710, C.R. Acad. Sci. Paris t., 1980."},{"key":"3614_CR12","doi-asserted-by":"crossref","unstructured":"J.J. Koenderink and A.J. van Doorn, \u201cSecond order optic flow,\u201d Journal of the Optical Society of America, Vol. 8, No. 2, pp. 530\u2013538, 1992.","DOI":"10.1364\/JOSAA.9.000530"},{"key":"3614_CR13","unstructured":"A.N. Kolmogorov, \u201cThe local structure of turbulence in incressible s viscious fluids for very large reynolds numbers, Technical report, C. R. Acad. Sci. USSR 30, 301, 1941."},{"key":"3614_CR14","doi-asserted-by":"crossref","unstructured":"W.E. Lorenson and H.E. Cline, \u201cMarching cubes: A high resolution 3d surface reconstruction algorithm,\u201d Computer Graphics, Vol. 21, No. 4, 1987.","DOI":"10.1145\/37402.37422"},{"key":"3614_CR15","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, \u201cDisplacement vectors derived from second-order intensity variations in image sequences,\u201d Computer Vision, Graphics, and Image Processing, Vol. 21, pp. 85\u2013117, 1983.","journal-title":"Computer Vision, Graphics, and Image Processing"},{"key":"3614_CR16","doi-asserted-by":"crossref","unstructured":"M. Nielsen and O.F. Olsen, \u201cThe structure of the optic flow field,\u201d in ECCV, volume 1407 of Lecture Notes in Computer Science, pp. II.271\u2013287, Jun 1998.","DOI":"10.1007\/BFb0054747"},{"key":"3614_CR17","doi-asserted-by":"crossref","unstructured":"P. Olver, G. Sapiro, and A. Tannenbaum, \u201cDifferential invariance signatures and flows in computer vision: A symmetry group approach,\u201d in Bart ter Haar Romeny (Ed.), Geometry-Driven Diffusion in Computer Vision, chapter 11. Kluwer Academic Publishers, 1994.","DOI":"10.1007\/978-94-017-1699-4_11"},{"key":"3614_CR18","doi-asserted-by":"crossref","unstructured":"M. Otte and H.H. Nagel, \u201cOptical flow estimation: Advances and comparisons,\u201d in Proc. Europ. Conf. on Computer Vision, J.-O. Eklundh (Ed.), Stockholm, Sweden, 1994, pp. 51\u201360","DOI":"10.1007\/3-540-57956-7_5"},{"key":"3614_CR19","unstructured":"J.P. Thirion and A. Gourdon, \u201cThe marching lines algorithm: new results and proofs,\u201d Technical Report 1881, INRIA, 1993."},{"key":"3614_CR20","doi-asserted-by":"crossref","unstructured":"A. Verri, F. Girosi, and V. Torre, \u201cMathematical properties of the two-dimensional motion field: From singular points to motion parameters,\u201d Journal of the Optical Society of America-A, Vol. 6, No. 5: pp. 698\u2013712, 1989.","DOI":"10.1364\/JOSAA.6.000698"},{"key":"3614_CR21","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."},{"key":"3614_CR22","unstructured":"R.P. Wildes, \u201cOn the qualitative structure of temporally evolving visual motion fields,\u201d 1993."}],"container-title":["Journal of Mathematical Imaging and Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-005-3614-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10851-005-3614-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-005-3614-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,11]],"date-time":"2020-04-11T20:11:49Z","timestamp":1586635909000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10851-005-3614-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,12,7]]},"references-count":22,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2006,1]]}},"alternative-id":["3614"],"URL":"https:\/\/doi.org\/10.1007\/s10851-005-3614-2","relation":{},"ISSN":["0924-9907","1573-7683"],"issn-type":[{"value":"0924-9907","type":"print"},{"value":"1573-7683","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,12,7]]}}}