{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T03:03:18Z","timestamp":1725505398357},"publisher-location":"Berlin, Heidelberg","reference-count":18,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540782742"},{"type":"electronic","value":"9783540782759"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-78275-9_23","type":"book-chapter","created":{"date-parts":[[2008,3,17]],"date-time":"2008-03-17T16:04:12Z","timestamp":1205769852000},"page":"262-273","source":"Crossref","is-referenced-by-count":4,"title":["A Convergence Proof for the Horn-Schunck Optical-Flow Computation Scheme Using Neighborhood Decomposition"],"prefix":"10.1007","author":[{"given":"Yusuke","family":"Kameda","sequence":"first","affiliation":[]},{"given":"Atsushi","family":"Imiya","sequence":"additional","affiliation":[]},{"given":"Naoya","family":"Ohnishi","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"23_CR1","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1007\/BF01420984","volume":"12","author":"J.L. Barron","year":"1994","unstructured":"Barron, J.L., Fleet, D.J., Beauchemin, S.S.: Performance of optical flow techniques. International Journal of Computer Vision\u00a012, 43\u201377 (1994)","journal-title":"International Journal of Computer Vision"},{"key":"23_CR2","volume-title":"Introduction to Matrix Analysis","author":"R. Bellman","year":"1987","unstructured":"Bellman, R.: Introduction to Matrix Analysis, 2nd edn. SIAM, Philadelphia (1987)","edition":"2"},{"key":"23_CR3","volume-title":"Two Dimensional Imaging","author":"R.N. Bracewell","year":"1995","unstructured":"Bracewell, R.N.: Two Dimensional Imaging. Prentice-Hall, Englewood Cliffs (1995)"},{"key":"23_CR4","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611971446","volume-title":"Applied Numerical Linear Algebra","author":"J.W. Demmel","year":"1997","unstructured":"Demmel, J.W.: Applied Numerical Linear Algebra. SIAM, Philadelphia (1997)"},{"key":"23_CR5","doi-asserted-by":"publisher","first-page":"160","DOI":"10.1016\/0262-8856(91)90010-M","volume":"9","author":"W. Enkelmann","year":"1991","unstructured":"Enkelmann, W.: Obstacle detection by evaluation of optical flow fields from image sequences. Image and Vision Computing\u00a09, 160\u2013168 (1991)","journal-title":"Image and Vision Computing"},{"key":"23_CR6","doi-asserted-by":"crossref","unstructured":"Grossmann, Ch., Terno, J.: Numerik der Optimierung. Teubner (1997)","DOI":"10.1007\/978-3-322-80135-7"},{"key":"23_CR7","doi-asserted-by":"crossref","unstructured":"Grossmann, Ch., Roos, H.-G.: Numerik partieller Differentialgleichungen. Trubner (1994)","DOI":"10.1007\/978-3-322-96752-7"},{"key":"23_CR8","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1016\/0004-3702(81)90024-2","volume":"17","author":"B.K.P. Horn","year":"1981","unstructured":"Horn, B.K.P., Schunck, B.G.: Determining optical flow. Artificial Intelligence\u00a017, 185\u2013204 (1981)","journal-title":"Artificial Intelligence"},{"key":"23_CR9","doi-asserted-by":"publisher","first-page":"939","DOI":"10.1016\/0031-3203(93)90059-6","volume":"26","author":"S.-H. Hwang","year":"1993","unstructured":"Hwang, S.-H., Lee, U.K.: A hierarchical optical flow estimation algorithm based on the interlevel motion smoothness constraint. Pattern Recognition\u00a026, 939\u2013952 (1993)","journal-title":"Pattern Recognition"},{"key":"23_CR10","doi-asserted-by":"publisher","first-page":"848","DOI":"10.1109\/TIP.2004.827235","volume":"13","author":"A. Mitiche","year":"2004","unstructured":"Mitiche, A., Mansouri, A.-R.: On convergence of the Horn and Schunck optical-flow computation. IEEE, Image Processing\u00a013, 848\u2013852 (2004)","journal-title":"IEEE, Image Processing"},{"key":"23_CR11","doi-asserted-by":"publisher","first-page":"299","DOI":"10.1016\/0004-3702(87)90041-5","volume":"33","author":"H.-H. Nagel","year":"1987","unstructured":"Nagel, H.-H.: On the estimation of optical flow: Relations between different approaches and some new results. Artificial Intelligence\u00a033, 299\u2013324 (1987)","journal-title":"Artificial Intelligence"},{"key":"23_CR12","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1080\/09540090500140990","volume":"17","author":"N. Ohnishi","year":"2005","unstructured":"Ohnishi, N., Imiya, A.: Featureless robot navigation using optical flow. Connection Science\u00a017, 23\u201346 (2005)","journal-title":"Connection Science"},{"key":"23_CR13","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1007\/s00348-004-0880-5","volume":"38","author":"P. Ruhnau","year":"2005","unstructured":"Ruhnau, P., Knohlberger, T., Schnoerr, C., Nobach, H.: Variational optical flow estimation for particle image velocimetry. Experiments in Fluids\u00a038, 21\u201332 (2005)","journal-title":"Experiments in Fluids"},{"key":"23_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","DOI":"10.1007\/b96841","volume-title":"Computational Cardiology","author":"B.F. Sachse","year":"2004","unstructured":"Sachse, B.F.: Computational Cardiology, Modeling of Anatomy, Electrophysiology, and Mechanics. In: Sachse, F.B. (ed.) Computational Cardiology. LNCS, vol.\u00a02966, Springer, Heidelberg (2004)"},{"key":"23_CR15","doi-asserted-by":"publisher","first-page":"130","DOI":"10.1007\/BF01216818","volume":"9","author":"J. Santos-Victor","year":"1996","unstructured":"Santos-Victor, J., Sandini, G.: Uncalibrated obstacle detection using normal flow. Machine Vision and Applications\u00a09, 130\u2013137 (1996)","journal-title":"Machine Vision and Applications"},{"key":"23_CR16","doi-asserted-by":"crossref","unstructured":"Strang, G., Nguyen, T.: Wavelets and Filter Banks. Wellesley-Cambridge (1997)","DOI":"10.1093\/oso\/9780195094237.003.0002"},{"key":"23_CR17","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-05156-2","volume-title":"Matrix Iteration Analysis","author":"R.S. Varga","year":"2000","unstructured":"Varga, R.S.: Matrix Iteration Analysis, 2nd edn. Springer, Heidelberg (2000)","edition":"2"},{"key":"23_CR18","doi-asserted-by":"crossref","unstructured":"Zhou, Z., Synolakis, C.E., Leahy, R.M., Song, S.M.: Calculation of 3D internal displacement fields from 3D X-ray computer tomographic images. In: Proceedings of Royal Society: Mathematical and Physical Sciences, vol.\u00a0449, pp. 537\u2013554 (1995)","DOI":"10.1098\/rspa.1995.0057"}],"container-title":["Lecture Notes in Computer Science","Combinatorial Image Analysis"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-78275-9_23.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,23]],"date-time":"2024-02-23T21:12:34Z","timestamp":1708722754000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-78275-9_23"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540782742","9783540782759"],"references-count":18,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-78275-9_23","relation":{},"subject":[]}}