Abstract
In this paper, we show that the randomized sampling and voting process detects linear flow filed as a model-fitting problem. We introduce a random sampling method for solving the least-square model-fitting-problem using a mathematical property for the construction of pseudo-inverse. If we use an appropriate number of images from a sequence of images, it is possible to detect subpixel motion in this sequence. We use the accumulator space for the unification of these flow vectors which are computed from different time intervals. Numerical examples for the test image sequences show the performance of our method.
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Imiya, A. and Fermin, I. Voting method for planarity and motion detection, Image and Vision Computing, 17, 1999, 867–879.
Imiya, A. and Fermin, I., Motion analysis by random sampling and voting process, Computer Vision and Image Understanding, 73, 1999, 309–328.
Oja, E., Xu, L., and Kultanen, P., Curve detection by an extended self-organization map and related RHT method, Proc. International Neural Network Conference, 1, 1990, 27–30.
Kälviäinen, H., Oja, E., and Xu, L., Randomized Hough transform applied to translation and rotation motion analysis, 11th IAPR Proceedings of International Conference on Pattern Recognition, 1992, 672–675.
Heikkonen, J., Recovering 3-D motion parameters from optical flow field using randomized Hough transform, Pattern Recognition Letters, 15, 1995, 971–978.
Kanatani, K., Statistical optimization and geometric inference in computer vision, Philosopical Transactions of the Royal Society of London, Series A, 356 1997, 1308–1320.
Rao, C.R. and Mitra, S.K., Generalized Inverse of Matrices and its Applications, John Wiley & Sons, New York. 1971. (Japanese Edition, Tokyo Tosho, Tokyo 1973).
Beauchemin, S.S. and Barron, J.L., The computation of optical flow, ACM Computer Surveys 26, 433–467, 1995.
Del Lungo, A., Nivat, M, Pinzani, R., Sorri, L., The medians of discrete sets, Information Processing Letters, 65, 283–299, 1998
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© 2001 Springer-Verlag Berlin Heidelberg
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Imiya, A., Iwawaki, K. (2001). Statistics of Flow Vectors and Its Application to the Voting Method for the Detection of Flow Fields. In: Perner, P. (eds) Machine Learning and Data Mining in Pattern Recognition. MLDM 2001. Lecture Notes in Computer Science(), vol 2123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44596-X_24
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DOI: https://doi.org/10.1007/3-540-44596-X_24
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Online ISBN: 978-3-540-44596-8
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