Abstract
The focus of this article is the analysis of corresponding pixel neighborhoods in two stereo pair images. A nonlinear structure present in the form of multiplicative pixel interactions is investigated with polynomial Volterra predicting model. The difference in efficiency of central pixel prediction on subsequent images is the base for quantifying uncertainty introduced with second camera offset. The main contribution of this article are experimental results and the discussion of applying implicit polynomial models based on reproducing kernel regression to the Amsterdam Library of Object Images database stereo image set.
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References
M.Z. Brown, D. Burschka, and G.D. Hager. Advances in computational stereo. IEEE Transactions on Pattern Analysis and Machine Intelligence, 25(8):993–1008, 2003.
T.J. Dodd and R.F. Harrison. Estimating volterra filters in Hilbert space. In Proc. of the IFA G Conference on Intelligent Control Systems and Signal Processing (ICONS), pages 538–543, 2003.
M. O. Franz and B. Schlkopf. A unifying view of Wiener and Volterra theory and polynomial kernel regression. Neural Computation, 18(12):3097–3118, 2006.
M.O. Franz and B. Schlkopf. Implicit wiener series for higher-order image analysis. In Advances in Neural Information Processing Systems, volume 17, pages 465–472. MIT Press, 2005.
J. M. Geusebroek, G. J. Burghouts, and A. W. M. Smeulders. The Amsterdam library of object images. International Journal of Computer Vision, 61(l):103–112, 2005.
J. Mathews and G.L. Sicuranza. Polynomial Signal Processing. Wiley, 2000.
G. Sicuranza and S. Mitra, editors. Nonlinear Image Processing. Academic Press, 2000.
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Glomb, P. (2007). Local Analysis of Stereo Image Pairs with Polynomial Series. In: Kurzynski, M., Puchala, E., Wozniak, M., Zolnierek, A. (eds) Computer Recognition Systems 2. Advances in Soft Computing, vol 45. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75175-5_15
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DOI: https://doi.org/10.1007/978-3-540-75175-5_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-75174-8
Online ISBN: 978-3-540-75175-5
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