Abstract
This paper focuses on variational optical flow computation for spherical images. It is said that some insects recognise the world through optical flow observed by their compound eyes, which observe spherical views. Furthermore, images observed through a catadioptric system with a conic mirror and a fish-eye-lens camera are transformed to images on the sphere. Spherical motion field on the spherical retina has some advantages for the ego-motion estimation of autonomous mobile observer. We provide a framework for motion field analysis on the spherical retina using variational method for image analysis.
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Neuman, T.R.: Modeling insect compound eyes: Space-vriant spherica vision. In: Bülthoff, H.H., Lee, S.-W., Poggio, T.A., Wallraven, C. (eds.) BMCV 2002. LNCS, vol. 2525, pp. 360–367. Springer, Heidelberg (2002)
Dahmen, H.-J., Franz, M.O., Krapp, H.G.: Extracting egmotion from optical flow: Limits of accuracy and nural matched filters. In: Zanker, J.M., Zeil, J. (eds.) Motion Vision-Computational Neural, and Ecological Constraints, pp. 143–168. Springer, Heidelberg (2001)
Nelson, R.C., Aloimonos, J.: Finding motion parameters from spherical flow fields (or the advantage of having eyes in the back of your head). Biological Cybernetics 58, 261–273 (1988)
Fermüller, C., Aloimonos, J.: Ambiguity in structure from motion: sphere versus plane. IJCV 28, 137–154 (1998)
Horn, B.K.P., Schunck, B.G.: Determining optical flow. Artificial Intelligence 17, 185–204 (1981)
Nagel, H.-H.: On the estimation of optical flow:Relations between different approaches and some new results. Artificial Intelligence 33, 299–324 (1987)
Barron, J.L., Fleet, D.J., Beauchemin, S.S.: Performance of optical flow techniques. International Journal of Computer Vision 12, 43–77 (1994)
Morel, J.-M., Solimini, S.: Variational Methods in Image Segmentation. Rirkhaäuser (1995)
Aubert, G., Kornprobst, P.: Mathematical Problems in Image Processing: Partial Differencial Equations and the Calculus of Variations. Springer, Heidelberg (2002)
Sapiro, G.: Geometric Partial Differencial Equations and Image Analysis. Cambridge University Press, Cambridge (2001)
Osher, S., Paragios, N. (eds.): Geometric Level Set Methods in Imaging, Vision, and Graphics. Springer, Heidelberg (2003)
Benosman, R., Kang, S.-B. (eds.): Panoramic Vision, Sensor, Theory, and Applications. Springer, New York (2001)
Baker, S., Nayer, S.: A theory of single-viewpoint catadioptric image formation. International Journal of Computer Vision 35, 175–196 (1999)
Geyer, C., Daniilidis, K.: Catadioptric projective geometry. International Journal of Computer Vision 45, 223–243 (2001)
Svoboda, T., Pajdla, T.: Epipolar geometry for central catadioptric cameras. International Journal of Computer Vision 49, 23–37 (2002)
Imiya, A., Torii, A., Sugaya, H.: Optical flow computation of omni-directional images (submitted)
Imiya, A., Iwawaki, K.: Voting method for subpixel flow detection. Pattern Recognition Letters 24, 197–214 (2003)
Zdunkowski, W., Bott, A.: Dynamics of the Atmosphere. Cambridge University Press, Cambridge (2003)
Freeden, W., Schreiner, M., Franke, R.: A survey on spherical spline approximation. Surveys on Mathematics for Industry 7 (1997)
Randol, D., et al.: Climate modeling with spherical geodesic grids. IEEE Computing in Science and Engineering 4, 32–41 (2002)
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Torii, A., Imiya, A., Sugaya, H., Mochizuki, Y. (2005). Optical Flow Computation for Compound Eyes: Variational Analysis of Omni-Directional Views. In: De Gregorio, M., Di Maio, V., Frucci, M., Musio, C. (eds) Brain, Vision, and Artificial Intelligence. BVAI 2005. Lecture Notes in Computer Science, vol 3704. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11565123_51
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DOI: https://doi.org/10.1007/11565123_51
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29282-1
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