Abstract
In this article, the problem of blur in a panoramic image from a catadioptric camera is analyzed through the determination of the virtual image. This determination is done first with an approximative method, and second through the caustic approach. This leads us to a general caustic approach of panoramic image analysis, where equations of virtual images are given. Finally, we give some direct applications of our analysis, such as depth of field (blur) or image resolution.
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References
Baker, S., Nayar, S.K.: A theory of single-viewpoint catadioptric image formation. International Journal of Computer Vision 35, 175–196 (1999)
Baker, S., Nayar, S.K.: Single viewpoint catadioptric cameras. In: Benosman, R., Kang, S.B. (eds.) Panoramic Vision: Sensors, Theory, Applications. Springer, Heidelberg (2001)
Born, M., Wolf, E.: Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 7th edn. Cambridge University Press, Cambridge (October 1999)
Bruce, J.W., Giblin, P.J., Gibson, C.G.: On caustics of plane curves. The American Mathematical Monthly 88(9), 651–667 (1981)
Hamilton, W.R.: Theory of systems of rays. Transactions of the Royal Irish Academy 16, 69–174 (1828)
Hecht, E., Zajac, A.: Optics. Addison-Wesley, Reading (1974)
Ieng, S.H., Benosman, R.: Les surfaces caustiques par la géométrie, application aux capteurs catadioptriques. Traitement du Signal, Numéro spécial Vision Omnidirectionnelle 22(5) (2005)
Micusik, B., Pajdla, T.: Autocalibration & 3d reconstruction with non-central catadioptric cameras (2004)
Nye, J.: Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations, 1st edn. Taylor & Francis, Abington (January 1999)
Swaminathan, R., Grossberg, M., Nayar, S.K.: Caustics of catadioptric cameras. In: Proc. International Conference on Computer Vision, pp. 2–9 (2001)
Swaminathan, R., Grossberg, M.D., Nayar, S.K.: Non-single viewpoint catadioptric cameras: Geometry and analysis. International Journal of Computer Vision 66(3), 211–229 (2006)
Zhang, S., Zenou, E.: Optical approach of a hypercatadioptric system depth of field. In: 10th International Conference on Information Sciences, Signal Processing and their Applications (to appear 2010)
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Zhang, S., Zenou, E. (2010). A Caustic Approach of Panoramic Image Analysis. In: Blanc-Talon, J., Bone, D., Philips, W., Popescu, D., Scheunders, P. (eds) Advanced Concepts for Intelligent Vision Systems. ACIVS 2010. Lecture Notes in Computer Science, vol 6474. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17688-3_36
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DOI: https://doi.org/10.1007/978-3-642-17688-3_36
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17687-6
Online ISBN: 978-3-642-17688-3
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