Abstract
Homographies are widely used in tasks like camera calibration, tracking, mosaicing or motion estimation and numerous linear and non linear methods for homography estimation have been proposed in the case of classical cameras. Recently, some works have also proved the validity of homography for catadioptric cameras but only a linear estimator has been proposed. In order to improve the estimation based on correspondence features, we suggest in this article some non linear estimators for catadioptric sensors. Catadioptric camera motion estimation from a sequence of a planar scene is the proposed application for the evaluation and the comparison of these estimation methods. Experimental results with simulated and real sequences show that non linear methods are more accurate.
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Longuet-Higgins, H.C.: A computer algorithm for reconstructing a scene from two projections. Nature 293(5828), 133–135 (1981)
Hartley, R.I.: In defense of the eight-point algorithm. IEEE Trans. Pattern Anal. Mach. Intell 19(6), 580–593 (1997)
Zhang, Z.: Determining the epipolar geometry and its uncertainty: A review. Int. J. Comput. Vision 27(2), 161–195 (1998)
Tsai, R., Huang, T., Zhu, W.: Estimating 3-d motion parameters of a rigid planar patch ii: Singular value decomposition. ASSP 30(8), 525–533 (1982)
Zhang, Z.: Flexible camera calibration by viewing a plane from unknown orientations. In: IIEEE Int. Conf. on Computer Vision, pp. 666–673. IEEE Computer Society Press, Los Alamitos (1999)
Brown, M., Lowe, D.G.: Recognising panoramas. In: IEEE Int. Conf. on Computer Vision, vol. 02, pp. 1218–1225. IEEE Computer Society, Los Alamitos (2003)
Benhimane, S., Malis, E.: Homography-based 2d visual servoing. In: IEEE International Conference on Robotics and Automation, IEEE Computer Society Press, Los Alamitos (2006)
Szeliski, R., Shum, H.Y.: Creating full view panoramic image mosaics and environment maps. In: SIGGRAPH 1997: Proceedings of the 24th annual conference on Computer graphics and interactive techniques, pp. 251–258. ACM Press/Addison-Wesley Publishing Co, New York (1997)
Jain, P.K.: Homography estimation from planar contours. In: Third Int. Symp. on 3D Data Processing, Visualisation and Transmission, pp. 877–884 (2006)
Hartley, R.I., Zisserman, A.: Multiple View Geometry in Computer Vision. Cambridge University Press, Cambridge (2000)
Faugeras, O.: Three-dimensional computer vision: a geometric viewpoint. MIT Press, Cambridge (1993)
Lhuillier, M.: Automatic structure and motion using a catadioptric camera. In: Proceedings of 6th Workshop on Omnidirectional Vision OMNIVIS 2005 (2005)
Makadia, A., Geyer, C., Sastry, S., Daniilidis, K.: Radon-based structure from motion without correspondences. In: CVPR, pp. 796–803. IEEE Computer Society Press, Los Alamitos (2005)
Geyer, C., Daniilidis, K.: Mirrors in motion: Epipolar geometry and motion estimation. In: IEEE Int. Conf. on Computer Vision, pp. 766–773. IEEE Computer Society Press, Los Alamitos (2003)
Benhimane, S., Malis, E.: A new approach to vision-based robot control with omni-directional cameras. In: IEEE International Conference on Robotics and Automation, IEEE Computer Society Press, Los Alamitos (2006)
Mei, C., Benhimane, S., Malis, E., Rives, P.: Homography-based tracking for central catadioptric cameras. In: IROS (2006)
Mei, C., Rives, P.: Single view point omnidirectional camera calibration from planar grids. In: IEEE International Conference on Robotics and Automation, IEEE Computer Society Press, Los Alamitos (2007)
Barreto, J.: A unifying geometric representation for central projection systems. Comput. Vis. Image Underst. 103(3), 208–217 (2006)
Kosecka, J., Ma, Y., Sastry, S.: Optimization criteria, sensitivity and robustness of motion and structure estimation. In: ICCV 1999: Proceedings of the International Workshop on Vision Algorithms, pp. 166–182. Springer, London, UK (2000)
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Simler, C., Demonceaux, C., Vasseur, P. (2007). Proposition and Comparison of Catadioptric Homography Estimation Methods. In: Mery, D., Rueda, L. (eds) Advances in Image and Video Technology. PSIVT 2007. Lecture Notes in Computer Science, vol 4872. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77129-6_43
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DOI: https://doi.org/10.1007/978-3-540-77129-6_43
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