Abstract
There are two kinds of omnidirectional cameras often used in computer vision: central catadioptric cameras and fisheye cameras. Previous literatures use different imaging models to describe them separately. A unified imaging model is however presented in this paper. The unified model in this paper can be considered as an extension of the unified imaging model for central catadioptric cameras proposed by Geyer and Daniilidis. We show that our unified model can cover some existing models for fisheye cameras and fit well for many actual fisheye cameras used in previous literatures. Under our unified model, central catadioptric cameras and fisheye cameras can be classified by the model’s characteristic parameter, and a fisheye image can be transformed into a central catadioptric one, vice versa. An important merit of our new unified model is that existing calibration methods for central catadioptric cameras can be directly applied to fisheye cameras. Furthermore, the metric calibration from single fisheye image only using projections of lines becomes possible via our unified model but the existing methods for fisheye cameras in the literatures till now are all non-metric under the same conditions. Experimental results of calibration from some central catadioptric and fisheye images confirm the validity and usefulness of our new unified model.
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References
Baker, S., Nayar, S.K.: A Theory of Catadioptric Image Formation. In: Proc. International Conference on Computer Vision, India, pp. 35–42 (1998)
Barreto, J.P., Arajo, H.: Geometric Properties of Central Catadioptric Line Images. In: Heyden, A., Sparr, G., Nielsen, M., Johansen, P. (eds.) ECCV 2002. LNCS, vol. 2353, pp. 237–251. Springer, Heidelberg (2002)
Basu, A., Licardie, S.: Alternative models for fish-eye lenses. Pattern Recognition Letters 16(4), 433–441 (1995)
Born, M., Wolf, E.: Principles of Optics. Pergamon Press, Oxford (1965)
Bräuer-Burchardt, C., Voss, K.: A new algorithm to correct fish-eye- and strong wide-angle-lens-distortion from single images. In: Proc. ICIP, pp. 225–228 (2001)
Brown, D.C.: Close range camera calibration. Photogrammetric Engineering 37(8), 855–866 (1971)
Devernay, F., Faugeras, O.: Straight Lines Have to Be Straight: Automatic Calibration and Removal of Distortion from Scenes of Structured Environments. Machine Vision and Applications 1, 14–24 (2001)
Fitzgibbon, A.: Simultaneous linear estimation of multiple view geometry and lens distortion. In: Proceedings of IEEE Conference on CVPR (2001)
Fitzgibbon, A., Pilu, M., Fisher, R.: Direct least-square fitting of ellipses. In: ICPR (1996)
Fleck, M.M.: Perspective Projection: the Wrong Imaging Model, technical report 95-01, Computer Science, University of Iowa (1995)
Geyer, C., Daniilidis, K.: Catadioptric Camera Calibration. In: ICCV, pp. 398–404 (1999)
Geyer, C., Daniilidis, K.: A Unifying Theory for Central Panoramic Systems and Practical Implications. In: Vernon, D. (ed.) ECCV 2000. C. Geyer and K. Daniilidis, vol. 1843, pp. 445–462. Springer, Heidelberg (2000)
Geyer, C., Daniilidis, K.: Paracatadioptric Camera Calibration. IEEE Transactions on Pattern Analysis and Machine Intelligence 24(5), 687–695 (2002)
Kang, S.B.: Radial distortion snakes. In: IAPR Workshop on MVA, pp. 603–606 (2000)
Micusik, B., Pajdla, T.: Estimation of Omnidirectional Camera Model from Epipolar Geometry. In: CVPR (2003)
Miyamoto, K.: Fish eye lens. Journal of Optical Society of America 54, 1060–1061 (1964)
Nayar, S.K.: Omnidirectional Vision. In: Proc. of Eight International Symposium on Robotics Research, Shonan, Japan (October 1997)
Nene, S.A., Nayar, S.K.: Stereo with mirrors. In: Proc. International Conference on Computer Vision, India, pp. 1087–1094 (1998)
Shah, S., Aggarwal, J.K.: Intrinsic Parameter Calibration Procedure for a (High Distortion) Fish-Eye Lens Camera with Distortion Model and Accuracy Estimation. Pattern Recognition 29(11), 1775–1788 (1996)
Smith, P.W., Johnson, K.B., Abidi, M.A.: Efficient Techniques for Wide-Angle Stereo Vision using Surface Projection Models. In: CVPR (1999)
Svoboda, T., Padjla, T., Hlavac, V.: Epipolar geometry for panoramic cameras. In: Burkhardt, H.-J., Neumann, B. (eds.) ECCV 1998. LNCS, vol. 1406, pp. 218–231. Springer, Heidelberg (1998)
Swaminathan, R., Nayar, S.K.: Non-Metric Calibration of Wide-Angle Lenses and Polycameras. In: PAMI, pp. 1172–1178 (2000)
Urban, M., Svoboda, T., Pajdla, T.: Transformation of Panoramic Images: from hyperbolic mirror with central projection to parabolic mirror with orthogonal projection, Technical report, The Center for Machine Perception, Czech Technical University, Prague (2000)
Xiong, Y., Turkowski, K.: Creating Image-Based VR Using a Self-Calibrating Fisheye Lens. In: Proceedings of CVPR, pp. 237–243 (1997)
Ying, X., Hu, Z.: Catadioptric Camera Calibration Using Geometric Invariants. In: International Conference on Computer Vision (ICCV 2003), Nice, France (2003)
Zhang, Z.: Parameter Estimation Techniques: A Tutorial with Application to Conic Fitting, INRIA Raport de Recherche n 2676 (October 1995)
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Ying, X., Hu, Z. (2004). Can We Consider Central Catadioptric Cameras and Fisheye Cameras within a Unified Imaging Model. In: Pajdla, T., Matas, J. (eds) Computer Vision - ECCV 2004. ECCV 2004. Lecture Notes in Computer Science, vol 3021. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24670-1_34
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