Abstract
This paper presents an automatic method for detecting the conics from an omnidirectional image and use the conics for camera calibration. The method assumes the camera system is orientated in a way that the mirror axis is orthogonal to the floor. In this way two special cases of parallel lines can be obtained: one set of lines are orthogonal to the mirror axis; and the other set is lines that are coplanar with the mirror axis. Based on these special lines’ geometric properties under central catadioptric projection, we show that automatic calibration of catadioptric from a single image can be achieved. The experiment results show that the method not only improve the accuracy of the conic fitting in the image but also provide robustness against conic occlusion and noise.
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References
Barreto, J., Araujo, H.: Direct Least Square Fitting of Paracatadioptric Line Images. In: Computer Vision and Pattern Recognition Workshop, pp. 78–87 (2003)
Kang, S.B.: Catadioptric Self-calibration. In: IEEE Conference on CVPR, pp. 201–207 (2000)
Strelow, D., Mishler, J., Koes, D., Singh, S.: Precise Omnidirectional Camera Calibration. In: IEEE Conference on CVPR, pp. 689–694 (2001)
Scaramuzza, D., Martinelli, A., Siegwart, R.: A Flexible Technique for Accurate Omnidirectional Camera Calibration and Structure from Motion. In: IEEE Conference on Computer Vision Systems (2006)
Gasparini, S., Sturm, P., Barreto, J.P.: Plane-based Calibration of Central Catadioptric Cameras. In: IEEE Conference on Computer Vision, pp. 1195–1202 (2009)
Mei, C., Rives, P.: Single View Point Omnidirectional Camera Calibration from Planar Grids. In: IEEE Conference on Robotics and Automation, pp. 3945–3950 (2007)
Micusik, B., Pajdla, T.: Para-catadioptric Camera Auto-calibration from Epipolar geometry. In: ACCV (2004)
Ying, X., Hu, Z.: Catadioptric Camera Calibration Using Geometric Invariants. IEEE Transactions on Pattern Analysis and Machine Intelligence 26, 1260–1271 (2004)
Ying, X., Zha, H.: Identical Projective Geometric Properties of Central Catadioptric Line Images and Sphere Images with Applications to Calibration. International Journal of Computer Vision 78, 89–105 (2008)
Ying, X., Zha, H.: Simultaneously Calibrating Catadioptric Camera and Detecting Line Features Using Hough Transform. In: IEEE Conference on Intelligent Robots and Systems, pp. 1343–1348 (2005)
Geyer, C., Daniilidis, K.: Catadioptric Camera Calibration. In: IEEE Conference on Computer Vision, pp. 398–404 (1999)
Barreto, J.: General Central Projection Systems, Modeling, Calibration and Visual Servoing. PhD thesis, Dept. of Electrical and computer engineering, University of Coimbra (2003)
Zhang, Z.: Parameter Estimation Techniques: A tutorial with application to conic fitting. Rapport de Recherche No. 2676, INRIA (1995)
Duan, W.: Vanishing Point Detection and Camera Calibration. PhD thesis, Dept. of Electrical and Electronic Engineering, University of Sheffield (2011)
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Duan, W., Allinson, N.M. (2011). Automatic Conic and Line Grouping for Calibration of Central Catadioptric Camera. In: Real, P., Diaz-Pernil, D., Molina-Abril, H., Berciano, A., Kropatsch, W. (eds) Computer Analysis of Images and Patterns. CAIP 2011. Lecture Notes in Computer Science, vol 6854. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23672-3_9
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DOI: https://doi.org/10.1007/978-3-642-23672-3_9
Publisher Name: Springer, Berlin, Heidelberg
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