Abstract
Camera calibration based on circle images has unparalleled advantages in many fields. However, due to the large distortion, catadioptric camera calibration from circles remains a challenging and open problem. Under central catadioptric camera, circles in a scene are projected to quartic curves on the image plane. Except for the sufficient and necessary conditions that must be satisfied by paracatadioptric circle image, the properties of the antipodal image points and the absolute conic are both very important for catadioptric camera calibration. In this paper, we study the properties of the antipodal image points on paracatadioptric circle image, that is the criterion conditions for the antipodal image points on circle image. What’s more, we show the image of the absolute conic, and derive the constraint equations about the intrinsic parameters of central catadioptric camera. Finally, we discuss on the central catadioptric camera calibration using circle images.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Baker, S., Nayer, S.: A Theory of Single-viewpoint Catadioptric Image Formation. International Journal Computer Vision 35(2), 175–196 (1999)
Geyer, C., Daniilidis, K.: Catadioptric Camera Calibration. In: International Conference on Computer Vision, vol. 1, pp. 398–404. IEEE Press, Corfu (1999)
Scaramuzza, D., Martinelli, A., Siegwart, R.: A flexible technique for accurate omnidirectional camera calibration and structure from motion. In: International Conference on Computer Vision Systems, pp. 45–52. IEEE Press, New York (2006)
Deng, X., Wu, F., Wu, Y.: An easy calibration method for central catadioptric cameras. Acta Automatica Sinica 33, 801–808 (2007)
Bastanlar, Y., Puig, L., Sturm, P., Barreto, J.: Dlt-like calibration of central catadioptric cameras. In: Workshop on Omnidirectional Vision, Camera Networks and Non-Classical Cameras. Marseille (2008)
Geyer, C., Daniilidis, K.: Paracatadioptric camera calibration. Transactions on Pattern Analysis and Machine Intelligence 24, 687–695 (2002)
Barreto, J., Araujo, H.: Geometry properties of central catadioptric line images and application in calibration. Transactions on Pattern Analysis and Machine Intelligence 27, 1327–1333 (2005)
Wu, F., Duan, F., Hu, Z., Wu, Y.: A new linear algorithm for calibrating central catadioptric cameras. Pattern Recognition 41, 3166–3172 (2008)
Duan, F., Wu, F., Zhou, M., Deng, X., Tian, Y.: Calibrating effective focal length for central catadioptric cameras using one space line. Pattern Recognition Letters 33, 646–653 (2012)
Duan, H., Li, G., Li, C., Tan, Y.: A fitting method of paracatadioptric circle image. Chinese Journal of Computers 35, 2063–2071 (2012)
Duan, H., Mei, L., Shang, Y., Hu, C.: Calibrating focal length for paracatadioptric camera from one circle iamge. In: International Conference on Computer Vision Theory and Application, pp. 56–63. INSTICC Press, Lisbon (2014)
Ying, X., Hu, Z.: Catadioptric camera calibration using geometric invariants. Transactions on Pattern Analysis and Machine Intelligence 26, 1260–1271 (2004)
Duan, H., Wu, Y.: Paracatadioptric camera calibration using sphere images. In: International Conference on Image Processing, pp. 649–652. IEEE Press, Brussels (2011)
Duan, H., Wu, Y.: A calibration method for paracatadioptric camera from sphere images. Pattern Recognition Letters 33, 677–684 (2012)
Kang, S.: Catadioptric self-calibration. In: Conference on Computer Vision and Pattern Recognition, vol. 1, pp. 201–207 (2000)
Sturm, P., Barreto, J.P.: General imaging geometry for central catadioptric cameras. In: Forsyth, D., Torr, P., Zisserman, A. (eds.) ECCV 2008, Part IV. LNCS, vol. 5305, pp. 609–622. Springer, Heidelberg (2008)
Duan, H., Wu, Y.: Unified imaging of geometric entities under catadioptric camera and camera calibration. Journal of Computer-Aided Design and Computer Graphics 23, 891–898 (2011)
Geyer, C., Daniilidis, K.: Catadioptric projective geometry. International Journal Computer Vision 45, 223–243 (2001)
Hartley, R., Zisserman, A.: Multiple View Geometry in Computer Vision. Cambridge University Press, Cambridge (2000)
Semple, J.G., Kneebone, G.T.: Algebraic Projective Geometry. Claredon Press, Oxford (1998)
Wu, F., Duan, F., Hu, Z., Wu, Y.: A new linear algorithm for calibration central catadioptric cameras. Pattern Recognition 41(10), 3166–3172 (2008)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Duan, H., Mei, L., Wang, J., Song, L., Liu, N. (2014). Properties of Central Catadioptric Circle Images and Camera Calibration. In: Miao, D., Pedrycz, W., Ślȩzak, D., Peters, G., Hu, Q., Wang, R. (eds) Rough Sets and Knowledge Technology. RSKT 2014. Lecture Notes in Computer Science(), vol 8818. Springer, Cham. https://doi.org/10.1007/978-3-319-11740-9_22
Download citation
DOI: https://doi.org/10.1007/978-3-319-11740-9_22
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-11739-3
Online ISBN: 978-3-319-11740-9
eBook Packages: Computer ScienceComputer Science (R0)