Abstract
This paper presents a novel approach to calibrate cameras that can use geometric information of parallelograms and parallepipeds simultaneously. The proposed method is a factorization based approach solving the problem linearly by decomposing a measurement matrix into parameters of cameras, parallelograms and parallepipeds. Since the two kinds of geometric constraints can complement each other in general man-made environment, the proposed method can obtain more stable estimation results than the previous approaches that can use geometric constraints only either of parallelograms or of parallelepipeds. The results of the experiments with real images are presented to demonstrate the feasibility of the proposed method.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
de la Fraga, L.G., Schutze, O.: Direct calibration by fitting of cuboids to a single image using differential evolution. Int. J. Comput. Vision 80(2), 119–127 (2009)
Hartley, R., Zisserman, A.: Multiple View Geometry in Computer Vision, 2nd edn. Cambridge University Press, Cambridge (2003)
Jacobs, D.: Linear fitting with missing data: Applications to structure from motion and to characterizing intensity images. In: Proc. IEEE International Conference on Computer Vision and Pattern Recognition, pp. 206–212, San Juan, Puerto Rico, June 1997
Jiang, N., Tan, P., Cheong, L.F.: Symmetric architecture modeling with a single image. ACM T. Graphic. (Proc. SIGGRAPH Asia) 28(5), December 2009
Kim, J.H., Koo, B.K.: Linear stratified approach using full geometric constraints for 3D scene reconstruction and camera calibration. Opt. Express 21(4), 4456–4474 (2013)
Malis, E., Cipolla, R.: Camera self-calibration from unknown planar structures enforcing the multiview constraints between collineations. IEEE Trans. Pattern Anal. Mach. Intell. 24(9), 1268–1272 (2002)
Martinec, D., Pajdla, T.: Structure from many perspective images with occlusions. In: Proc. European Conference on Computer Vision, pp. 355–369, Copenhagen, Denmark, May 2002
Pollefeys, M., Gool, L.V., Vergauwen, M., Verbiest, F., Cornelis, K., Tops, J., Koch, R.: Visual modeling with a hand-held camera. Int. J. Comput. Vision 59(3), 207–232 (2004)
Rother, C., Carlsson, S.: Linear multi view reconstruction and camera recovery using a reference plane. Int. J. Comput. Vision 49(2–3), 117–141 (2002)
Rother, C., Carlsson, S., Tell, D.: Projective factorization of planes and cameras in multiple views. In: Proc. International Conference on Pattern Recognition, pp. 737–740, Quebec, Canada, August 2002
Tomasi, C., Kanade, T.: Shape and motion from image streams under orthography: a factorization method. Int. J. Comput. Vision 9(2), 137–154 (1992)
Ueshiba, T., Tomita, F.: Plane-based calibration algorithm for multi-camera systems via factorization of homography matrices. In: Proc. IEEE International Conference on Computer Vision, pp. 966–973, Nice, France, October 2003
Wilczkowiak, M., Sturm, P., Boyer, E.: Using geometric constraints through parallelepipeds for calibration and 3D modelling. IEEE Trans. Pattern Anal. Mach. Intell. 27(2), 194–207 (2005)
Wu, F.C., Duan, F.Q., Hu, Z.Y.: An affine invariant of parallelograms and its application to camera calibration and 3D reconstruction. In: Proc. European Conference on Computer Vision, pp. 191–204, May 2006
Zelnik-Manor, L., Irani, M.: Multiview constraints on homographies. IEEE Trans. Pattern Anal. Mach. Intell. 24(2), 214–223 (2002)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Kim, JH., Choi, J.S. (2015). A Unified Camera Calibration from Arbitrary Parallelograms and Parallepipeds. In: Battiato, S., Blanc-Talon, J., Gallo, G., Philips, W., Popescu, D., Scheunders, P. (eds) Advanced Concepts for Intelligent Vision Systems. ACIVS 2015. Lecture Notes in Computer Science(), vol 9386. Springer, Cham. https://doi.org/10.1007/978-3-319-25903-1_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-25903-1_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-25902-4
Online ISBN: 978-3-319-25903-1
eBook Packages: Computer ScienceComputer Science (R0)