Abstract
Light field cameras are becoming popular in computer vision and graphics, with many research and commercial applications already having been proposed. Various types of cameras have been developed with the camera array being one of the ways of acquiring a 4D light field image using multiple cameras. Camera calibration is essential, since each application requires the correct projection and ray geometry of the light field. The calibrated parameters are used in the light field image rectified from the images captured by multiple cameras. Various camera calibration approaches have been proposed for a single camera, multiple cameras, and a moving camera. However, although these approaches can be applied to calibrating camera arrays, they are not effective in terms of accuracy and computational cost. Moreover, less attention has been paid to camera calibration of a light field camera. In this paper, we propose a calibration method for a camera array and a rectification method for generating a light field image from the captured images. We propose a two-step algorithm consisting of closed form initialization and nonlinear refinement, which extends Zhang’s well-known method to the camera array. More importantly, we introduce a rigid camera constraint whereby the array of cameras is rigidly aligned in the camera array and utilize this constraint in our calibration. Using this constraint, we obtained much faster and more accurate calibration results in the experiments.
Similar content being viewed by others
References
Levoy M, Hanrahan P. Light field rendering. In: Proceedings of the ACM Conference on Computer Graphics. 1996, 31–42
Ng R, Levoy M, Brédif M, Duval G, Horowitz M, Hanrahan P. Light Field Photography with a Hand-Held Plenoptic Camera. Computer Science Technical Report CSTR, 2005
Vaish V, Levoy M, Szeliski R, Zitnick C L, Kang S B. Reconstructing occluded surfaces using synthetic apertures: stereo, focus and robust measures. In: Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition. 2006, 2331–2338
Seitz S M, Curless B, Diebel J, Scharstein D, Szeliski R S. A comparison and evaluation of multi-view stereo reconstruction algorithms. In: Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition. 2006, 519–528
Wetzstein G, Roodnick D, Heidrich W, Raskar R. Refractive shape from light field distortion. In: Proceedings of IEEE International Conference on Computer Vision. 2011, 1180–1186
Maeno K, Nagahara H, Shimada A, Taniguchi R. Light field distortion feature for transparent object recognition. In: Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition. 2013, 2786–2793
Wilburn B, Joshi N, Vaish V, Talvala E V E, Antunez E, Barth A, Adams A, Levoy M, Horowitz M. High performance imaging using large camera arrays. ACM Transactions on Graphics, 2005, 24(3): 765–776
Zhang Z. A flexible new technique for camera calibration. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2000, 22(11): 1330–1334
Ueshiba T, Tomita F. Plane-based calibration algorithm for multicamera systems via factorization of homography matrices. In: Proceedings of IEEE International Conference on Computer Vision. 2003, 966–973
Snavely N, Seitz S M, Szeliski R. Modeling the world from internet photo collections. International Journal of Computer Vision, 2008, 80: 189–210
Bok Y, Jeon H G, Kweon I S. Geometric calibration of micro-lensbased light-field cameras using line features. In: Proceedings of European Conference on Computer Vision. 2014, 8694: 47–61
Dansereau D G, Pizarro O, Williams S B. Decoding, calibration and rectification for lenselet-based plenoptic cameras. In: Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition. 2013, 1027–1034
Cho D, Lee M, Kim S, Tai Y W. Modeling the calibration pipeline of the lytro camera for high quality light-field image reconstruction. In: Proceedings of IEEE International Conference on Computer Vision. 2013
Tsai R Y. A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses. IEEE Journal of Robotics and Automation, 1987, 3: 323–344
Vaish V, Wilburn B, Joshi N, Levoy M. Using plane + parallax for calibrating dense camera arrays. In: Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition (1). 2004, 2–9
Svoboda T, Martinec D, Pajdla T. A convenient multi-camera selfcalibration for virtual environments. PRESENCE: Teleoperators and Virtual Environments, 2005, 14(4): 407–422
Loop C, Zhang Z. Computing rectifying homographies for stereo vision. In: Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition. 1999, 125–131
Fusiello A, Trucco E, Verri A. A compact algorithm for rectification of stereo pairs. Machine Vision and Applications, 2000, 12(1): 16–22
Deng K, Wang L, Lin Z, Feng T, Deng Z. Correction and rectification of light fields. Computers & Graphics, 2003, 27(2): 169–177
Fukushima N, Yendo T, Fujii T, Tanimoto M. A novel rectification method for two-dimensional camera array by parallelizing locus of feature points. in: International Workshop on Advanced Image Technology. 2008, B5–1
Heikkila J, Silven O. A four-step camera calibration procedure with implicit image correction. In: Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition. 1997, 1106–1112
Wei G Q, Ma S D. Implicit and explicit camera calibration: Theory and experiments. IEEE Transactions of Pattern Analysis and Machine Intelligence, 1994, 16(5): 469–480
Levenberg K. A method for the solution of certain non-linear problems in least squares. Quarterly Journal of Applied Mathmatics, 1944, II(2): 164–168
Marquardt D W. An algorithm for least-squares estimation of nonlinear parameters. SIAM Journal on Applied Mathematics, 1963, 11(2): 431–441
Ihm I, Park S, Lee R K. Rendering of spherical light fields. In: Proceedings of the 5th Pacific Conference On Computer Graphics And Applications. 1997, 59–68
Georgiev T, Lumsdaine A. Focused plenoptic camera and rendering. Journal of Electronic Imaging, 2010, 19(2)
Author information
Authors and Affiliations
Corresponding author
Additional information
Yichao Xu received his BE from Beijing Electronic Science and Technology Institute, China in 2007, and his ME from University of Chinese Academy of Sciences, China in 2010. He is currently a PhD candidate at Kyushu University, Japan. His research interests are computational photography and computer vision.
Kazuki Maeno received his ME from Kyushu University, Japan in 2013. He is currently working for Panasonic System Networks Company, Limited.
Hajime Nagahara received his BE and ME in Electrical and Electronic Engineering from Yamaguchi University, Japan in 1996 and 1998, respectively, and PhD in System Engineering from Osaka University, Japan in 2001. He was a research associate of the Japan Society for the Promotion of Science between 2001 and 2003. He was an assistant professor at the Graduate School of Engineering Science, Osaka University from 2003 to 2010. He was a visiting associate professor at CREA University of Picardie Jules Verns, France in 2005. He was a visiting Researcher at Columbia University, America, from 2007 to 2008. Since 2010, he has been an associate professor in the Faculty of Information Science and Electrical Engineering at Kyushu University, Japan. Computational photography, computer vision, and virtual reality are his research areas. He received an ACM Virtual Reality Software and Technology Honorable Mention Award in 2003 and an Information Processing Society of Japan Nagao Special Researcher Award in 2012.
Rin-ichiro Taniguchi received his BE, ME, and DE from Kyushu University, Japan in 1978, 1980, and 1986, respectively. Since 1996, he has been a Professor in the Graduate School of Information Science and Electrical Engineering, Kyushu University. His current research interests include computer vision, image processing, and parallel and distributed computation of vision-related applications.
Rights and permissions
About this article
Cite this article
Xu, Y., Maeno, K., Nagahara, H. et al. Camera array calibration for light field acquisition. Front. Comput. Sci. 9, 691–702 (2015). https://doi.org/10.1007/s11704-015-4237-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11704-015-4237-4