Skip to main content

A Unified Camera Calibration from Arbitrary Parallelograms and Parallepipeds

  • Conference paper
  • First Online:
Advanced Concepts for Intelligent Vision Systems (ACIVS 2015)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 9386))

  • 2815 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 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)

    Article  Google Scholar 

  2. Hartley, R., Zisserman, A.: Multiple View Geometry in Computer Vision, 2nd edn. Cambridge University Press, Cambridge (2003)

    Google Scholar 

  3. 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

    Google Scholar 

  4. Jiang, N., Tan, P., Cheong, L.F.: Symmetric architecture modeling with a single image. ACM T. Graphic. (Proc. SIGGRAPH Asia) 28(5), December 2009

    Google Scholar 

  5. 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)

    Article  Google Scholar 

  6. 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)

    Article  Google Scholar 

  7. 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

    Google Scholar 

  8. 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)

    Article  Google Scholar 

  9. 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)

    Article  MATH  Google Scholar 

  10. 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

    Google Scholar 

  11. Tomasi, C., Kanade, T.: Shape and motion from image streams under orthography: a factorization method. Int. J. Comput. Vision 9(2), 137–154 (1992)

    Article  Google Scholar 

  12. 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

    Google Scholar 

  13. 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)

    Article  Google Scholar 

  14. 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

    Google Scholar 

  15. Zelnik-Manor, L., Irani, M.: Multiview constraints on homographies. IEEE Trans. Pattern Anal. Mach. Intell. 24(2), 214–223 (2002)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jae-Hean Kim .

Editor information

Editors and Affiliations

Rights and permissions

Reprints 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)

Publish with us

Policies and ethics