Skip to main content

Multiperspective Distortion Correction Using Collineations

  • Conference paper
Computer Vision – ACCV 2007 (ACCV 2007)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4843))

Included in the following conference series:

Abstract

We present a new framework for correcting multiperspective distortions using collineations. A collineation describes the transformation between the images of a camera due to changes in sampling and image plane selection. We show that image distortions in many previous models of cameras can be effectively reduced via proper collineations. To correct distortions in a specific multiperspective camera, we develop an interactive system that allows users to select feature rays from the camera and position them at the desirable pixels. Our system then computes the optimal collineation to match the projections of these rays with the corresponding pixels. Experiments demonstrate that our system robustly corrects complex distortions without acquiring the scene geometry, and the resulting images appear nearly undistorted.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Chahl, J., Srinivasan, M.: Reflective surfaces for panoramic imaging. Applied Optics 37(8), 8275–8285 (1997)

    Article  Google Scholar 

  2. Chen, S.E.: QuickTime VR – An Image-Based Approach to Virtual Environment Navigation. Computer Graphcs 29, 29–38 (1995)

    Google Scholar 

  3. Derrien, S., Konolige, K.: Approximating a single viewpoint in panoramic imaging devices. International Conference on Robotics and Automation, 3932–3939 (2000)

    Google Scholar 

  4. Gortler, S.J., Grzeszczuk, R., Szeliski, R., Cohen, M.F.: ’The Lumigraph. SIGGRAPH 1996, 43–54 (1996)

    Google Scholar 

  5. Gupta, R., Hartley, R.I.: Linear Pushbroom Cameras. IEEE Trans. Pattern Analysis and Machine Intelligence 19(9), 963–975 (1997)

    Article  Google Scholar 

  6. Nayar, S.K.: Catadioptric Omnidirectional Cameras. In: Proc. CVPR, pp. 482–488 (1997)

    Google Scholar 

  7. Pajdla, T.: Stereo with Oblique Cameras. Int’l J. Computer Vision 47(1/2/3), 161–170 (2002)

    Article  MATH  Google Scholar 

  8. Pajdla, T.: Geometry of Two-Slit Camera, Research Report CTU–CMP–2002–02, March (2002)

    Google Scholar 

  9. Seitz, S., Kim, J.: The Space of All Stereo Images. In: Proc. ICCV, pp. 26–33 (July 2001)

    Google Scholar 

  10. Shum, H., He, L.: Rendering with concentric mosaics. Computer Graphcs 33, 299–306 (1999)

    Google Scholar 

  11. Stein, G.P.: Lens distortion calibration using point correspondences. In: Proc. CVPR, pp. 143–148 ( June 1997)

    Google Scholar 

  12. Swaminathan, R., Grossberg, M.D., Nayar, S.K.: Caustics of Catadioptric Cameras. In: Proc. ICCV, pp. 2–9 (2001)

    Google Scholar 

  13. Swaminathan, R., Grossberg, M.D., Nayar, S.K.: A Perspective on Distortions. In: Proc. IEEE Computer Vision and Pattern Recognition, Wisconsin (June 2003)

    Google Scholar 

  14. Yu, J., McMillan, L.: Multiperspective Projection and Collineation. In: Sebe, N., Lew, M.S., Huang, T.S. (eds.) Computer Vision in Human-Computer Interaction. LNCS, vol. 3766, Springer, Heidelberg (2005)

    Google Scholar 

  15. Yu, J., McMillan, L.: Modelling Reflections via Multiperspective Imaging. In: Proc. IEEE Computer Vision and Pattern Recognition, San Diego (June 2005)

    Google Scholar 

  16. Zomet, A., Feldman, D., Peleg, S., Weinshall, D.: Mosaicing New Views: The Crossed-Slits Projection. IEEE Trans. on PAMI, 741–754 (2003)

    Google Scholar 

  17. Zorin, D., Barr, A.H.: Correction of Geometric Perceptual Distortions in Pictures. Computer Graphics 29, 257–264 (1995)

    Google Scholar 

  18. POV-Ray: The Persistence of Vision Raytracer, http://www.povray.org/

Download references

Author information

Authors and Affiliations

Authors

Editor information

Yasushi Yagi Sing Bing Kang In So Kweon Hongbin Zha

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ding, Y., Yu, J. (2007). Multiperspective Distortion Correction Using Collineations. In: Yagi, Y., Kang, S.B., Kweon, I.S., Zha, H. (eds) Computer Vision – ACCV 2007. ACCV 2007. Lecture Notes in Computer Science, vol 4843. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76386-4_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-76386-4_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-76385-7

  • Online ISBN: 978-3-540-76386-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics