Skip to main content

Reconstructing Symmetric Curved Surfaces from a Single Image and Its Application

  • Conference paper
Interactive Technologies and Sociotechnical Systems (VSMM 2006)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4270))

Included in the following conference series:

  • 1264 Accesses

Abstract

Recent advances in single view reconstruction (SVR) have been in modeling 3D curved surfaces and automation. We extend the SVR along the first direction in several ways: (i) We study the reconstruction of curved surfaces under perspective projection rather than orthographic projection. (ii) We illustrate that the horizontally flipped image of the reflective symmetric objects is equivalent to an image photographed from another position under the simplified perspective projection. So the traditional structure from motion techniques can be used to recover the 3D feature points on them. They can be used to create the planar model of the object and be used as position constraints to generate curved surfaces. (iii) New linear constraints, such as perspective projection, are exploited to the linearly constrained quadratic optimization to finding the smoothest surface. We demonstrate these advances in reconstructing real symmetric curved surfaces and objects.

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. Prasad, M., Zisserman, A., Fitzgibbon, A.: Single View Reconstruction of Curved Surfaces. In: Proceedings of CVPR 2006 (2006)

    Google Scholar 

  2. Hoiem, D., Efros, A.A., Hebert, M.: Automatic Photo Pop-up. ACM Transactions on Graphics 24, 577–584 (2005)

    Article  Google Scholar 

  3. Horry, Y., Aniyo, K., Arai, K.: Tour into the Picture: Using a Spidery Mesh Interface to Make Animation from a Single Image. In: Proceedings of SIGGRAP 1997, pp. 225–232 (1997)

    Google Scholar 

  4. Criminisi, A., Reid, I., Zisserman, A.: Single view metrology. International Journal of Computer Vision 40, 123–148 (2000)

    Article  MATH  Google Scholar 

  5. Sturm, P., Maybank, S.J.: A method for interactive 3D reconstruction of piecewise planar objects from single images. In: Proceedings of BMVC (1999)

    Google Scholar 

  6. Colombo, C., Bimbo, A.D., Pernici, F.: Metric 3D reconstruction and texture acquisition of surfaces of revolution from a single uncalibrated view. Pattern Analysis and Machine Intelligence 27, 99–114 (2005)

    Article  Google Scholar 

  7. Zhang, L., Dugas-Phocion, G., Samson, J.S., Seitz, S.M.: Single view modeling of free-form scenes. In: Proceedings of CVPR, pp. 990–997 (2001)

    Google Scholar 

  8. Prasad, M., Fitzgibbon, A.W., Zisserman, A.: Fast and controllable 3D modelling from silhouette. In: Proceedings of Eurographics (2005)

    Google Scholar 

  9. Hong, W., Yang, A.Y., Huang, K., Ma, Y.: On Symmetry and Multiple-View Geometry: Structure, Pose, and Calibration from a Single Image. International Journal of Computer Vision 60, 241–265 (2004)

    Article  Google Scholar 

  10. Cipolla, R., Drummond, T., Robertson, D.: Camera calibration from vanishing points in images of architectural scenes. In: Proceedings of BMVC, pp. 382–391 (1999)

    Google Scholar 

  11. Liu, P., Shi, J., Sun, X.: Reconstruction of Architecture Model by Planar Surfaces. Journal of CAD & CG 16, 1045–1050 (2004) (in Chinese)

    Google Scholar 

  12. Bougnoux, S.: From projective to euclidean space under any practical situation A criticism of self-calibration. In: Proceedings of ICCV, pp. 790–796 (1998)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zeng, J., Zhang, Y., Zhan, S., Liu, C. (2006). Reconstructing Symmetric Curved Surfaces from a Single Image and Its Application. In: Zha, H., Pan, Z., Thwaites, H., Addison, A.C., Forte, M. (eds) Interactive Technologies and Sociotechnical Systems. VSMM 2006. Lecture Notes in Computer Science, vol 4270. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11890881_23

Download citation

  • DOI: https://doi.org/10.1007/11890881_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-46304-7

  • Online ISBN: 978-3-540-46305-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics