Skip to main content
Springer Nature Link
Log in

Evaluation for Small Visual Difference Between Conforming Meshes on Strain Field

  • Regular Paper
  • Published:
Journal of Computer Science and Technology Aims and scope Submit manuscript

Abstract

This paper gives a method of quantifying small visual differences between 3D mesh models with conforming topology, based on the theory of strain fields. Strain field is a geometric quantity in elasticity which is used to describe the deformation of elastomer. In this paper we consider the 3D models as objects with elasticity. The further demonstrations are provided: the first is intended to give the reader a visual impression of how our measure works in practice; and the second is to give readers a visual impression of how our measure works in evaluating filter algorithms. Our experiments show that our difference estimates are well correlated with human perception of differences. This work has applications in the evaluation of 3D mesh watermarking, 3D mesh compression reconstruction, and 3D mesh filtering.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Agarwal P, Adi K, Prabhakaran B. Robust blind watermarking mechanism for motion data streams. In Proc. 8th Workshop on Multimedia and Security, Geneva, Switzerland, Sept. 2006, pp.230–235.

  2. Arnold M, Wolthusen D, Schmucker M. Techniques and Applications of Digital Watermarking and Content Protection. Artech House Publishers, 2003.

  3. Cox I, Miller M, Bloom J, Miller M. Digital Watermarking: Principles & Practice. Morgan Kaufman, 2002.

  4. Ohbuchi R, Masuda H, Aono M. Watermarking three-dimensional polygonal models. In Proc. ACM International Conference on Multimedia’97, Seattle, Nov. 9–13, 1997, pp.261–272.

  5. Ohbuchi R, Masuda H, Aono M. Watermarking three-dimensional polygonal models through geometric and topological modifications. IEEE J. Selected Areas in Communication, 1998, 16(4): 551–560.

    Article  Google Scholar 

  6. Ohbuchi R, Takahashi S, Miyazawa T et al. Watermarking 3D polygonal meshes in the mesh spectral domain. In Proc. Graphics Interface, Ottawa, Canada, June 7–9, 2001, pp.9–17.

  7. Sun X, Rosin P L, Martin R R, Langbein F C. Fast and effective feature-preserving mesh denoising. IEEE Trans. Visualization and Computer Graphics, 2007, 13(5): 925–938.

    Article  Google Scholar 

  8. Taubin G. A signal processing approach to fair surface design. In Proc. SIGGRAPH’95, Los Angeles, USA, August 6–11, pp.351–358.

  9. Isenburg M, Gumhold S. Out-of-core compression for gigantic polygon meshes. In Proc. SIGGRAPH’03, San Diego, USA, July 27–31, pp.935–942.

  10. Khodakovsky A, Guskov I. Compression of Normal Mesh. Geometric Modeling for Scientific Visualization. Springer-Verlag, 2004, pp.189–206.

  11. Peyre G, Mallat S. Surface compression with geometric bandelets. In Proc. SIGGRAPH’05, Los Angeles, USA, July 31–August 4, pp.601–608.

  12. Rossignac J, Szymczak A. Wrap & zip decompression of the connectivity of triangle meshes compressed with edge breaker. Computational Geometry, Theory and Applications, 1999, 14(1/3): 119–135.

    MATH  MathSciNet  Google Scholar 

  13. Watson B, Friedman A, McGaffey A. Measuring and predicting visual fidelity. In Proc. SIGGRAPH’01, Los Angeles, USA, August 12–17, 2001, pp.213–220.

  14. Lindstrom P, Turk G. Image-driven simplification. ACM Trans. Graph., 2000, 19(3): 204–241.

    Article  Google Scholar 

  15. Corsini M, Gelasca E D, Ebrahimi T, Barni M. Watermarked 3-D mesh quality assessment. IEEE Trans. Multimedia, 2007, 9(2): 247–256.

    Article  Google Scholar 

  16. Rogowitz B, Rushmeier H. Are image quality metrics adequate to evaluate the quality of geometric objects. In Proc. SPIE Human Vis. Electron. Imag. VI, San Jose, USA, Rogowitz B E, Pappas T N (eds.), Vol.4299, 2001, pp.340–348.

  17. Aspert N, Santa-Cruz D, Ebrahimi T. Mesh: Measuring error between surfaces using the Hausdorff distance. In Proc. IEEE Int. Conf. Multimedia and Expo, Lausanne, Switzerland, August 2002, pp.705–708.

  18. Cignoni R S P, Rocchini C. Metro: Measuring error on simplified surfaces. Comput. Graph. Forum, 1998, 17(2): 167–174.

    Article  Google Scholar 

  19. Williams N, Luebke D, Cohen J D, Kelley M et al. Perceptually guided simplification of lit, textured meshes. In Proc. 2003 Symp. Interactive 3D Graphics, Monterey, Canada, Feb. 27–March 1, 2003, pp.113–121.

  20. Xun Z. Elasticity Mechanics. People’s Education Press, 1979.

  21. Wilhelm F. Tensor Analysis and Continuum Mechanics. Berlin: Springer-Verlag, 1972.

    MATH  Google Scholar 

  22. Chen W F, Salipu A F. Elasticity and Plasticity. China Architecture & Building Press, 2005.

  23. Jones T R, Durand F, Desbrun M. Non-iterative, feature-preserving mesh smoothing. ACM Trans. Graphics, 2003, 21(3): 943–949.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Computer Science and Technology, Tsinghua University, Beijing, 100084, China

    Zhe Bian & Shi-Min Hu

  2. School of Computer Science, Cardiff University, Cardiff, U.K.

    Ralph R. Martin

Authors
  1. Zhe Bian
    View author publications

    You can also search for this author inPubMed Google Scholar

  2. Shi-Min Hu
    View author publications

    You can also search for this author inPubMed Google Scholar

  3. Ralph R. Martin
    View author publications

    You can also search for this author inPubMed Google Scholar

Corresponding author

Correspondence to Zhe Bian.

Additional information

This work was supported by the National Basic Research 973 Program of China under Grant No. 2006CB303104, the National Natural Science Foundation of China under Grant No. 60673004, and an EPSRC Travel Grant.

The preliminary version of this paper and the early version for this work has been published on GMP2008.

Electronic supplementary material

Below is the link to the electronic supplementary material.

(PDF 97 kb)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bian, Z., Hu, SM. & Martin, R.R. Evaluation for Small Visual Difference Between Conforming Meshes on Strain Field. J. Comput. Sci. Technol. 24, 65–75 (2009). https://doi.org/10.1007/s11390-009-9198-3

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11390-009-9198-3

Keywords