Skip to main content

Texture Mapping on Arbitrary 3D Surfaces

  • Conference paper
Computational Science and Its Applications – ICCSA 2004 (ICCSA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3044))

Included in the following conference series:

Abstract

Texture mapping is a common technique in computer graphics to render realistic images. Our goal is to achieve a distortion-less texture mapping on arbitrary 3D surfaces. To texture 3D models, we propose a scheme to flatten 3D surfaces into a 2D parametric domain. Our method does not require the two-dimensional boundary of flattened surfaces to be stationary. It consists of three steps: 1) we find high distortion areas in a 2D parametric domain and find a cutting path over these areas, 2) we add virtual points to adaptively find the better boundary of parametric domain instead of a predefined one and 3) finally, we perform an well-known smoothing technique for better texture mapping. The proposed scheme can be efficiently solved by a linear system and it yields an interactive performance. Finally, several preliminary results are demonstrated to verify the proposed scheme.

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. Ahlfors, L.V., Sario, L.: Riemann Surfaces; Princeton University Press. Princeton University Press, Princeton (1960)

    Google Scholar 

  2. Maillot, J., Yahia, H., Verroust, A.: Interactive texture mapping. In: Proceedings of SIGGRAPH, pp. 27–34 (1993)

    Google Scholar 

  3. Sander, P., Snyder, J., Gortler, S., Hoppe, H.: Texture mapping progressive meshes. In: Proceedings of SIGGRAPH, pp. 409–416 (2001)

    Google Scholar 

  4. Eck, M., DeRose, T., Duchamp, T., Hoppe, H., Lounsbery, M., Stuetzle, W.: Multiresolution analysis of arbitrary meshes. In: Proceedings of SIGGRAPH, pp. 173–182 (1995)

    Google Scholar 

  5. Floater, M.S.: Parametrization and smooth approximation of surface triangulations. Computer Aided Geometric Design 14(3), 231–250 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  6. Hormann, K., Greiner, G.: Mips: an efficient global parameterization method. In: Curve and Surface Design: St. Malo 1999, pp. 153–162. Vanderbilt University Press (2000)

    Google Scholar 

  7. Sorkine, O., Cohen-Or, D., Goldenthal, R., Lischinski, D.: Bounded-distortion Piecewise Mesh Parameterization. In: IEEE Visualization, pp. 355–362 (2002)

    Google Scholar 

  8. Zigelman, G., Kimmel, R., Kiryati, N.: Texture mapping using surface flattening via multidimensional scaling. IEEE Transactions on Visualization and Computer Graphics 8(2), 198–207 (2002)

    Article  Google Scholar 

  9. Piponi, G., Borshukov, D.: Seamless Texture Mapping of Subdivision Surfaces by Model Pelting and Texture Blending. In: Proceedings of SIGGRAPH, pp. 471–478 (2000)

    Google Scholar 

  10. Gu, X., Gortler, S.J., Hoppe, H.: Geometry Images. In: Proceedings of SIGGRAPH, pp. 355–361 (2002)

    Google Scholar 

  11. Gotsman, C., Gu, X., Sheffer, A.: Fundamentals of Spherical Parameterization for 3D Meshes. Proceedings of SIGGRAPH, pp. 358–363 (2003)

    Google Scholar 

  12. Lee, T.-Y., Huang, P.H.: Fast and Institutive Polyhedra Morphing Using SMCC Mesh Merging Scheme. IEEE Transactions on Visualization and Computer Graphics 9(1), 85–98 (2003)

    Article  MathSciNet  Google Scholar 

  13. Sheffer, A., Sturler, E.D.: Smoothing an Overlay Grid to Minimize Linear Distortion in Texture Mapping. ACM Transactions on Graphics 21(4), 874–890 (2002)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lee, TY., Yan, SU. (2004). Texture Mapping on Arbitrary 3D Surfaces. In: Laganá, A., Gavrilova, M.L., Kumar, V., Mun, Y., Tan, C.J.K., Gervasi, O. (eds) Computational Science and Its Applications – ICCSA 2004. ICCSA 2004. Lecture Notes in Computer Science, vol 3044. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24709-8_76

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-24709-8_76

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22056-5

  • Online ISBN: 978-3-540-24709-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics