Skip to main content

The Rendering of Unstructured Grids Revisited

  • Conference paper
Data Visualization 2001

Part of the book series: Eurographics ((EUROGRAPH))

Abstract

In this paper we propose a technique for resampling scalar fields given on unstructured tetrahedral grids. This technique takes advantage of hardware accelerated polygon rendering and 2D texture mapping and thus avoids any sorting of the tetrahedral elements. Using this technique, we have built a visualization tool that enables us to either resample the data onto arbitrarily sized Cartesian grids, or to directly render the data on a slice-by-slice basis. Since our approach does not rely on any pre-processing of the data, it can be utilized efficiently for the display of time-dependent unstructured grids where geometry as well as topology change over time.

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. P. Cignoni, C. Montani, D. Sarti, and R. Scopigno. On the optimization of projective volume rendering. In EG Workshop, Scientific Visualization in Scientific Computing, pages 59–71, 1995.

    Google Scholar 

  2. J. Comba, J. Klosowski, N. Max, J. Mitchell, C. Silva, and P. Williams. Fast polyhedral cell sorting for interactive rendering of unstructured grids. In Computer Graphics Forum (Proc. EUROGRAPHICS’ 99), pages 369–376, 1999.

    Google Scholar 

  3. C. Giertsen. Volume Visualization of Sparse Irregular Meshes. Computer Graphics and Applications, 12(2):40–48, 1992.

    Article  Google Scholar 

  4. M. Karasick, D. Lieber, L. Nackman, and V. Rajan. Visualization of three-dimensional delaunay meshes. Algorithmica, 19(1–2):114–128, 1997.

    Article  MathSciNet  Google Scholar 

  5. D. Kirk. From Multitexture to Register Combiners to Per-Pixel Shading. http://www.nvidia.com/Developer.

  6. C. Rezk-Salama, K. Engel, M. Bauer, G. Greiner, and Ertl. T. Interactive Volume Rendering on Standard PC Graphics Hardware Using Multi-Textures And Multi-Stage Rasterization. In SIGGRAPH/Eurographics Workshop on Graphics Hardware, pages 109–119, 2000.

    Google Scholar 

  7. S. Roettger, M. Kraus, and T. Ertl. Hardware-accelerated volume and isosurface rendering based on cell-projection. In Proceedings IEEE Visualization 2000, pages 109–116, 2000.

    Google Scholar 

  8. P. Shirley and A. Tuchman. A Polygonal Approximation to Direct Scalar Volume Rendering. ACM Computer Graphics, Proc. SIGGRAPH’ 90, 24(5):63–70, 1990.

    Article  Google Scholar 

  9. C. Silva and J. Mitchell. The Lazy Sweep Ray Casting Algorithm for Rendering Irregular Grids. Transactions on Visualization and Computer Graphics, 4(2), June 1997.

    Google Scholar 

  10. C. Silva, J. Mitchell, and A. Kaufman. Fast Rendering of Irregular Grids. In ACM Symposium on Volume Visualization’ 96, pages 15–23, 1996.

    Google Scholar 

  11. C. Silva, J. Mitchell, and P. Williams. An exact interactive time visibility ordering algorithm for polyhedral cell complexes. In Proceedings ACM/IEEE Symposium on Volume Visualization 98, pages 87–94, 1998.

    Google Scholar 

  12. C. Stein, B. Becker, and N. Max. Sorting and hardware assisted rendering for volume visualization. In ACM Symposium on Volume Visualization’ 94, pages 83–90, 1994.

    Google Scholar 

  13. R. Westermann and T. Ertl. The VSBUFFER: Visibility Ordering unstructured Volume Primitives by Polygon Drawing. In IEEE Visualization’ 97, pages 35–43, 1997.

    Google Scholar 

  14. R. Westermann and T. Ertl. Efficiently using graphics hardware in volume rendering applications. In ACM Computer Graphics (Proc. SIGGRAPH’ 98), pages 291–294, 1998.

    Google Scholar 

  15. J. Wilhelms, A. van Gelder, P. Tarantino, and J. Gibbs. Hierarchical and Parallelizable Direct Volume Rendering for Irregular and Multiple Grids. In IEEE Visualization 1996, pages 57–65, 1996.

    Google Scholar 

  16. P. Williams. Visibility Ordering Meshed Polyhedra. ACM Transactions on Graphics, 11(2):102–126, 1992.

    Article  Google Scholar 

  17. P. Williams, N. Max, and C. Stein. A high accuracy volume Tenderer for unstructured data. IEEE Transactions on Visualization and Computer Graphics, 4(1):37–54, 1998.

    Article  Google Scholar 

  18. C. Wittenbrink. Cellfast: Interactive unstructured volume rendering. In IEEE Visualization’ 99 Late Breaking Hot Topics, pages 21–24, 1999.

    Google Scholar 

  19. R. Yagel, D. Reed, A. Law, P. Shih, and N. Shareef. Hardware Assisted Volume Rendering of Unstructured Grids by Incremental Slicing. In ACM Symposium on Volume Visualization’ 96, pages 55–63, 1996.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Wien

About this paper

Cite this paper

Westermann, R. (2001). The Rendering of Unstructured Grids Revisited. In: Ebert, D.S., Favre, J.M., Peikert, R. (eds) Data Visualization 2001. Eurographics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6215-6_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-6215-6_8

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83674-3

  • Online ISBN: 978-3-7091-6215-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics