Skip to main content

ASSESSMENT OF IMAGE SURFACE APPROXIMATION ACCURACY GIVEN BY TRIANGULAR MESHES

  • Chapter
Computer Vision and Graphics

Part of the book series: Computational Imaging and Vision ((CIVI,volume 32))

  • 863 Accesses

Abstract

Image quality assessment plays an important role in several image processing applications, including data approximation by triangular meshes. The determination of adequate metrics is essential for constructing algorithms that generate high quality models. This paper evaluates a number of different image measures used to refine a given triangular mesh until a specified accuracy is obtained, which are more effective than traditional metrics such as the magnitude of the maximum vertical distance between pairs of corresponding points in the images. Experiments show that a considerable reduction in the triangulation size can be obtained by using more effective criteria for selecting the data points. Several metrics for evaluating the overall quality of the resulting models are also presented and compared.

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 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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. Cignoni, P., Montani, C., and Scopigno, R. (1998a). A comparison of mesh simplification algorithms. Computers and Graphics, 22(1):37–54.

    Google Scholar 

  2. Cignoni, P., Puppo, E., and Scopigno, R. (1995). Representation and visualization of terrain surfaces at variable resolution. In Scientific Visualization’95, pages 50–68.

    Google Scholar 

  3. Cignoni, P., Rocchini, C., and Scopigno, R. (1998b). Metro: Measuring error on simplified surfaces. Computer Graphics Forum, 17(2): 167–174.

    Article  Google Scholar 

  4. Cohen, J., Olano, M., and Manocha, D. (1998). Appearance-preserving simplification. In SIGGRAPH’98 Conf. Proceedings, Annual Conference Series, pages 115–122.

    Google Scholar 

  5. Garland, M. and Heckbert, P.S. (1995). Fast polygonal approximation of terrains and height fields. Technical Report CMU-CS-95-181, Carnegie Mellon University.

    Google Scholar 

  6. Garland, M. and Heckbert, P.S. (1997). Surface simplification using quadric error metrics. Computer Graphics, 31:209–216.

    Google Scholar 

  7. Heckbert, P.S. and Garland, M. (1997). Survey of polygonal surface simplification algorithms. In SIGGRAPH’97 Course Notes, 25. ACM Press.

    Google Scholar 

  8. Hoppe, H. (1996). Progressive meshes. Computer Graphics, 30:99–108.

    MathSciNet  Google Scholar 

  9. Lindstrom., P. and Turk, G. (1998). Fast and memory efficient polygonal simplification. In IEEE Visualization, pages 279–286.

    Google Scholar 

  10. Little, J.J. and Shi, P. (2003). Ordering points for incremental TIN construction from DEMs. GeoInformatica, 7(1):5–71.

    Article  Google Scholar 

  11. Schroeder, W.J., Zarge, J.A., and Lorensen, W.E. (1992). Decimation of triangle meshes. Computer Graphics, 26(2):65–70.

    Google Scholar 

  12. Snoeyink, J. and Speckmann, B. (1997). Easy triangle strips for TIN terrain models. In Ninth Canadian Conf. on Computational Geometry.

    Google Scholar 

  13. Wang, Z., Bovik, A.C., Sheikh, H.R., and Simoncelli, E.P. (2004). Image quality assessment: From error measurement to structural similarity. IEEE Transactions on Image Processing, 13(1).

    Google Scholar 

  14. Wang, Zhou and Bovik, Alan C. (2002). A universal image quality index. IEEE Signal Processing Letters, 9(3): 81–84.

    Google Scholar 

  15. Zhou Wang, Alan C. Bovik and Lu, Ligang (2002). Why is image quality assessment so difficult? In IEEE Int. Conf. on Acoustics, Speech & Signal Processing.

    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

About this chapter

Cite this chapter

Kaick, O.M.v., Pedrini, H. (2006). ASSESSMENT OF IMAGE SURFACE APPROXIMATION ACCURACY GIVEN BY TRIANGULAR MESHES. In: Wojciechowski, K., Smolka, B., Palus, H., Kozera, R., Skarbek, W., Noakes, L. (eds) Computer Vision and Graphics. Computational Imaging and Vision, vol 32. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4179-9_94

Download citation

  • DOI: https://doi.org/10.1007/1-4020-4179-9_94

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-4178-5

  • Online ISBN: 978-1-4020-4179-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics