Skip to main content

Wavelet Transform Implementation for Star-Shaped Modelling

  • Chapter
Signal Analysis and Prediction

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

  • 3785 Accesses

Abstract

We present in this paper a new mesh generation method based on wavelets. We have constructed filters associated with wavelet basis which was applied to 3D objects to obtain several levels of subdivision.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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. A. Arneodo and al. Ondelettes, multifractales et turbulence de l’ADN aux croissances cristallines. DIDEROT EDITEUR, Paris, 1995.

    Google Scholar 

  2. P. J. Burt and E. Adelson. The Laplacian pyramid as a compact image code. In Proc. Int. Conf Acoust., Speech, Signal Processing, pp. 191-195, 1977.

    Google Scholar 

  3. I. Daubechies. The Wavelet Transform. IEEE Trans. Inform. Theory, 36:961–1005, 1990.

    Article  MathSciNet  MATH  Google Scholar 

  4. M. Eck, T. DeRose, T. Duchamp, H. Hoppe, M. Lounsbery, and W. Stuetzer. Multiresolution analysis of arbitrary meshes In Proc. SIGGRAPH’95, Computer Graphics, pp. 174-182, 1995.

    Google Scholar 

  5. D. Esteban and C. Galand. Application of quadrature mirror filters to split band voice coding schemes. IEEE Trans. Comun., 31:532–540, 1983.

    Article  Google Scholar 

  6. J. P. Gourret, N. Magnenat-Thalmann, and D. Thalmann. Simulation of object and human skin deformations in a grasping task. in Proc. SIGGRAPH’89, Computer Graphics, 23(3):21–31, 1989.

    Article  Google Scholar 

  7. J. P. Gourret and J. Khamlichi. A model for compression and classification of data structures. Computers and Graphics, 20(6):863–879, 1996.

    Article  Google Scholar 

  8. S. Gortler, P. Schroder, M. Cohen, and P. Hanrahan. Wavelet radiosity. In Computer Graphics Proceedings, pp. 213-220, 1993.

    Google Scholar 

  9. M. Lounsbery et T. Derose. Multiresolution Analysis for Surfaces of Arbitrary Topological Type. ACM Transaction on Graphics, 16(1):34–73, 1997.

    Article  Google Scholar 

  10. S. Mallat. A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans. on PAMI, 11(7):674–693, 1989.

    Article  MATH  Google Scholar 

  11. H. S. Malvar. Lapped transforms for efficient transform/subband coding. IEEE Trans. Acoust., Speech, Signal Processing, 38(6):969–978, 1990.

    Article  Google Scholar 

  12. Y. Meyer. Ondelettes et algorithmes concurrents. Hermann, Paris, 1992.

    Google Scholar 

  13. A. Pentland and J. Williams. Good vibrations: modal dynamics for graphics and animation. In Proc.SIGGRAPH’89, Computer Graphics, Vol.23(3):215–222, 1989.

    Google Scholar 

  14. B. Torresani. Analyse continue par ondelettes. InterEditions/CNRS, Paris, 1995.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Science+Business Media New York

About this chapter

Cite this chapter

Doncescu, A., Gourret, JP. (1998). Wavelet Transform Implementation for Star-Shaped Modelling. In: Procházka, A., Uhlíř, J., Rayner, P.W.J., Kingsbury, N.G. (eds) Signal Analysis and Prediction. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1768-8_8

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-1768-8_8

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7273-1

  • Online ISBN: 978-1-4612-1768-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics