Skip to main content
SpringerLink
Log in

Monoscale Dual Ridgelet Frame

  • Conference paper
Image Analysis and Recognition (ICIAR 2005)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 3656))

Included in the following conference series:

  • 1277 Accesses

Abstract

A new system—Monoscale Dual Ridgelet Frame (MDRF) is constructed in this paper, which can be viewed as a generalized version of Monoscale Ridgelet introduced by Candes. The MDRT takes the Dual Ridgelet Frame as its basic component. We show that localizing the Dual Ridgelet Frame into small squares, dyadic partition of [0, 1]2, constitutes a dual frame in L 2[0,1]2 again. As an example, the high performance of the MDRF for image denoising is demonstrated experimentally.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 149.00
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. Candès, E.J.: Harmonic Analysis of Neural Netwoks. Appl. Comput. Harmon. Anal. 6, 197–218 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  2. Candès, E.J.: On the Representation of Mutilated Sobolev Functions. SIAM J. Math. Anal. 1, 2495–2509 (1999)

    Google Scholar 

  3. Donoho, L.: Orthonormal Ridgelet and Straight Singularities. SIAM J. Math Anal. 31, 1062–1099 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  4. Flesia, G., Hel-Or, H., Averbuch, A., Candès, E.J., Coifman, R.R., Donoho, D.L.: Digital Implementation of Ridgelet Packets. In: Stoeckler, J., Welland, G.V. (eds.) Beyond Wavelets, pp. 31–60. Academic Press, London (2003)

    Chapter  Google Scholar 

  5. Shan, T., Jiao, L.C., Feng, X.C.: Ridgelet Frame. In: Proceedings of. Int. Conf. Image Analysis and Recognition. In: Campilho, A., Kamel, M. (eds.) ICIAR 2004. LNCS, vol. 3211, pp. 479–486. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  6. Shan, T., Zhang, X.R., Jiao, L.C.: Dual Ridgelet Frame Constructed Using Biorthonormal Wavelet Basis. In: Proceedings of IEEE International Conference on Acoustics, Speech, and Signal, Philadelphia, PA, USA (March 2005) (To appear)

    Google Scholar 

  7. Candès, E.J.: Monoscale Ridgelet for the Representation of Images with Edges. Dept. Statist., Stanford Univ., Stanford, CA, Tech. Rep. (1999)

    Google Scholar 

  8. Deans, S.R.: The Radon Transform and Some of Its Applications. Wiley, New York (1983)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. National Key Lab for Radar Signal Processing and Institute of Intelligent, Information Processing, Xidian University, Xi’an, 710071, China

    Tan Shan & Licheng Jiao

Authors
  1. Tan Shan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Licheng Jiao
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Electrical and Computer Engineering Department, University of Waterloo,  

    Mohamed Kamel

  2. FEUP - Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, P.O. Box, 4200-465, Porto, Portugal

    Aurélio Campilho

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Shan, T., Jiao, L. (2005). Monoscale Dual Ridgelet Frame. In: Kamel, M., Campilho, A. (eds) Image Analysis and Recognition. ICIAR 2005. Lecture Notes in Computer Science, vol 3656. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11559573_33

Download citation

  • DOI: https://doi.org/10.1007/11559573_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29069-8

  • Online ISBN: 978-3-540-31938-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation