Skip to main content

Two Novel Image Filters Based on Canonical Piecewise Linear Networks

  • Conference paper
Advances in Neural Networks – ISNN 2005 (ISNN 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3497))

Included in the following conference series:

Abstract

Although many filters have been proposed,image denoising is still worth further studying. In this paper, two novel image filters based on canonical piecewise linear networks are presented. They have the advantages of both linear filters and nonlinear filters. The former filter removes noises through the estimation of local structure, while the latter one accomplishes that by approximating the mapping from degraded images to clear images. They can remove noises effectively and preserve the details well. Finally, simulation results are shown to support their effectiveness.

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

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. Chua, L.O., Kang, S.M.: Section-wise Piecewise-linear Functions: Canonical Representation, Properties, and Applications. IEEE Trans. Circuits Systems 30, 125–140 (1977)

    Article  Google Scholar 

  2. Lin, J., Unbehauen, R.: Canonical Piece-wise Linear Networks. IEEE Trans. Neural Networks 6, 43–50 (1995)

    Article  Google Scholar 

  3. Storace, M., Julian, P., Parodi, M.: Synthesis of Nonlinear Multiport Resistors: A Pwl Approach. IEEE Trans. Circuits Systems 49, 1138–1149 (2002)

    Article  MathSciNet  Google Scholar 

  4. Lin, J.N., Unbehauen, R.: Adaptive Nonlinear Digital Filter with Canonical Piecewise-linear Structure. IEEE Trans. Circuits Systems 37, 347–353 (1990)

    Article  Google Scholar 

  5. Li, W., Lin, J.N., Unbehauen, R.: Unification of Order-statistics Based Filters to Piecewise-linear Filters. IEEE Trans. Circuits Systems 46, 1397–1403 (1999)

    Article  MATH  Google Scholar 

  6. Breiman, L.: Hinging Hyperplanes for Regression, Classification, and Function Approximation. IEEE Trans. Information Theory 39, 999–1013 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  7. Action, S.T., Bovik, A.C.: Nonlinear Image Estimation Using Piecewise and Local Image Models. IEEE Trans. Image Processing 7, 979–991 (1998)

    Article  Google Scholar 

  8. Julian, P., Dogaru, R., Chua, L.O.: A Piecewise-linear Simplicial Coupling Cell For CNN Gray-level Image Processing. IEEE Trans. Circuits Systems 49, 904–913 (2002)

    Article  Google Scholar 

  9. Hsmza, A.B., Krim, H.: Image Denoising: A Nonlinear Robust Statistical Approach. IEEE Trans. Signal Processing 49, 3045–3053 (2001)

    Article  Google Scholar 

  10. Elad, M.: On the Origin of the Bilateral Filter and Ways to Improve It. IEEE Trans. Image processing 11, 1141–1151 (2002)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Sun, X., Wang, S., Wang, Y. (2005). Two Novel Image Filters Based on Canonical Piecewise Linear Networks. In: Wang, J., Liao, XF., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3497. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427445_111

Download citation

  • DOI: https://doi.org/10.1007/11427445_111

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25913-8

  • Online ISBN: 978-3-540-32067-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics