Skip to main content

A New Boundary Preserval and Noise Removal Method Combining Gibbs Random Field with Anisotropic-Diffusion

  • Conference paper
Computational and Information Science (CIS 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3314))

Included in the following conference series:

  • 864 Accesses

Abstract

In this paper, we present a new filter model which combines Gibbs random field with anisotropic-diffusion. The Gibbs random field is used to determine the boundaries of the objects in image according to the spatial information of image. Then the anisotropic-diffusion propagates different energy at different orientation with respect to conduction coefficient, and stops diffusing at the boundaries of the objects in image. We also provide the numerical implementation of the proposed method. The numerical experimental results show that our method has a high performance.

Our work is supported by the National Natural Science Founds of China(N.o. 60072029).

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 129.00
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. Malik, J., Perona, P.: Scale-space and Edge Detection Using Anisotropic Diffusion. IEEE Trans. Pattern Anal. Machine Intell. 12(7), 629–639 (1990)

    Article  Google Scholar 

  2. Alvarez, L., Lions, P.L., Morel, J.M.: Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. SIAM J. Numer. Anal. 29(3), 845–866 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  3. Nordströn, K.N.: Biased Anisotropic Diffusion: a Unified Regularization and Diffusion Approach to Edge Detection. Image Vis. Comput. 8, 318–327 (1990)

    Article  Google Scholar 

  4. Barcelos, C.A.Z., Chen, Y.: Heat Flows and Related Minimization Problem in Image Restoration. Comput. Math. Applicat. 39, 81–97 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  5. Kuang, J., Zhu, J.: On Markov Random Field Models for Segmentation of Noisy Images. Journal of Electronics 13(1), 31–39 (1996)

    MathSciNet  Google Scholar 

  6. Scharstein, D., Szeliski, R.: Stereo Matching with Nonlinear Diffusion. Int. J. Comput. Vision. 28(2), 155–174 (1998)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Tian, G., Qi, Fh. (2004). A New Boundary Preserval and Noise Removal Method Combining Gibbs Random Field with Anisotropic-Diffusion. In: Zhang, J., He, JH., Fu, Y. (eds) Computational and Information Science. CIS 2004. Lecture Notes in Computer Science, vol 3314. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30497-5_50

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-30497-5_50

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24127-0

  • Online ISBN: 978-3-540-30497-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics