A Variational Model to Remove the Multiplicative Noise in Ultrasound Images

@article{Jin2010AVM,
  title={A Variational Model to Remove the Multiplicative Noise in Ultrasound Images},
  author={Zhengmeng Jin and Xiaoping Yang},
  journal={Journal of Mathematical Imaging and Vision},
  year={2010},
  volume={39},
  pages={62-74}
}
In this paper we study a variational model to deal with the speckle noise in ultrasound images. We prove the existence and uniqueness of the minimizer for the variational problem, and derive the existence and uniqueness of weak solutions for the associated evolution equation. Furthermore, we show that the solution of the evolution equation converges weakly in BV and strongly in L 2 to the minimizer as t→∞. Finally, some numerical results illustrate the effectiveness of the proposed model for… CONTINUE READING
21 Citations
19 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 21 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 19 references

Multiplicative denoising and deblurring: theory and algorithms

  • L. Rudin, P. L. Lions, S. Osher
  • Osher, S., Paragios, N. (eds.) Geometric Level…
  • 2003
Highly Influential
4 Excerpts

Operateures Maximaux Monotone

  • H. Brezis
  • North-Holland, Amsterdam (1993) 74 J Math…
  • 2011
2 Excerpts

Analysis of a new variation model for multiplicative noise removal

  • Z. M. Jin, X. P. Yang
  • J. Math. Anal. Appl. 362, 415–426
  • 2010
1 Excerpt

Geometric Measure Theory—An Introduction

  • F. H. Lin, X. P. Yang
  • Science Press/International Press, Beijing/Boston
  • 2002
1 Excerpt

Similar Papers

Loading similar papers…