OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 35, Iss. 17 — Sep. 1, 2010
  • pp: 2943–2945

Fourth-order oriented partial-differential equations for noise removal of two-photon fluorescence images

Yu Wang, Xiangyang Ji, and Qionghai Dai  »View Author Affiliations

Optics Letters, Vol. 35, Issue 17, pp. 2943-2945 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (361 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We derive the fourth-order oriented partial-differential equations (PDEs) for noise removal of two-photon fluorescence images. We consider it from two aspects: one is based on a variational method; the other is based on controlling the diffusion direction. Our filtering model makes the diffusion along only the special orientation—decided via all the information in the established filtering window, so the edges are protected during filtering. Compared with related PDEs models, our model shows superior performance in terms of both objective criteria and subjective human vision via processing simulated and experimental noisy images.

© 2010 Optical Society of America

OCIS Codes
(100.2000) Image processing : Digital image processing
(100.2980) Image processing : Image enhancement
(110.0180) Imaging systems : Microscopy

ToC Category:
Image Processing

Original Manuscript: March 12, 2010
Revised Manuscript: June 24, 2010
Manuscript Accepted: July 20, 2010
Published: August 25, 2010

Virtual Issues
Vol. 5, Iss. 13 Virtual Journal for Biomedical Optics

Yu Wang, Xiangyang Ji, and Qionghai Dai, "Fourth-order oriented partial-differential equations for noise removal of two-photon fluorescence images," Opt. Lett. 35, 2943-2945 (2010)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. H. M. Zhang, Q. M. Luo, and S. Q. Zeng, Proc. SPIE 6534, 65343H (2007). [CrossRef]
  2. V. Jesús, A. Q. Juan, and R. Ismael, Opt. Lett. 34, 1741 (2009). [CrossRef]
  3. H. X. Wang, K. M. Qian, W. J. Gao, F. Lin, and H. S. Seah, Opt. Lett. 34, 1141 (2009). [CrossRef] [PubMed]
  4. C. Tang, F. Zhang, B. T. Li, and H. Q. Yan, Appl. Opt. 45, 7392 (2006). [CrossRef] [PubMed]
  5. A. P. Witkin, in Proceedings of the International Joint Conferences on Artificial Intelligence (Morgan Kaufmann, 1983), pp. 1019–1021.
  6. P. Perona and J. Malik, IEEE Trans. Pattern Anal. Machine Intell. 12, 629 (1990). [CrossRef]
  7. F. Catté, P. L. Lions, J. M. Morel, and T. Coll, SIAM J. Numer. Anal. 29, 182 (1992). [CrossRef]
  8. L. Alvarez, P. L. Lions, and J. M. Morel, SIAM J. Numer. Anal. 29, 845 (1992). [CrossRef]
  9. Y. L. You and M. Kaveh, IEEE Trans. Image Process. 9, 1723 (2000). [CrossRef]
  10. X. Yang, Q. F. Yu, and S. H. Fu, Opt. Commun. 274, 286 (2007). [CrossRef]
  11. Z. Wang, C. B. Alan, H. R. Sheikh, and E. P. Simoncelli, IEEE Trans. Imag. Proc. 13, 600 (2004). [CrossRef]
  12. S. T. Li, T. K. James, and Y. N. Wang, Inf. Fusion 2, 169 (2001). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited