Denoising optical coherence tomography using second order total generalized variation decomposition

Biomedical Signal Processing and Control

Volumn 24, Issue , 2016, Pages 120-127

  Duan, Jinming ^a   Lu, Wenqi ^b   Tench, Christopher ^c   Gottlob, Irene ^d   Proudlock, Frank ^d   Samani, Niraj Nilesh ^d   Bai, Li ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^b QINGDAO UNIVERSITY   (China)

^c UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^d UNIVERSITY OF LEICESTER   (United Kingdom)

Author keywords

Fast Fourier transform; Image decomposition; Noise removal; Optical coherence tomography; Split Bregman algorithm; Total generalised variation; Variational methods

Indexed keywords

FAST FOURIER TRANSFORMS; IMAGE TEXTURE; ITERATIVE METHODS; NOISE ABATEMENT; OPTICAL TOMOGRAPHY; SPECKLE; TEXTURES; TOMOGRAPHY;

IMAGE DECOMPOSITION; NOISE REMOVAL; SPLIT BREGMAN ALGORITHMS; TOTAL GENERALISED VARIATION; VARIATIONAL METHODS;

IMAGE DENOISING;

ALGORITHM; ARTICLE; CONTROLLED STUDY; DECOMPOSITION; DIFFUSION; FOURIER TRANSFORMATION; IMAGING; NOISE REDUCTION; NONLINEAR SYSTEM; OPTICAL COHERENCE TOMOGRAPHY; OSCILLATION; PRIORITY JOURNAL; SIGNAL NOISE RATIO;

EID: 84946606472     PISSN: 17468094     EISSN: 17468108     Source Type: Journal    
DOI: 10.1016/j.bspc.2015.09.012     Document Type: Article

References (36)

1. W. Drexler, and J.G. Fujimoto Optical Coherence Tomography: Technology and Applications 2008 Springer Science & Business Media
2. J.M. Schmitt, S.H. Xiang, and K.M. Yung Speckle in optical coherence tomography J. Biomed. Opt. 4 1 1999 95 105
3. M. Pircher, E. Go, R. Leitgeb, A.F. Fercher, Christoph K. Hitzenberger, and et al. Speckle reduction in optical coherence tomography by frequency compounding Journal of Biomedical Optics 8 3 2003 565 569
4. A.E. Desjardins, B.J. Vakoc, W.Y. Oh, S.M. Motaghiannezam, G.J. Tearney, and B.E. Bouma Angle-resolved optical coherence tomography with sequential angular selectivity for speckle reduction Opt. Express 15 10 2007 6200 6209
5. A. Nieminen, P. Heinonen, and Y. Neuvo A new class of detail-preserving filters for image processing IEEE Trans. Pattern Anal. Mach. Intell. 1 1987 74 90
6. G. Franceschetti, V. Pascazio, and G. Schirinzi Iterative homomorphic technique for speckle reduction in synthetic-aperture radar imaging J. Opt. Soc. Am. A 12 4 1995 686 694
7. J.-S. Lee Speckle analysis and smoothing of synthetic aperture radar images Comput. Graph. Image Process. 17 1 1981 24 32
8. D.T. Kuan, A.A. Sawchuk, T.C. Strand, and P. Chavel Adaptive noise smoothing filter for images with signal-dependent noise. IEEE Trans. Pattern Anal. Mach. Intell. 2 1985 165 177
9. M. Kuwahara, K. Hachimura, S. Eiho, and M. Kinoshita Processing of RI-angiocardiographic images Digital Processing of Biomedical Images 1976 Springer 187 202
10. A. Ozcan, A. Bilenca, A.E. Desjardins, B.E. Bouma, and G.J. Tearney Speckle reduction in optical coherence tomography images using digital filtering J. Opt. Soc. Am. A 24 7 2007 1901 1910
11. D.C. Adler, T.H. Ko, and J.G. Fujimoto Speckle reduction in optical coherence tomography images by use of a spatially adaptive wavelet filter Opt. Lett. 29 24 2004 2878 2880
12. M.A. Mayer, A. Borsdorf, M. Wagner, J. Hornegger, C.Y. Mardin, and R.P. Tornow Wavelet denoising of multiframe optical coherence tomography data Biomed. Opt. Express 3 3 2012 572 589
13. P. Puvanathasan, and K. Bizheva Speckle noise reduction algorithm for optical coherence tomography based on interval type II fuzzy set Opt. Express 15 24 2007 15747 15758
14. S. Chitchian, M.A. Fiddy, and N.M. Fried Denoising during optical coherence tomography of the prostate nerves via wavelet shrinkage using dual-tree complex wavelet transform J. Biomed. Opt. 14 1 2009 014031
15. Z. Jian, L. Yu, B. Rao, B.J. Tromberg, and Z. Chen Three-dimensional speckle suppression in optical coherence tomography based on the curvelet transform Opt. Express 18 2 2010 1024 1032
16. H.M. Salinas, and D. Cabrera Fernández Comparison of PDE-based nonlinear diffusion approaches for image enhancement and denoising in optical coherence tomography IEEE Trans. Med. Imaging 26 6 2007 761 771
17. D. Cabrera Fernández, H.M. Salinas, and C.A. Puliafito Automated detection of retinal layer structures on optical coherence tomography images Opt. Express 13 25 2005 10200 10216
18. J. Weickert Anisotropic Diffusion in Image Processing vol. 1 1998 Teubner Stuttgart
19. R. Bernardes, C. Maduro, P. Serranho, A. Araújo, S. Barbeiro, and J. Cunha-Vaz Improved adaptive complex diffusion despeckling filter Opt. Express 18 23 2010 24048 24059
20. P. Rodrigues, and R. Bernardes 3-D adaptive nonlinear complex-diffusion despeckling filter IEEE Trans. Med. Imaging 31 12 2012 2205 2212
21. P. Puvanathasan, and K. Bizheva Interval type-II fuzzy anisotropic diffusion algorithm for speckle noise reduction in optical coherence tomography images Opt. Express 17 2 2009 733 746
22. J. Duan, Y. Ding, Z. Pan, J. Yang, and L. Bai Second order mumford-shah model for image denoising International Conference on Image Processing (ICIP 2015) 2015
23. J. Duan, C. Tench, I. Gottlob, F. Proudlock, and L. Bai Optical coherence tomography image segmentation International Conference on Image Processing (ICIP 2015) 2015
24. L.A. Vese, and S.J. Osher Modeling textures with total variation minimization and oscillating patterns in image processing J. Sci. Comput. 19 1-3 2003 553 572
25. K. Bredies, K. Kunisch, and T. Pock Total generalized variation SIAM J. Imaging Sci. 3 3 2010 492 526
26. X.-C. Tai, J. Hahn, and G. Jason Chung A fast algorithm for Euler's elastica model using augmented Lagrangian method SIAM J. Imaging Sci. 4 1 2011 313 344
27. W. Zhu, X.-C. Tai, and T. Chan Augmented Lagrangian method for a mean curvature based image denoising model Inverse Probl. Imaging 7 4 2013 1409 1432
28. J. Duan, W. Lu, G. Wang, Z. Pan, and L. Bai Second order variational model for image decomposition using the split Bregman algorithm International Conference on Intelligence Science and Big Data Engineering 2015
29. T. Goldstein, and S. Osher The split Bregman method for L1-regularized problems SIAM J. Imaging Sci. 2 2 2009 323 343
30. J. Duan, C. Tench, I. Gottlob, F. Proudlock, and L. Bai New variational image decomposition model for simultaneously denoising and segmenting optical coherence tomography images Phys. Med. Biol. 2015 (in press)
31. J. Yang, W. Yin, Y. Zhang, and Y. Wang A fast algorithm for edge-preserving variational multichannel image restoration SIAM J. Imaging Sci. 2 2 2009 569 592
32. L.A. Zadeh Fuzzy sets Inf. Control 8 3 1965 338 353
33. M. Bashkansky, and J. Reintjes Statistics and reduction of speckle in optical coherence tomography Opt. Lett. 25 8 2000 545 547
34. L.I. Rudin, S. Osher, and E. Fatemi Nonlinear total variation based noise removal algorithms Phys. D: Nonlinear Phenom. 60 1 1992 259 268
35. J. Duan, Z. Pan, B. Zhang, W. Liu, and X.-C. Tai Fast algorithm for color texture image inpainting using the non-local CTV model J. Glob. Optim. 2015 1 24
36. J. Duan, Z. Pan, X. Yin, W. Wei, and G. Wang Some fast projection methods based on Chan-Vese model for image segmentation EURASIP J. Image Video Process. 2014 1 2014 1 16