Abstract

We study noise reduction using modified compressive sensing optical coherence tomography. We show that averaged modified compressed sensing (CS) reconstruction achieves better image quality in terms of signal-to-noise ratio, local contrast, and contrast-to-noise ratio, compared to the classical averaging method while reducing the total amount of data required to reconstruct the images. The same is also true when compared with standard CS-based averaging method with the same amount of undersampled data.

© 2012 Optical Society of America

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  1. W. Drexler and J. G. Fujimoto, Optical Coherence Tomography: Techonology and Applications (Springer, 2008).
  2. A. F. Fercher, W. Drexler, C. K. Hitzenberger, and T. Lasser, Rep. Prog. Phys. 66, 239 (2003).
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    [CrossRef]
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  8. D. L. Donoho, IEEE Trans. Inf. Theory 52, 1289 (2006).
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    [CrossRef]
  10. N. Mohan, I. Stojanovic, W. C. Karl, B. E. A. Saleh, and M. C. Teich, Proc. SPIE 7570, 75700L (2010).
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  14. M. Lusting, D. Donoho, and J. M. Pauly, Magn. Reson. Med. 58, 1182 (2007).
    [CrossRef]
  15. N. Vaswani and W. Lu, IEEE Trans. Sig. Process. 58, 4595 (2010).
    [CrossRef]
  16. W. Lu and N. Vaswani, in Processing IEEE International Conference on Acoustics, Speech, Signal Process (2010), pp. 3926–3929.
  17. J. Yang, Y. Yang, and W. Yin, yall1.blogs.rice.edu (2011).

2012 (2)

2011 (1)

2010 (4)

E. Lebed, P. J. Mackenzie, M. V. Sarunic, and F. M. Beg, Opt. Express 18, 21003 (2010).
[CrossRef]

X. Liu and J. U. Kang, Opt. Express 18, 22010 (2010).
[CrossRef]

N. Mohan, I. Stojanovic, W. C. Karl, B. E. A. Saleh, and M. C. Teich, Proc. SPIE 7570, 75700L (2010).

N. Vaswani and W. Lu, IEEE Trans. Sig. Process. 58, 4595 (2010).
[CrossRef]

2007 (1)

M. Lusting, D. Donoho, and J. M. Pauly, Magn. Reson. Med. 58, 1182 (2007).
[CrossRef]

2006 (3)

E. J. Candes and T. Tao, IEEE Trans. Inf. Theory 52, 5406 (2006).
[CrossRef]

D. L. Donoho, IEEE Trans. Inf. Theory 52, 1289 (2006).
[CrossRef]

E. J. Candes, J. Romberg, and T. Tao, IEEE Trans. Inf. Theory 52, 489 (2006).
[CrossRef]

2005 (1)

B. Sander, M. Larsen, and L. Thrane, Br. J. Ophthalmol. 89, 207 (2005).
[CrossRef]

2004 (1)

2003 (1)

A. F. Fercher, W. Drexler, C. K. Hitzenberger, and T. Lasser, Rep. Prog. Phys. 66, 239 (2003).
[CrossRef]

Adler, D. C.

Beg, F. M.

Beg, M. F.

Candes, E. J.

E. J. Candes, J. Romberg, and T. Tao, IEEE Trans. Inf. Theory 52, 489 (2006).
[CrossRef]

E. J. Candes and T. Tao, IEEE Trans. Inf. Theory 52, 5406 (2006).
[CrossRef]

Donoho, D.

M. Lusting, D. Donoho, and J. M. Pauly, Magn. Reson. Med. 58, 1182 (2007).
[CrossRef]

Donoho, D. L.

D. L. Donoho, IEEE Trans. Inf. Theory 52, 1289 (2006).
[CrossRef]

Drexler, W.

A. F. Fercher, W. Drexler, C. K. Hitzenberger, and T. Lasser, Rep. Prog. Phys. 66, 239 (2003).
[CrossRef]

W. Drexler and J. G. Fujimoto, Optical Coherence Tomography: Techonology and Applications (Springer, 2008).

Fang, L.

Farsiu, S.

Fercher, A. F.

A. F. Fercher, W. Drexler, C. K. Hitzenberger, and T. Lasser, Rep. Prog. Phys. 66, 239 (2003).
[CrossRef]

Fujimoto, J. G.

D. C. Adler, T. H. Ko, and J. G. Fujimoto, Opt. Lett. 29, 2878 (2004).
[CrossRef]

W. Drexler and J. G. Fujimoto, Optical Coherence Tomography: Techonology and Applications (Springer, 2008).

Gorcznsk, I.

Hitzenberger, C. K.

A. F. Fercher, W. Drexler, C. K. Hitzenberger, and T. Lasser, Rep. Prog. Phys. 66, 239 (2003).
[CrossRef]

Izatt, J. A.

Jian, Y.

Kang, J. U.

Karl, W. C.

N. Mohan, I. Stojanovic, W. C. Karl, B. E. A. Saleh, and M. C. Teich, Proc. SPIE 7570, 75700L (2010).

Ko, T. H.

Kowalczyk, A.

Larsen, M.

B. Sander, M. Larsen, and L. Thrane, Br. J. Ophthalmol. 89, 207 (2005).
[CrossRef]

Lasser, T.

A. F. Fercher, W. Drexler, C. K. Hitzenberger, and T. Lasser, Rep. Prog. Phys. 66, 239 (2003).
[CrossRef]

Lebed, E.

Li, S.

Liu, X.

Lu, W.

N. Vaswani and W. Lu, IEEE Trans. Sig. Process. 58, 4595 (2010).
[CrossRef]

W. Lu and N. Vaswani, in Processing IEEE International Conference on Acoustics, Speech, Signal Process (2010), pp. 3926–3929.

Lusting, M.

M. Lusting, D. Donoho, and J. M. Pauly, Magn. Reson. Med. 58, 1182 (2007).
[CrossRef]

Mackenzie, P. J.

Mohan, N.

N. Mohan, I. Stojanovic, W. C. Karl, B. E. A. Saleh, and M. C. Teich, Proc. SPIE 7570, 75700L (2010).

Nie, Q.

Pauly, J. M.

M. Lusting, D. Donoho, and J. M. Pauly, Magn. Reson. Med. 58, 1182 (2007).
[CrossRef]

Romberg, J.

E. J. Candes, J. Romberg, and T. Tao, IEEE Trans. Inf. Theory 52, 489 (2006).
[CrossRef]

Saleh, B. E. A.

N. Mohan, I. Stojanovic, W. C. Karl, B. E. A. Saleh, and M. C. Teich, Proc. SPIE 7570, 75700L (2010).

Sander, B.

B. Sander, M. Larsen, and L. Thrane, Br. J. Ophthalmol. 89, 207 (2005).
[CrossRef]

Sarunic, M. V.

Stojanovic, I.

N. Mohan, I. Stojanovic, W. C. Karl, B. E. A. Saleh, and M. C. Teich, Proc. SPIE 7570, 75700L (2010).

Sylwestrzak, M.

Szkulmowski, M.

Szlag, D.

Tao, T.

E. J. Candes, J. Romberg, and T. Tao, IEEE Trans. Inf. Theory 52, 489 (2006).
[CrossRef]

E. J. Candes and T. Tao, IEEE Trans. Inf. Theory 52, 5406 (2006).
[CrossRef]

Teich, M. C.

N. Mohan, I. Stojanovic, W. C. Karl, B. E. A. Saleh, and M. C. Teich, Proc. SPIE 7570, 75700L (2010).

Thrane, L.

B. Sander, M. Larsen, and L. Thrane, Br. J. Ophthalmol. 89, 207 (2005).
[CrossRef]

Toth, C. A.

Vaswani, N.

N. Vaswani and W. Lu, IEEE Trans. Sig. Process. 58, 4595 (2010).
[CrossRef]

W. Lu and N. Vaswani, in Processing IEEE International Conference on Acoustics, Speech, Signal Process (2010), pp. 3926–3929.

Wojtkowski, M.

Young, M.

Biomed. Opt. Express (2)

Br. J. Ophthalmol. (1)

B. Sander, M. Larsen, and L. Thrane, Br. J. Ophthalmol. 89, 207 (2005).
[CrossRef]

IEEE Trans. Inf. Theory (3)

D. L. Donoho, IEEE Trans. Inf. Theory 52, 1289 (2006).
[CrossRef]

E. J. Candes, J. Romberg, and T. Tao, IEEE Trans. Inf. Theory 52, 489 (2006).
[CrossRef]

E. J. Candes and T. Tao, IEEE Trans. Inf. Theory 52, 5406 (2006).
[CrossRef]

IEEE Trans. Sig. Process. (1)

N. Vaswani and W. Lu, IEEE Trans. Sig. Process. 58, 4595 (2010).
[CrossRef]

Magn. Reson. Med. (1)

M. Lusting, D. Donoho, and J. M. Pauly, Magn. Reson. Med. 58, 1182 (2007).
[CrossRef]

Opt. Express (3)

Opt. Lett. (1)

Proc. SPIE (1)

N. Mohan, I. Stojanovic, W. C. Karl, B. E. A. Saleh, and M. C. Teich, Proc. SPIE 7570, 75700L (2010).

Rep. Prog. Phys. (1)

A. F. Fercher, W. Drexler, C. K. Hitzenberger, and T. Lasser, Rep. Prog. Phys. 66, 239 (2003).
[CrossRef]

Other (3)

W. Drexler and J. G. Fujimoto, Optical Coherence Tomography: Techonology and Applications (Springer, 2008).

W. Lu and N. Vaswani, in Processing IEEE International Conference on Acoustics, Speech, Signal Process (2010), pp. 3926–3929.

J. Yang, Y. Yang, and W. Yin, yall1.blogs.rice.edu (2011).

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Figures (3)

Fig. 1.
Fig. 1.

Relative error for A-scans of a mirror surface.

Fig. 2.
Fig. 2.

Results of chicken fat for (a) single frame (image size 320×450), (b) classical averaging result, (c) CS-based averaging result, and (d) modified-CS-based averaging result. The scale bars represent 100 μm.

Fig. 3.
Fig. 3.

Results of polymer layer phantom imaging for (a) single frame (image size 480×250), (b) classical averaging result, (c) CS-based averaging result, and (d) modified-CS-based averaging result. (i)–(iii) are for close comparison of dash-dot rectangle regions of (b)–(d). The scale bars represent 100 μm.

Equations (5)

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minimizexWx1,s.t.Fuxy2ε,
minimizex(Wx)Tc1,s.t.Fuxy2ε.
local contrast=μoμb,
SNR=20×log10(1No(i,j)objectI(i,j)21Nb(i,j)backgroundI(i,j)2),
CNR=20×log10(μoμbσb),

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