Exact and efficient signal reconstruction in frequency-domain optical-coherence tomography

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 25, Issue 7, 2008, Pages 1762-1771

  Seelamantula, Chandra Sekhar ^a   Villiger, Martin L ^a   Leitgeb, Rainer A ^b   Unser, Michael ^a  

^a EPFL   (Switzerland)

^b MEDICAL UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

COHERENT LIGHT; DIAGNOSTIC RADIOGRAPHY; FOURIER TRANSFORMS; FREQUENCY DOMAIN ANALYSIS; MEDICAL IMAGING; REPAIR; RESTORATION; THERMOGRAPHY (TEMPERATURE MEASUREMENT); TOMOGRAPHY;

EXACT SOLUTIONS; EXPERIMENTAL MEASUREMENTS; FOURIER; FREQUENCY DOMAINS; OPTICAL-COHERENCE TOMOGRAPHY; SCATTERING FUNCTIONS;

IMAGING TECHNIQUES;

ALGORITHM; ARTICLE; COMPUTER PROGRAM; EQUIPMENT DESIGN; FOURIER ANALYSIS; IMAGE PROCESSING; INFORMATION RETRIEVAL; INFRARED SPECTROSCOPY; INTERFEROMETRY; METHODOLOGY; OPTICAL COHERENCE TOMOGRAPHY; OPTICS; RADIATION SCATTERING; SIGNAL PROCESSING; STATISTICAL MODEL; TOMOGRAPHY;

ALGORITHMS; EQUIPMENT DESIGN; FOURIER ANALYSIS; IMAGE PROCESSING, COMPUTER-ASSISTED; INFORMATION STORAGE AND RETRIEVAL; INTERFEROMETRY; MODELS, STATISTICAL; OPTICS; SCATTERING, RADIATION; SIGNAL PROCESSING, COMPUTER-ASSISTED; SOFTWARE; SPECTROSCOPY, FOURIER TRANSFORM INFRARED; TOMOGRAPHY; TOMOGRAPHY, OPTICAL COHERENCE;

EID: 51549109396     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.25.001762     Document Type: Article

References (28)

1. A. F. Fercher, C. K. Hitzenberger, G. Kamp, and S. Y. El-Zaiat, "Measurement of intraocular distances by backscattering spectral interferometry," Opt. Commun. 117, 43-48 (1995).
2. E. Wolf, "Three-dimensional structure determination of semi-transparent objects from holographic data," Opt. Commun. 1, 153-156 (1969).
3. G. Hausler and M. W. Lindner, "Coherence radar and spectral radar - new tools for dermatological analysis," J. Biomed. Opt. 3, 21-31 (1998).
4. N. A. Nassif, B. Cense, B. H. Park, M. C. Pierce, S. H. Yun, B. E. Bouma, G. J. Tearney, T. C. Chen, and J. F. de Boer, "In vivo high-resolution video-rate spectral-domain optical-coherence tomography of the human retina and optic nerve," Opt. Express 12, 367-376 (2004).
5. M. Wojtkowski, T. Bajraszewski, I. Gorczynska, P. Targowski, A. Kowalczyk, W. Wasilewski, and C. Radzewicz, "Ophthalmic imaging by spectral optical-coherence tomography," Am. J. Ophthalmol. 138, 412-419 (2004).
6. U. Schmidt-Erfurth, R. A. Leitgeb, S. Michels, B. Povazay, S. Sacu, B. Hermann, C. Ahlers, H. Sattmann, C. Scholda, A. F. Fercher, and W. Drexler, "Three-dimensional ultrahigh-resolution optical-coherence tomography of macular diseases," Invest. Ophthalmol. Visual Sci. 46, 3393-3402 (2005).
7. M. Wojtkowski, R. Leitgeb, A. Kowalczyk, T. Bajraszewski, and A. Fercher, "In vivo human retinal imaging by Fourier-domain optical-coherence tomography," J. Biomed. Opt. 7, 457-463 (2002).
8. A. F. Fercher, R. A. Leitgeb, C. K. Hitzenberger, H. Sattmann, and M. Wojtkowski, "Complex spectral interferometry OCT," Proc. SPIE 3564, 173-178 (1999).
9. M. Wojtkowski, A. Kowalczyk, R. A. Leitgeb, and A. Fercher, "Full-range complex spectral optical-coherence tomography technique in eye imaging," Opt. Lett. 27, 1415-1417 (2002).
10. Y. Yasuno, S. Makita, T. Endo, G. Aoki, H. Sumimura, M. Itoh, and T. Yatagai, "One-shot-phase-shifting Fourier-domain optical-coherence tomography by reference wavefront tilting," Opt. Express 12, 6184-6191 (2004).
11. R. A. Leitgeb, C. K. Hitzenberger, A. F. Fercher, and T. Bajraszewski, "Phase-shifting algorithm to achieve high-speed long-depth-range probing by frequency-domain optical-coherence tomography," Opt. Lett. 28, 2201-2203 (2003).
12. M. A. Choma, C. Yang, and J. A. Izatt, "Instantaneous quadrature low-coherence interferometry with 3 × 3 fiber-optic couplers," Opt. Lett. 28, 2162-2164 (2003).
13. A. H. Bachmann, R. A. Leitgeb, and T. Lasser, "Complex ultrahigh resolution Fourier-domain optical-coherence tomography," Proc. SPIE 6079, 60790 (2006).
14. A. Szkulmowska, M. Wojtkowski, I. Gorczynska, T. Bajraszewski, M. Szkulmowski, P. Targowski, A. Kowalczyk, and J. J. Kaluzny, "Coherent noise-free ophthalmic imaging by spectral optical coherence tomography," J. Phys. D 38, 2606-2611 (2005).
15. J. R. Fienup, "Phase retrieval algorithms: a comparison," Appl. Opt. 21, 2758-2769 (1982).
16. H. H. Bauschke, P. L. Combettes, and D. Luke, "Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization," J. Opt. Soc. Am. A 19, 1334-1345 (2002).
17. T. F. Quatieri, Jr. and A. V. Oppenheim, "Iterative techniques for minimum phase signal reconstruction from phase or magnitude," IEEE Trans. Acoust., Speech, Signal Process, 29, 1187-1193 (1981).
18. N. Nakajima, "Phase retrieval using the logarithmic Hilbert transform and the Fourier-series expansion," J. Opt. Soc. Am. A 5, 257-262 (1988).
19. A. Ozcan, M. J. F. Digonnet, and G. S. Kino, "Minimum-phase-function-based processing in frequency-domain optical-coherence tomography systems," J. Opt. Soc. Am. A 23, 1669-1677 (2006).
20. A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing, 2nd ed. (Prentice-Hall, 1999).
21. D. G. Childers, D. P. Skinner, and R. C. Kemerait, "The cepstrum.: a guide to processing," Proc. IEEE 65, 1428-1443 (1977).
22. B. E. Bouma and G. J. Tearney, eds., Handbook of Optical Coherence Tomography (Marcel Dekker, 2002).
23. M. Unser, "Splines: a perfect fit for signal and image processing," IEEE Signal Process. Mag. 16, 22-38 (1999).
24. R. A. Leitgeb, M. L. Villiger, A. H. Bachmann, L. Steinmann, and T. Lasser, "Extended focus depth for Fourier-domain optical-coherence tomography," Opt. Lett. 31, 2450-2452 (2006).
25. A. Rosset, J. Heuberger, and O. Ratib, "OsiriX imaging software" (2007), http://www.osirix-viewer.com/.
26. S. Chang, X. Cai, and C. Flueraru, "Image enhancement for multilayer information retrieval by using full-field optical-coherence tomography," Appl. Opt. 45, 5967-5975 (2006).
27. E. Cuche, "Numerical reconstruction of digital holograms: application to phase-contrast imaging and microscopy," Ph.D. dissertation (Ecole polytechnique fédérale de Lausanne (EPFL), 2000).
28. M. Liebling, T. Blu, and M. Unser, "Complex-wave retrieval from a single off-axis hologram," J. Opt. Soc. Am. A 27, 367-377 (2004).