Fourier-wavelet regularization of phase retrieval in x-ray in-line phase tomography

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

Volumn 26, Issue 8, 2009, Pages 1876-1881

  Langer, Max ^a,b,c,d   Cloetens, Peter ^a   Peyrin, Françoise ^a,b,c,d  

^a EUROPEAN SYNCHROTRON RADIATION FACILITY   (France)

^b UNIVERSITÉ DE LYON   (France)

^c UNIVERSITÉ DE LYON   (France)

^d UNIVERSITÉ DE LYON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; CHEMICAL MODEL; COMPUTER SIMULATION; FOURIER ANALYSIS; IMAGE PROCESSING; METHODOLOGY; TOMOGRAPHY;

ALGORITHMS; COMPUTER SIMULATION; FOURIER ANALYSIS; IMAGE PROCESSING, COMPUTER-ASSISTED; MODELS, CHEMICAL; TOMOGRAPHY, X-RAY;

EID: 70349912676     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.26.001876     Document Type: Article

References (18)

1. A. Momose, T. Takeda, Y. Itai, and K. Hirano, “Phase- contrast X-ray computed tomography for observing biological soft tissues,” Nat. Med. (N.Y.) 2, 473-475 (1996).
2. A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, “On the possibilities of X-ray phase contrast microimaging by coherent high-energy synchrotron radiation,” Rev. Sci. Instrum. 66, 5486-5492 (1995).
3. J. P. Guigay, “Fourier transform analysis of Fresnel diffraction patterns and in-line holograms,” Optik (Stuttgart) 46, 121-125 (1977).
4. K. Nugent, T. Gureyev, D. Cookson, D. Paganin, and Z. Barnea, “Quantitative phase imaging using hard X rays,” Phys. Rev. Lett. 77, 2961-2964 (1996).
5. P. Cloetens, W. Ludwig, J. Baruchel, D. Van Dyck, J. Van Landuyt, J. P. Guigay, and M. Schlenker, “Holotomography: Quantitative phase tomography with micrometer resolution using hard synchrotron radiation X rays,” Appl. Phys. Lett. 75, 2912-2914 (1999).
6. X. Wu and H. Liu, “A general theoretical formalism for X-ray phase contrast imaging,” J. X-Ray Sci. Technol. 11, 33-42 (2003).
7. J. P. Guigay, M. Langer, R. Boistel, and P. Cloetens, “A mixed contrast transfer and transport of intensity approach for phase retrieval in the Fresnel region,” Opt. Lett. 32, 1617-1619 (2007).
8. M. Langer, P. Cloetens, J. P. Guigay, and F. Peyrin, “Quantitative comparison of direct phase retrieval algorithms in in-line phase tomography,” Med. Phys. 35, 4556-4566 (2008).
9. R. Neelamani, H. Choi, and R. Baraniuk, “ForWaRD: Fourier-wavelet regularized deconvolution for ill- conditioned systems,” IEEE Trans. Signal Process. 52, 418-433 (2004).
10. A. N. Tikhonov and V. A. Arsenin, Solution of Ill-Posed Problems (Winston, 1977).
11. S. Zabler, P. Cloetens, J. P. Guigay, J. Baruchel, and M. Schlenker, “Optimization of phase contrast imaging using hard X rays,” Rev. Sci. Instrum. 76, 1-7 (2005).
12. D. L. Donoho and I. M. Johnstone, “Ideal spatial adaptation via wavelet shrinkage,” Biometrika 81, 425-455 (1994).
13. D. L. Donoho, “Denoising by soft-thresholding,” IEEE Trans. Inf. Theory 41, 613-627 (1995).
14. D. L. Donoho and I. M. Johnstone, “Asymptotic minimaxity of wavelet estimators with sampled data,” Stat. Sin. 9, 1-32 (1999).
15. S. Ghael, A. M. Sayed, and R. G. Baraniuk, “Improved wavelet denoising via empirical Wiener filtering,” Proc. SPIE 3169, 389-399 (1997).
16. S. Mallat, A Wavelet Tour of Signal Processing, 2nd ed. (Academic, 1999).
17. I. Daubechies, Ten Lectures on Wavelets (SIAM, 1992).
18. J.-C. Labiche, O. Maton, S. Pascarelli, M. A. Newton, G. C. Ferre, C. Curfs, G. Vaughan, A. Homs, and D. F. Carreiras, “The FReLoN camera as a versatile X-ray detector for time resolved dispersive EXAFS and diffraction studies of dynamic problems in materials science, chemistry, and catalysis,” Rev. Sci. Instrum. 091301 (2007).