High-pass-filtered diffraction microtomography by coherent hard x rays for cell imaging: theoretical and numerical studies of the imaging and reconstruction principles
JOSA A, Vol. 22, Issue 12, pp. 2622-2634 (2005)
http://dx.doi.org/10.1364/JOSAA.22.002622
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Abstract
This paper presents theoretical and numerical studies of diffraction tomography using hard x rays, from the viewpoint of imaging and reconstruction methods for cell imaging. The proposed system employs a single-perfect-crystal analyzer in symmetric Laue-case transmission geometry to efficiently detect the higher spatial frequency components of an object's refractive-index distribution, and to effectively suppress interference between the unperturbated wave field and the wave field diffracted by the object. This system features acquisition of a single projection by a single exposure using a simple geometry and aggressive use of diffracted x rays. We present the physical description of the imaging method using the Fourier diffraction theorem derived from the Born approximation. First, we demonstrate that the reconstruction leads to the phase-retrieval problem. We then describe a reconstruction algorithm based on the classical Gerchberg-Saxton-Fienup algorithm. Finally, we show the efficacy of this system by computer simulation. Our simulation demonstrates that the imaging system delineates microstructure 3.5 µm in diameter in a phase object 400 µm in diameter.
© 2005 Optical Society of America
OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.6950) Image processing : Tomographic image processing
(110.6960) Imaging systems : Tomography
(110.7440) Imaging systems : X-ray imaging
(340.6720) X-ray optics : Synchrotron radiation
(340.7440) X-ray optics : X-ray imaging
ToC Category:
Image Processing
Virtual Issues
Vol. 1, Iss. 1 Virtual Journal for Biomedical Optics
Citation
Tetsuya Yuasa, Hiroshi Sugiyama, Zhong Zhong, Anton Maksimenko, F. Avraham Dilmanian, Takao Akatsuka, and Masami Ando, "High-pass-filtered diffraction microtomography by coherent hard x rays for cell imaging: theoretical and numerical studies of the imaging and reconstruction principles," J. Opt. Soc. Am. A 22, 2622-2634 (2005)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-22-12-2622
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