Fourier-wavelet regularization of phase retrieval in x-ray in-line phase tomography
JOSA A, Vol. 26, Issue 8, pp. 1876-1881 (2009)
http://dx.doi.org/10.1364/JOSAA.26.001876
Enhanced HTML 
Acrobat PDF (273 KB)
Abstract
Phase sensitive x-ray imaging extends standard x-ray microscopy techniques by offering up to a thousand times higher sensitivity than absorption-based techniques. If an object is illuminated with a sufficiently coherent beam, phase contrast is achieved by moving the detector downstream from the object. There is a quantitative relationship between the phase shift induced by the object and the recorded intensity. This relationship can be used to retrieve the phase shift induced by the object through the solution of an inverse problem. Since the phase shift can be considered as a projection through the 3D refractive index, the latter can be reconstructed using standard tomographic inversion techniques. However, the determination of the phase shift from the recorded intensity is an ill-posed inverse problem. We investigate the application of Fourier-wavelet regularized deconvolution (ForWaRD) to this problem. The method is evaluated using simulated and experimental data and is shown to increase the quality of reconstructions, in terms of normalized RMS error and compared with standard Tikhonov regularization, at a three times increase in computational cost.
© 2009 Optical Society of America
OCIS Codes
(100.5070) Image processing : Phase retrieval
(110.7440) Imaging systems : X-ray imaging
(180.0180) Microscopy : Microscopy
(110.7410) Imaging systems : Wavelets
ToC Category:
Image Processing
History
Original Manuscript: January 13, 2009
Revised Manuscript: June 8, 2009
Manuscript Accepted: June 24, 2009
Published: July 29, 2009
Virtual Issues
Vol. 4, Iss. 10 Virtual Journal for Biomedical Optics
Citation
Max Langer, Peter Cloetens, and Françoise Peyrin, "Fourier-wavelet regularization of phase retrieval in x-ray in-line phase tomography," J. Opt. Soc. Am. A 26, 1876-1881 (2009)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-26-8-1876
You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
Related Journal Articles 
- On x-ray phase imaging with a point source (JOSAA)
- Optical tomographic microscope for quantitative imaging of phase objects (AO)
- Noninterferometric quantitative phase imaging with soft x rays (JOSAA)
- Optical Phase Retrieval by Use of First Born- and Rytov-Type Approximations (AO)
- Mixed transfer function and transport of intensity approach for phase retrieval in the Fresnel region (OL)
Related Conference Papers
- Retinal Motion Tracking in Adaptive Optics Scanning Laser Ophthalmoscopy
- Sub-38 nm Resolution Microscopy with a Tabletop 13 nm Wavelength Laser
- Three-Dimensional Coherent X-Ray Diffractive Imaging from a Single View
- Quantitative phase from defocus
- Methods and Applications of X-ray Phase Nanotomography
« Previous Article | Next Article »
OSA is a member of 