Comparison of different phase retrieval algorithms

X-ray phase contrast imaging is attracting more and more interest. Since the phase cannot be measured directly an indirect method using e.g. a grating interferometer has to be applied. This contribution compares three different approaches to calculate the phase from Talbot-Lau interferometer measurements using a phase-stepping approach. Besides the usually applied Fourier coefficient method also a linear fitting technique and Taylor series expansion method are applied and compared.

[1]  Bert Müller,et al.  Grating-based tomography applications in biomedical engineering , 2017, Optical Engineering + Applications.

[2]  O. Bunk,et al.  Phase retrieval and differential phase-contrast imaging with low-brilliance X-ray sources , 2006 .

[3]  Bert Müller,et al.  Single and double grating-based X-ray microtomography using synchrotron radiation , 2017 .

[4]  Fei Yang,et al.  Advancing the visualization of pure water transport in porous materials by fast, talbot interferometry-based multi-contrast x-ray micro-tomography , 2016, Optical Engineering + Applications.

[5]  E. Stern,et al.  Signal processing considerations for liquid ionization calorimeters in a high rate environment , 1994 .

[6]  R. Speller,et al.  A coded-aperture technique allowing x-ray phase contrast imaging with conventional sources , 2007 .

[7]  Rainer Raupach,et al.  Analytical evaluation of the signal and noise propagation in x-ray differential phase-contrast computed tomography , 2011, Physics in medicine and biology.

[8]  Atsushi Momose,et al.  Recent advance in grating-based x-ray phase tomography , 2017, Optical Engineering + Applications.

[9]  R. Kaufmann,et al.  Noise analysis of grating-based x-ray differential phase contrast imaging. , 2010, The Review of scientific instruments.

[10]  Atsushi Momose,et al.  X-ray Phase Imaging Using Lau Effect , 2011 .

[11]  Peter Modregger,et al.  Fast and low-dose phase contrast CT with non-microfocal laboratory x-ray sources (Conference Presentation) , 2017 .

[12]  Kenneth Levenberg.  A METHOD FOR THE SOLUTION OF CERTAIN NON – LINEAR PROBLEMS IN LEAST SQUARES , 1944 .

[13]  J. Herzen,et al.  High-resolution grating interferometer for phase-contrast imaging at PETRA III , 2017, Optical Engineering + Applications.