The attenuation of x-rays in a material forms the basis of x-ray radiography and tomography. By measuring the transmission of the x-rays over a large amount of raypaths, the three-dimensional (3D) distribution of the x-ray linear attenuation coefficient can be reconstructed in a 3D volume. In x-ray microtomography (μCT), however, the x-ray refraction yields a significant signal in the transmission image and the 3D distribution of the refractive index can be reconstructed in a 3D volume. To do so, several methods exist, on both a hardware and software level. In this paper, we compare two similar software methods, the modified Bronnikov algorithm and the simultaneous phase-and-amplitude retrieval. The first method assumes a pure phase object, whereas the latter assumes a homogeneous object. Although these assumptions seem very restrictive, both methods have proven to yield good results on experimental data.
© 2012 Optical Society of America
Original Manuscript: August 3, 2012
Revised Manuscript: October 26, 2012
Manuscript Accepted: October 28, 2012
Published: November 28, 2012
Vol. 8, Iss. 1 Virtual Journal for Biomedical Optics
Matthieu N. Boone, Wouter Devulder, Manuel Dierick, Loes Brabant, Elin Pauwels, and Luc Van Hoorebeke, "Comparison of two single-image phase-retrieval algorithms for in-line x-ray phase-contrast imaging," J. Opt. Soc. Am. A 29, 2667-2672 (2012)