Fast three‐dimensional phase retrieval in propagation‐based X‐ray tomography. (2nd April 2019)

• Record Type: Journal Article
• Authors: Thompson, Darren A.; Nesterets, Yakov I.; Pavlov, Konstantin M.; Gureyev, Timur E.
• Is Part Of: Journal of synchrotron radiation. Volume 26:Part 3(2019)
• Page Start: 825
• Page End: 838
• Publication Date: 2019-04-02
• Subjects: phase contrast -- computed tomography -- reconstruction -- X‐ray imaging; Synchrotron radiation -- Periodicals; Free electron lasers -- Periodicals; 539.73505
• DOI: 10.1107/S1600577519002133
• Languages: English
• ISSNs: 0909-0495

Abstract

Abstract : A method for fast three‐dimensional reconstruction of multi‐material objects based on propagation‐based X‐ray phase‐contrast tomography with phase retrieval using the homogeneous form of the transport of intensity equation is presented. Abstract : The following article describes a method for 3D reconstruction of multi‐material objects based on propagation‐based X‐ray phase‐contrast tomography (PB‐CT) with phase retrieval using the homogeneous form of the transport of intensity equation (TIE‐Hom). Unlike conventional PB‐CT algorithms that perform phase retrieval of individual projections, the described post‐reconstruction phase‐retrieval method is applied in 3D to a localized region of the CT‐reconstructed volume. This work demonstrates, via numerical simulations, the accuracy and noise characteristics of the method under a variety of experimental conditions, comparing it with both conventional absorption tomography and 2D TIE‐Hom phase retrieval applied to projection images. The results indicate that the 3D post‐reconstruction method generally achieves a modest improvement in noise suppression over existing PB‐CT methods. It is also shown that potentially large computational gains over projection‐based phase retrieval for multi‐material samples are possible. In particular, constraining phase retrieval to a localized 3D region of interest reduces the overall computational cost and eliminates the need for multiple CT reconstructions and global 2D phase retrieval operations for each material within the sample.