title: An algebraic iterative reconstruction technique for differential X-ray phase-contrast computed tomography.
abstract: Iterative reconstruction has a wide spectrum of proven advantages in the field of conventional X-ray absorption-based computed tomography (CT). In this paper, we report on an algebraic iterative reconstruction technique for grating-based differential phase-contrast CT (DPC-CT). Due to the differential nature of DPC-CT projections, a differential operator and a smoothing operator are added to the iterative reconstruction, compared to the one commonly used for absorption-based CT data. This work comprises a numerical study of the algorithm and its experimental verification using a dataset measured at a two-grating interferometer setup. Since the algorithm is easy to implement and allows for the extension to various regularization possibilities, we expect a significant impact of the method for improving future medical and industrial DPC-CT applications.
authors.affiliation: Research Center of Digital Radiation Imaging, Beijing University of Aeronautics and Astronautics, 100191 Beiijng, China. fujian706@buaa.edu.cn
authors.forename: Jian
authors.initials: J
authors.lastname: Fu
authors.forename: Simone
authors.initials: S
authors.lastname: Schleede
authors.forename: Renbo
authors.initials: R
authors.lastname: Tan
authors.forename: Liyuan
authors.initials: L
authors.lastname: Chen
authors.forename: Martin
authors.initials: M
authors.lastname: Bech
authors.forename: Klaus
authors.initials: K
authors.lastname: Achterhold
authors.forename: Martin
authors.initials: M
authors.lastname: Gifford
authors.forename: Rod
authors.initials: R
authors.lastname: Loewen
authors.forename: Ronald
authors.initials: R
authors.lastname: Ruth
authors.forename: Franz
authors.initials: F
authors.lastname: Pfeiffer
mesh_terms: D000465:Algorithms; D000818:Animals; D006801:Humans; D019047:Phantoms, Imaging; D011856:Radiographic Image Enhancement / Q000379:methods*; D011857:Radiographic Image Interpretation, Computer-Assisted / Q000379:methods*; D012031:Refractometry / Q000295:instrumentation / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D014057:Tomography, X-Ray Computed / Q000295:instrumentation / Q000379:methods*; D014961:X-Ray Diffraction / Q000295:instrumentation / Q000379:methods*