title: A reconstruction method for cone-beam differential x-ray phase-contrast computed tomography.
abstract: Most existing differential phase-contrast computed tomography (DPC-CT) approaches are based on three kinds of scanning geometries, described by parallel-beam, fan-beam and cone-beam. Due to the potential of compact imaging systems with magnified spatial resolution, cone-beam DPC-CT has attracted significant interest. In this paper, we report a reconstruction method based on a back-projection filtration (BPF) algorithm for cone-beam DPC-CT. Due to the differential nature of phase contrast projections, the algorithm restrains from differentiation of the projection data prior to back-projection, unlike BPF algorithms commonly used for absorption-based CT data. This work comprises a numerical study of the algorithm and its experimental verification using a dataset measured with a three-grating interferometer and a micro-focus x-ray tube source. Moreover, the numerical simulation and experimental results demonstrate that the proposed method can deal with several classes of truncated cone-beam datasets. We believe that this feature is of particular interest for future medical cone-beam phase-contrast CT imaging applications.
authors.affiliation: Beijing University of Aeronautics and Astronautics, 100191 Beiijng, China. fujian706@buaa.edu.cn
authors.forename: Jian
authors.initials: J
authors.lastname: Fu
authors.forename: Astrid
authors.initials: A
authors.lastname: Velroyen
authors.forename: Renbo
authors.initials: R
authors.lastname: Tan
authors.forename: Junwei
authors.initials: J
authors.lastname: Zhang
authors.forename: Liyuan
authors.initials: L
authors.lastname: Chen
authors.forename: Arne
authors.initials: A
authors.lastname: Tapfer
authors.forename: Martin
authors.initials: M
authors.lastname: Bech
authors.forename: Franz
authors.initials: F
authors.lastname: Pfeiffer
mesh_terms: D000465:Algorithms; D054893:Cone-Beam Computed Tomography / Q000379:methods*; D009716:Numerical Analysis, Computer-Assisted; D011857:Radiographic Image Interpretation, Computer-Assisted / Q000379:methods*; D014965:X-Rays