title: Low dose reconstruction algorithm for differential phase contrast imaging.
abstract: Differential phase contrast imaging computed tomography (DPCI-CT) is a novel x-ray inspection method to reconstruct the distribution of refraction index rather than the attenuation coefficient in weakly absorbing samples. In this paper, we propose an iterative reconstruction algorithm for DPCI-CT which benefits from the new compressed sensing theory. We first realize a differential algebraic reconstruction technique (DART) by discretizing the projection process of the differential phase contrast imaging into a linear partial derivative matrix. In this way the compressed sensing reconstruction problem of DPCI reconstruction can be transformed to a resolved problem in the transmission imaging CT. Our algorithm has the potential to reconstruct the refraction index distribution of the sample from highly undersampled projection data. Thus it can significantly reduce the dose and inspection time. The proposed algorithm has been validated by numerical simulations and actual experiments.
authors.affiliation: Department of Engineering Physics, Tsinghua University, Beijing, China. wang.zhentian@gmail.com
authors.forename: Zhentian
authors.initials: Z
authors.lastname: Wang
authors.forename: Zhifeng
authors.initials: Z
authors.lastname: Huang
authors.forename: Li
authors.initials: L
authors.lastname: Zhang
authors.forename: Zhiqiang
authors.initials: Z
authors.lastname: Chen
authors.forename: Kejun
authors.initials: K
authors.lastname: Kang
authors.forename: Hongxia
authors.initials: H
authors.lastname: Yin
authors.forename: Zhenchang
authors.initials: Z
authors.lastname: Wang
authors.forename: Stampanoni
authors.initials: S
authors.lastname: Marco
mesh_terms: D000465:Algorithms; D000818:Animals; D003198:Computer Simulation; D005123:Eye / Q000000981:diagnostic imaging; D006168:Guinea Pigs; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D019047:Phantoms, Imaging; D015203:Reproducibility of Results; D014057:Tomography, X-Ray Computed / Q000379:methods*