title: Differential phase-contrast interior tomography.
abstract: Differential phase-contrast interior tomography allows reconstruction of a refractive index distribution over a region of interest (ROI) for visualization and analysis of structures inside a large biological specimen. In the imaging mode, x-ray scanning only targets an ROI in an object and a narrow beam passes through the object, allowing a significant reduction of both radiation dose and system cost. Inspired by recently developed compressive sensing theory, in a numerical analysis framework we show that accurate interior reconstruction can be achieved on an ROI from truncated differential projection data through the ROI via the total variation minimization, assuming a piecewise constant distribution of the refractive indices in the ROI. Then, we develop a practical iterative algorithm for such an interior reconstruction and perform numerical experiments to demonstrate the feasibility of the proposed approach.
authors.affiliation: Biomedical Imaging Division, School of Biomedical Engineering and Sciences, Virginia Tech, Blacksburg, VA 24061, USA. congw@vt.edu
authors.forename: Wenxiang
authors.initials: W
authors.lastname: Cong
authors.forename: Jiangsheng
authors.initials: J
authors.lastname: Yang
authors.forename: Ge
authors.initials: G
authors.lastname: Wang
mesh_terms: D006801:Humans; D007091:Image Processing, Computer-Assisted; D019047:Phantoms, Imaging; D013902:Radiography, Thoracic; D014057:Tomography, X-Ray Computed / Q000379:methods*; D014961:X-Ray Diffraction