A local region of interest image reconstruction via filtered backprojection for fan-beam differential phase-contrast computed tomography.

Recently, x-ray differential phase contrast computed tomography (DPC-CT) has been experimentally implemented using a conventional source combined with several gratings. Images were reconstructed using a parallel-beam reconstruction formula. However, parallel-beam reconstruction formulae are not directly applicable for a large image object where the parallel-beam approximation fails. In this note, we present a new image reconstruction formula for fan-beam DPC-CT. There are two major features in this algorithm: (1) it enables the reconstruction of a local region of interest (ROI) using data acquired from an angular interval shorter than 180 degrees + fan angle and (2) it still preserves the filtered backprojection structure. Numerical simulations have been conducted to validate the image reconstruction algorithm.

[1]  U. Bonse,et al.  AN X‐RAY INTERFEROMETER WITH LONG SEPARATED INTERFERING BEAM PATHS , 1965 .

[2]  Hiroyuki Kudo,et al.  Image reconstruction from fan-beam projections on less than a short scan , 2002, Physics in medicine and biology.

[3]  M. Ando,et al.  Computed tomographic reconstruction based on x-ray refraction contrast , 2005 .

[4]  S. Wilkins,et al.  Phase-contrast imaging of weakly absorbing materials using hard X-rays , 1995, Nature.

[5]  Wei Huang,et al.  Computed tomography algorithm based on diffraction-enhanced imaging setup , 2005 .

[6]  B. L. Henke,et al.  X-Ray Interactions: Photoabsorption, Scattering, Transmission, and Reflection at E = 50-30,000 eV, Z = 1-92 , 1993 .

[7]  I. Orion,et al.  Computed tomography of x-ray index of refraction using the diffraction enhanced imaging method. , 2000, Physics in medicine and biology.

[8]  Guang-Hong Chen,et al.  A new framework of image reconstruction from fan beam projections. , 2003, Medical physics.

[9]  Atsushi Momose,et al.  Phase Tomography by X-ray Talbot Interferometry for Biological Imaging , 2006 .

[10]  Atsushi Momose,et al.  Phase–contrast X–ray computed tomography for observing biological soft tissues , 1996, Nature Medicine.

[11]  O. Bunk,et al.  Phase retrieval and differential phase-contrast imaging with low-brilliance X-ray sources , 2006 .

[12]  Guang-Hong Chen,et al.  Image reconstruction for fan-beam differential phase contrast computed tomography. , 2008, Physics in medicine and biology.

[13]  Ziyu Wu,et al.  Reconstruction of the refractive index gradient by x-ray diffraction enhanced computed tomography , 2006, Physics in medicine and biology.

[14]  O. Bunk,et al.  Hard x-ray phase tomography with low-brilliance sources. , 2007, Physical review letters.

[15]  S. Wilkins,et al.  Phase-contrast imaging using polychromatic hard X-rays , 1996, Nature.

[16]  Zhifeng Huang,et al.  Direct computed tomographic reconstruction for directional-derivative projections of computed tomography of diffraction enhanced imaging , 2006 .

[17]  R L Byer,et al.  Three-dimensional beam-deflection optical tomography of a supersonic jet. , 1988, Applied optics.