DIFFERENTIAL PHASE-CONTRAST X-RAY COMPUTED TOMOGRAPHY: FROM MODEL DISCRETIZATION TO IMAGE RECONSTRUCTION

被引:0
作者
Nilchian, Masih [1 ]
Unser, Michael [1 ]
机构
[1] Ecole Polytech Fed Lausanne, Biomed Imaging Grp, Lausanne, Switzerland
来源
2012 9TH IEEE INTERNATIONAL SYMPOSIUM ON BIOMEDICAL IMAGING (ISBI) | 2012年
关键词
differential phase-contrast imaging; alternating direction method of multipliers (ADMM); Radon transform; preconditioned conjugate gradient method; filtered back projection (FBP);
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Our contribution in this paper is two fold. First, we propose a novel discretization of the forward model for differential phase-contrast imaging that uses B-spline basis functions. The approach yields a fast and accurate algorithm for implementing the forward model, which is based on the first derivative of the Radon transform. Second, as an alternative to the FBP-like approaches that are currently used in practice, we present an iterative reconstruction algorithm that remains more faithful to the data when the number of projections dwindles. Since the reconstruction is an ill-posed problem, we impose a total-variation (TV) regularization constraint. We propose to solve the reconstruction problem using the alternating direction method of multipliers (ADMM). A specificity of our system is the use of a preconditioner that improves the convergence rate of the linear solver in ADMM. Our experiments on test data suggest that our method can achieve the same quality as the standard direct reconstruction, while using only one-third of the projection data. We also find that the approach is much faster than the standard algorithms (ISTA and FISTA) that are typically used for solving linear inverse problems subject to the TV regularization constraint.
引用
收藏
页码:90 / 93
页数:4
相关论文
共 9 条
  • [1] A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
    Beck, Amir
    Teboulle, Marc
    [J]. SIAM JOURNAL ON IMAGING SCIENCES, 2009, 2 (01): : 183 - 202
  • [2] Realistic Analytical Phantoms for Parallel Magnetic Resonance Imaging
    Guerquin-Kern, M.
    Lejeune, L.
    Pruessmann, K. P.
    Unser, M.
    [J]. IEEE TRANSACTIONS ON MEDICAL IMAGING, 2012, 31 (03) : 626 - 636
  • [3] Iterative reconstruction for differential phase contrast imaging using spherically symmetric basis functions
    Koehler, Thomas
    Brendel, Bernhard
    Roessl, Ewald
    [J]. MEDICAL PHYSICS, 2011, 38 (08) : 4542 - 4545
  • [4] Natterer F., 1986, MATH COMPUTED TOMOGR
  • [5] Tomographic reconstruction of three-dimensional objects from hard X-ray differential phase contrast projection images
    Pfeiffer, F.
    Bunk, O.
    Kottler, C.
    David, C.
    [J]. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 2007, 580 (02) : 925 - 928
  • [6] Qi Z., 2009, Proceedings of SPIE, V7258, page, p72584A
  • [7] Magnetic field induced differential neutron phase contrast imaging
    Strobl, M.
    Treimer, W.
    Walter, P.
    Keil, S.
    Manke, I.
    [J]. APPLIED PHYSICS LETTERS, 2007, 91 (25)
  • [8] Sampling - 50 years after Shannon
    Unser, M
    [J]. PROCEEDINGS OF THE IEEE, 2000, 88 (04) : 569 - 587
  • [9] Radiation dose efficiency comparison between differential phase contrast CT and conventional absorption CT
    Zambelli, Joseph
    Bevins, Nicholas
    Qi, Zhihua
    Chen, Guang-Hong
    [J]. MEDICAL PHYSICS, 2010, 37 (06) : 2473 - 2479