Iterative reconstruction for photon-counting CT using prior image constrained total generalized variation

In this paper, we present an iterative reconstruction for photon-counting CT using prior image constrained total generalized variation (PICTGV). This work aims to exploit structural correlation in the energy domain to reduce image noise in photon-counting CT with narrow energy bins. This is motived by the fact that the similarity between high-quality full-spectrum image and target image is an important prior knowledge for photon-counting CT reconstruction. The PICTGV method is implemented using a splitting-based fast iterative shrinkage-threshold algorithm (FISTA). Evaluations conducted with simulated and real photon-counting CT data demonstrate that PICTGV method outperforms the existing prior image constrained compressed sensing (PICCS) method in terms of noise reduction, artifact suppression and resolution preservation. In the simulated head data study, the average relative root mean squared error is reduced from 2.3% in PICCS method to 1.2% in PICTGV method, and the average universal quality index increases from 0.67 in PICCS method to 0.76 in PICTGV method. The results show that the present PICTGV method improves the performance of the PICCS method for photon-counting CT reconstruction with narrow energy bins.

[1]  Zhaoying Bian,et al.  An Efficient Iterative Cerebral Perfusion CT Reconstruction via Low-Rank Tensor Decomposition With Spatial–Temporal Total Variation Regularization , 2019, IEEE Transactions on Medical Imaging.

[2]  Lei Zhu,et al.  Iterative image-domain decomposition for dual-energy CT. , 2014, Medical physics.

[3]  Jong Chul Ye,et al.  Sparse-View Spectral CT Reconstruction Using Spectral Patch-Based Low-Rank Penalty , 2015, IEEE Transactions on Medical Imaging.

[4]  A. Bovik,et al.  A universal image quality index , 2002, IEEE Signal Processing Letters.

[5]  Y Zhang,et al.  WE-FG-207B-05: Iterative Reconstruction Via Prior Image Constrained Total Generalized Variation for Spectral CT. , 2016, Medical physics.

[6]  Xuanqin Mou,et al.  Tensor-Based Dictionary Learning for Spectral CT Reconstruction , 2017, IEEE Transactions on Medical Imaging.

[7]  Zhaoying Bian,et al.  Optimizing a Parameterized Plug-and-Play ADMM for Iterative Low-Dose CT Reconstruction , 2019, IEEE Transactions on Medical Imaging.

[8]  C. McCollough,et al.  Dual- and Multi-Energy CT: Principles, Technical Approaches, and Clinical Applications. , 2015, Radiology.

[9]  A. Macovski,et al.  Energy-selective reconstructions in X-ray computerised tomography , 1976, Physics in medicine and biology.

[10]  Jie Tang,et al.  Prior image constrained compressed sensing (PICCS): a method to accurately reconstruct dynamic CT images from highly undersampled projection data sets. , 2008, Medical physics.

[11]  James C. Williams,et al.  Noninvasive differentiation of uric acid versus non-uric acid kidney stones using dual-energy CT. , 2007, Academic radiology.

[12]  Jing Huang,et al.  Spectral CT Image Restoration via an Average Image-Induced Nonlocal Means Filter , 2016, IEEE Transactions on Biomedical Engineering.

[13]  Gaohang Yu,et al.  Nonlocal low-rank and sparse matrix decomposition for spectral CT reconstruction , 2018, Inverse problems.

[14]  Karl Kunisch,et al.  Total Generalized Variation , 2010, SIAM J. Imaging Sci..

[15]  Jing Huang,et al.  Sparse angular CT reconstruction using non-local means based iterative-correction POCS , 2011, Comput. Biol. Medicine.

[16]  Jianhua Ma,et al.  A new CT reconstruction technique using adaptive deformation recovery and intensity correction (ADRIC) , 2017, Medical physics.

[17]  Guang-Hong Chen,et al.  Dual energy CT using slow kVp switching acquisition and prior image constrained compressed sensing , 2010, Physics in medicine and biology.

[18]  Zhicong Yu,et al.  Spectral prior image constrained compressed sensing (spectral PICCS) for photon-counting computed tomography , 2016, Physics in medicine and biology.

[19]  Gaohang Yu,et al.  Sparse-view x-ray CT reconstruction via total generalized variation regularization , 2014, Physics in medicine and biology.

[20]  R. Alvarez,et al.  Comparison of dual energy detector system performance. , 2004, Medical physics.

[21]  Lei Zhu,et al.  Combined iterative reconstruction and image-domain decomposition for dual energy CT using total-variation regularization. , 2014, Medical physics.

[22]  K. Taguchi,et al.  Vision 20/20: Single photon counting x-ray detectors in medical imaging. , 2013, Medical physics.

[23]  P. Shikhaliev Energy-resolved computed tomography: first experimental results , 2008, Physics in medicine and biology.

[24]  Huazhong Shu,et al.  Median prior constrained TV algorithm for sparse view low-dose CT reconstruction , 2015, Comput. Biol. Medicine.

[25]  Rui Liu,et al.  An adaptive reconstruction algorithm for spectral CT regularized by a reference image , 2016, Physics in medicine and biology.

[26]  Andrew M Hernandez,et al.  Tungsten anode spectral model using interpolating cubic splines: unfiltered x-ray spectra from 20 kV to 640 kV. , 2014, Medical physics.

[27]  Jun Zhao,et al.  United Iterative Reconstruction for Spectral Computed Tomography , 2015, IEEE Transactions on Medical Imaging.

[28]  Jun Ni,et al.  Parallel iterative cone beam CT image reconstruction on a PC cluster , 2005 .

[29]  T. Pock,et al.  Second order total generalized variation (TGV) for MRI , 2011, Magnetic resonance in medicine.

[30]  Jing Wang,et al.  Inverse determination of the penalty parameter in penalized weighted least-squares algorithm for noise reduction of low-dose CBCT. , 2011, Medical physics.

[31]  Jing Huang,et al.  Penalized weighted least-squares approach for multienergy computed tomography image reconstruction via structure tensor total variation regularization , 2016, Comput. Medical Imaging Graph..

[32]  Lei Zhu,et al.  A general framework of noise suppression in material decomposition for dual-energy CT. , 2015, Medical physics.

[33]  Mark A. Anastasio,et al.  Proximal ADMM for Multi-Channel Image Reconstruction in Spectral X-ray CT , 2014, IEEE Transactions on Medical Imaging.

[34]  Jeffrey A. Fessler,et al.  Statistical image reconstruction for polyenergetic X-ray computed tomography , 2002, IEEE Transactions on Medical Imaging.

[35]  C. Mistretta,et al.  Noise reduction in spectral CT: reducing dose and breaking the trade-off between image noise and energy bin selection. , 2011, Medical physics.

[36]  S. Osher,et al.  Multi-energy CT based on a prior rank, intensity and sparsity model (PRISM) , 2011, Inverse problems.

[37]  P. Shikhaliev,et al.  Photon counting spectral CT versus conventional CT: comparative evaluation for breast imaging application , 2011, Physics in medicine and biology.

[38]  Ge Wang,et al.  Spectral CT Reconstruction With Image Sparsity and Spectral Mean , 2016, IEEE Transactions on Computational Imaging.

[39]  Patrick J La Rivière,et al.  Joint reconstruction of multi-channel, spectral CT data via constrained total nuclear variation minimization , 2014, Physics in medicine and biology.

[40]  P. L. Combettes,et al.  A proximal decomposition method for solving convex variational inverse problems , 2008, 0807.2617.

[41]  Zhengrong Liang,et al.  Adaptive-weighted total variation minimization for sparse data toward low-dose x-ray computed tomography image reconstruction , 2012, Physics in medicine and biology.

[42]  Marc Teboulle,et al.  A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems , 2009, SIAM J. Imaging Sci..

[43]  Polad M Shikhaliev,et al.  Beam hardening artefacts in computed tomography with photon counting, charge integrating and energy weighting detectors: a simulation study , 2005, Physics in medicine and biology.

[44]  G J Gang,et al.  Dual-energy cone-beam CT with a flat-panel detector: effect of reconstruction algorithm on material classification. , 2014, Medical physics.

[45]  Jing Wang,et al.  A Biomechanical Modeling Guided CBCT Estimation Technique , 2017, IEEE Transactions on Medical Imaging.

[46]  Jie Tang,et al.  Prior image constrained compressed sensing: implementation and performance evaluation. , 2011, Medical physics.

[47]  Jianhua Ma,et al.  Iterative reconstruction for dual energy CT with an average image-induced nonlocal means regularization , 2017, Physics in medicine and biology.

[48]  R Aamir,et al.  MARS spectral molecular imaging of lamb tissue: data collection and image analysis , 2013, 1311.4528.

[49]  Xiaochuan Pan,et al.  An algorithm for constrained one-step inversion of spectral CT data , 2015, Physics in medicine and biology.

[50]  Jie Tang,et al.  Performance comparison between total variation (TV)-based compressed sensing and statistical iterative reconstruction algorithms , 2009, Physics in medicine and biology.

[51]  E. Sidky,et al.  Image reconstruction in circular cone-beam computed tomography by constrained, total-variation minimization , 2008, Physics in medicine and biology.

[52]  M. Macari,et al.  Dual energy CT: preliminary observations and potential clinical applications in the abdomen , 2008, European Radiology.

[53]  David Zhang,et al.  FSIM: A Feature Similarity Index for Image Quality Assessment , 2011, IEEE Transactions on Image Processing.

[54]  Zhaoying Bian,et al.  Iterative reconstruction for sparse-view x-ray CT using alpha-divergence constrained total generalized variation minimization. , 2017, Journal of X-ray science and technology.

[55]  Mark A Anastasio,et al.  Sparsity-regularized image reconstruction of decomposed K-edge data in spectral CT , 2014, Physics in Medicine and Biology.

[56]  P. Shikhaliev Computed tomography with energy-resolved detection: a feasibility study , 2008, Physics in medicine and biology.

[57]  Zhiqiang Chen,et al.  A tensor PRISM algorithm for multi-energy CT reconstruction and comparative studies. , 2014, Journal of X-ray science and technology.