Weighted NLTV Reconstruction Algorithm Based on Structural Prior Information for Spectral CT

Haijiao Zhang; Huihua Kong; Yonggang Sun

doi:10.3788/AOS201838.0811003

[1] Jakubek J. Semiconductor Pixel detectors and their applications in life sciences[J]. Journal of Instrumentation, 4, 3-13(2009). http://adsabs.harvard.edu/abs/2009JInst...4.3013J

[2] Taguchi K, Zhang M, Frey E. C, et al. Image-domain material decomposition using photon-counting CT[J]. Proceedings of SPIE, 6510, 651008(2007). http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=1336582

[3] Granton P V, Pollmann S I, Ford N L et al. Implementation of dual- and triple-energy cone-beam micro-CT for postreconstruction material decomposition[J]. Medical Physics, 35, 5030-5042(2008).

[4] Anderson N G, Butler A P. Clinical applications of spectral molecular imaging: potential and challenges[J]. Contrast Media & Molecular Imaging, 9, 3-12(2014). http://europepmc.org/abstract/med/24470290

[5] Yu H Y, Wang G. Compressed sensing based interior tomography[J]. Physics in Medicine and Biology, 54, 2791-2805(2009). http://europepmc.org/abstract/MED/19369711

[6] Xu Q, Yu H Y, Bennett J et al. Image reconstruction for hybrid true-color micro-CT[J]. IEEE Transactions on Biomedical Engineering, 59, 1711-1719(2012). http://europepmc.org/articles/PMC3773953

[7] Xu Q, Yu H, Mou X et al. Dictionary learning based image reconstruction for spectral CT[J]. Proceedings of IEEE International Symposium on Biomedical Imaging, 61, 246-253(2014). http://or.nsfc.gov.cn/handle/00001903-5/516898

[8] Zhao B, Ding HJ, Lu Y et al. Dual-dictionary learning-based iterative image reconstruction for spectral computed tomography application[J]. Physics in Medicine and Biology, 57, 8217-8229(2012).

[9] Zhang Y, Yu H, Mou X et al. Dictionary learning and low rank based multi-energy CT reconstruction[C]. The Third International Conference on Image Formation in X-Ray Computed Tomography., 79-82(2014).

[10] Zhao B, Gao H, Ding H et al. Tight-frame based iterative image reconstruction for spectral breast CT[J]. Medical Physics, 40, 031905(2013). http://onlinelibrary.wiley.com/doi/10.1118/1.4790468/pdf

[11] Clark DP, Badea C T. Spectral diffusion: an algorithm for robust material decomposition of spectral CT data[J]. Physics in Medicine and Biology, 59, 6445-6466(2014). http://europepmc.org/articles/PMC4210864

[12] Gao H, Yu H, Osher S et al. Multi-energy CT based on a prior rank, intensity and sparsity model (PRISM)[C]. Inverse Problems, 27, 115012(2011).

[13] Candès E J, Li X, Ma Y et al. Robust principal component analysis[J]. Journal of the ACM (JACM), 58, 11(2011).

[14] Chu J Y, Cong W X, Li L et al. Combination of current-integrating/photon-counting detector modules for spectral CT[J]. Physics in Medicine and Biology, 58, 7009-7024(2013). http://www.ncbi.nlm.nih.gov/pubmed/24043342

[15] Rigie D S. La Rivière P J. Joint reconstruction of multi-channel, spectral CT data via constrained total nuclear variation minimization[J]. Physics in Medicine & Biology, 60, 1741(2015).

[16] Xi Y, Chen Y, Tang R B et al. United iterative reconstruction for spectral computed tomography[J]. IEEE Transactions on Medical Imaging, 34, 769-778(2015). http://europepmc.org/abstract/MED/25051547

[17] Li Z, Leng S. An effective noise reduction method for multi-energy CT images that exploit spatio-spectral features[J]. Medical Physics, 44, 1610-1623(2017).

[18] Rudin L, Osher S. Total variation based image restoration with free local constraints[C]. IEEE International Conference, 1, 31-35(1994).

[19] Gilboa G, Osher S. Nonlocal operators with applications to image processing[J]. Multiscale Modeling & Simulation, 7, 1005-1028(2009). http://www.researchgate.net/publication/220385725_Nonlocal_Operators_with_Applications_to_Image_Processing

[20] Candes E J, Wakin M B, Boyd S P. Enhancing sparsity by reweighted L1 minimization[J]. Journal of Fourier Analysis and Applications, 14, 877-905(2008). http://nsr.oxfordjournals.org/external-ref?access_num=10.1007/s00041-008-9045-x&link_type=DOI

[21] Kim H, Chen J, Wang A et al. Non-local total-variation (NLTV) minimization combined with reweighted L1-norm for compressed sensing CT reconstruction[J]. Physics in Medicine and Biology, 61, 6878-6891(2016).

[22] Zhang Y L, Kong H H, Pan J X et al. Spectral computed tomographic image reconstruction based on split-bregman algorithm[J]. Acta Optica Sinica, 37, 0411003(2017).

[23] Wu W W, Quan C, Liu F L. Filtered back-projection image reconstruction algorithm for opposite parallel linear CT scanning[J]. Acta Optica Sinica, 36, 0911009(2016).