Citation: | SHUI Chong-yuan, HUANG Jian-qing, CAI Wei-wei. On the Superiorization of Inversion Algorithms for Tomographic Absorption Spectroscopy[J]. PHYSICS OF GASES, 2020, 5(2): 28-37. DOI: 10.19527/j.cnki.2096-1642.0810 |
[1] |
Sun J, Xu C L, Zhang B, et al. Three-dimensional temperature field measurement of flame using a single light field camera[J]. Optics Express, 2016, 24(2):1118-1132. https://www.ncbi.nlm.nih.gov/pubmed/26832496
|
[2] |
Meyer T R, Halls B R, Jiang N B, et al. High-speed, three-dimensional tomographic laser-induced incandes-cence imaging of soot volume fraction in turbulent flames[J]. Optics Express, 2016, 24(26):29547-29555.
|
[3] |
Halls B R, Thul D J, Michaelis D, et al. Single-shot, volumetrically illuminated, three-dimensional, tomogra-phic laser-induced-fluorescence imaging in a gaseous free jet[J]. Optics Express, 2016, 24(9):10040-10049.
|
[4] |
Cai W W, Kaminski C F. Tomographic absorption spectroscopy for the study of gas dynamics and reactive flow[J]. Progress in Energy and Combustion Science, 2017, 59:1-31. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=7ebb3bcf549851ebb2b80e16ec44c38e
|
[5] |
Herman G T. Fundamentals of computerized tomography:Image reconstruction from projection[M]. 2nd ed. London:Springer, 2009:1-26.
|
[6] |
Herman G T. Image reconstruction from projections[M]. Berlin:Springer-Verlag, 1979:64-68.
|
[7] |
Tsekenis S, Tait N, McCann H. Spatially resolved and observer-free experimental quantification of spatial resolution in tomographic images[J]. Review of Scientific Instruments, 2015, 86(3):035104. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=9de88e55329d94e67387a56933670779
|
[8] |
Cai W W, Kaminski C F. A tomographic technique for the simultaneous imaging of temperature, chemical species, and pressure in reactive flows using absorption spectroscopy with frequency-agile lasers[J]. Applied Physics Letters, 2014, 104(3):034101. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=165adbdd1b84827f2aafcd8c372df2ab
|
[9] |
李可.基于吸收光谱技术的燃烧场温度与浓度层析成像方法研究[D].南京: 东南大学, 2016. http://cdmd.cnki.com.cn/Article/CDMD-10286-1016328901.htm
Li K. Study on tomography of temperature and concentration in combustion based on absorption spectrum techno-logy[D]. Nanjing: Southeast University, 2016(in Chinese). http://cdmd.cnki.com.cn/Article/CDMD-10286-1016328901.htm
|
[10] |
Yu T, Cai W W. Benchmark evaluation of inversion algorithms for tomographic absorption spectroscopy[J]. Applied Optics, 2017, 56(8):2183-2194. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=76997384d9d8d7d3ec492693516a1fd5
|
[11] |
Gordon R, Bender R, Herman G T. Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and X-ray photography[J]. Journal of Theoretical Biology, 1970, 29(3):471-481. DOI: 10.1016-0022-5193(70)90109-8/
|
[12] |
Landweber L. An iteration formula for Fredholm integral equations of the first kind[J]. American Journal of Mathematics, 1951, 73(3):615-624.
|
[13] |
Dempster A P, Laird N M, Rubin D B. Maximum likelihood from incomplete data via the EM algorithm[J]. Journal of the Royal Statistical Society. Series B, 1977, 39(1):1-38. DOI: 10.1111/j.2517-6161.1977.tb01600.x
|
[14] |
Paige C C, Saunders M A. LSQR:an algorithm for sparse linear equations and sparse least squares[J]. ACM Transactions on Mathematical Software, 1982, 8(1):43-71. http://d.old.wanfangdata.com.cn/Periodical/dqwlxb200602029
|
[15] |
Andersen A H, Kak A C. Simultaneous algebraic reconstruction technique (SART):a superior implementation of the ART algorithm[J]. Ultrasonic Imaging, 1984, 6(1):81-94. http://d.old.wanfangdata.com.cn/Periodical/gdzjg200207019
|
[16] |
Daun K J, Grauer S J, Hadwin P J. Chemical species tomography of turbulent flows:Discrete ill-posed and rank deficient problems and the use of prior information[J]. Journal of Quantitative Spectroscopy and Radiative Transfer, 2016, 172:58-74. https://www.sciencedirect.com/science/article/abs/pii/S0022407315003040
|
[17] |
Tikhonov A N. Inverse problems in heat conduction[J]. Journal of Engineering Physics, 1975, 29(1):816-820. http://d.old.wanfangdata.com.cn/OAPaper/oai_doaj-articles_de70f274bac9a33a2e49187ac402d7db
|
[18] |
Sidky E Y, Kao C M, Pan X. Accurate image reconstruction from few-views and limited-angle data in divergent-beam CT[J]. Journal of X-Ray Science and Technology, 2006, 14(2):119-139. http://d.old.wanfangdata.com.cn/OAPaper/oai_arXiv.org_0904.4495
|
[19] |
Butnariu D, Davidi R, Herman G T, et al. Stable convergence behavior under summable perturbations of a class of projection methods for convex feasibility and optimization problems[J]. IEEE Journal of Selected Topics in Signal Processing, 2007, 1(4):540-547.
|
[20] |
Censor Y, Davidi R, Herman G T. Perturbation resilience and superiorization of iterative algorithms[J]. Inverse Problems, 2010, 26(6):065008. http://d.old.wanfangdata.com.cn/OAPaper/oai_arXiv.org_1005.0069
|
[21] |
Davidi R, Herman G T, Censor Y. Perturbation-resilient block-iterative projection methods with application to image reconstruction from projections[J]. International Transactions in Operational Research, 2009, 16(4):505-524. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3529939/
|
[22] |
Nikazad T, Davidi R, Herman G T. Accelerated perturbation-resilient block-iterative projection methods with application to image reconstruction[J]. Inverse Problems, 2012, 28(3):035005. http://d.old.wanfangdata.com.cn/OAPaper/oai_pubmedcentral.nih.gov_3579648
|
[23] |
Luo S S, Zhou T. Superiorization of EM algorithm and its application in single-photon emission computed tomography (SPECT)[J]. Inverse Problems & Imaging, 2014, 8(1):223-246. http://d.old.wanfangdata.com.cn/OAPaper/oai_arXiv.org_1209.6116
|
[24] |
Garduno E, Herman G T. Superiorization of the ML-EM algorithm[J]. IEEE Transactions on Nuclear Science, 2014, 61(1):162-172. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=f6035e600df47afd886c28d328856b44
|
[25] |
Jin W, Censor Y, Jiang M. Bounded perturbation resilience of projected scaled gradient methods[J]. Computational Optimization and Applications, 2015, 63(2):365-392. DOI: 10.1007%2Fs10589-015-9777-x
|
[26] |
Herman G T, Lent A, Lutz P H. Relaxation methods for image reconstruction[J]. Communications of the ACM, 1978, 21(2):152-158. http://d.old.wanfangdata.com.cn/OAPaper/oai_pubmedcentral.nih.gov_3799947
|
[27] |
Kaczmarz S. Angenaherte aufl osung von systemen linearer gleichungen[J]. Bulletin International de L' Academie Polonaise des Sciences et des Lettres, 1937, 35, 355-357.
|
[28] |
Shepp L A, Vardi Y. Maximum likelihood reconstruction for emission tomography[J]. IEEE Transactions on Medical Imaging, 1982, 1(2):113-122. DOI: 10.1109-TMI.1982.4307558/
|
[29] |
Lange K, Carson R. EM reconstruction algorithms for emission and transmission tomography[J]. Journal of Computer Assisted Tomography, 1984, 8(2):306-316. https://www.ncbi.nlm.nih.gov/pubmed/6608535
|
[30] |
张艳春. Superiorization算法的理论研究和改进及其在CT和MRI中的应用[D].开封: 河南大学, 2016. http://cdmd.cnki.com.cn/Article/CDMD-10475-1016202337.htm
Zhang Y C. Theoretical study and improvement of superiorization algorithm and its application in CT and MRI[D]. Kaifeng: Henan University, 2016(in Chinese). http://cdmd.cnki.com.cn/Article/CDMD-10475-1016202337.htm
|
[31] |
Cai W W, Li X S, Li F, et al. Numerical and experimental validation of a three-dimensional combustion diagnostic based on tomographic chemiluminescence[J]. Optics Express, 2013, 21(6):7050-7064. https://www.ncbi.nlm.nih.gov/pubmed/23546088
|
[32] |
Twynstra M G, Daun K J. Laser-absorption tomography beam arrangement optimization using resolution matrices[J]. Applied Optics, 2012, 51(29):7059-7068. http://d.old.wanfangdata.com.cn/NSTLQK/NSTL_QKJJ0227898184/
|
[33] |
Terzija N, Davidson J L, Garcia-Stewart C A, et al. Image optimization for chemical species tomography with an irregular and sparse beam array[J]. Measurement Science and Technology, 2008, 19(9):094007. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=00ecd75dae21b65cd375158d55c5808a
|