A Fourier Reconstruction Algorithm in π-Scheme Short-Scan SPECT 被引量：2

A Fourier Reconstruction Algorithm in π-Scheme Short-Scan SPECT

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摘要 In this paper, an approximate analytical algorithm in the form of direct Fourier reconstruction is obtained for the recon- struction of data functions arisen from ^-scheme short-scan sin- gle-photon emission computed tomography（SPECT） with uniform attenuation, and the modified central slice theorem is developed. Numerical simulations are conducted to demonstrate the effec- tiveness of the developed method. In this paper, an approximate analytical algorithm in the form of direct Fourier reconstruction is obtained for the recon- struction of data functions arisen from ^-scheme short-scan sin- gle-photon emission computed tomography（SPECT） with uniform attenuation, and the modified central slice theorem is developed. Numerical simulations are conducted to demonstrate the effec- tiveness of the developed method.

作者 SHI Tingting WANG Jinping

机构地区 Faculty of Science

出处《Wuhan University Journal of Natural Sciences》 CAS 2013年第2期97-101,共5页 武汉大学学报（自然科学英文版）

基金 Supported by the National Natural Science Foundation of China(61271398) the Natural Science Foundation of Ningbo(2012A610031)

关键词 single-photon emission computed tomography（SPECT） inversion formula Fourier reconstruction algorithm thecentral slice theorem n -scheme short-scan single-photon emission computed tomography（SPECT） inversion formula Fourier reconstruction algorithm thecentral slice theorem n -scheme short-scan

分类号 TH774 [机械工程—精密仪器及机械] TP391.41 [自动化与计算机技术—计算机应用技术]

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参考文献15

1Bellini S, Piacentini M, Caflbrio C, et al. Compensation of tissue absorption in emission tomography [J]. IEEE Trans Acoust Speech Signal Process, 1979, 27:213-218.
2Tretiak O J, Metz C. The exponential Radon transform [J]. SIAMJAppl Math, 1980, 39: 341-354.
3Hawkins W G, Leichner P K, Yang N C. The circular har-monic transform for SPECT reconstruction and boundary conditions on the Fourier transform of the sonogram [J]. IEEE Trans Med lmaging, 1988, 7: 135-148.
4Inouye T, Kose K, Hasegawa A. Image reconstruction algo- rithm for single-photon-emission computed tomography with uniform attenuation [J]. Phys Med Biol, 1989, 34: 299-304.
5王金平,杜金元.A NOTE ON SINGULAR VALUE DECOMPOSITION FOR RADON TRANSFORM IN R^n[J].Acta Mathematica Scientia,2002,22(3):311-318. 被引量：3
6Wang Jin-ping,Du Jin-yuan.The Harmonic Decomposition Reconstruction for the Exponential Radon Transform[J].Wuhan University Journal of Natural Sciences,2002,7(1):1-5. 被引量：2
7Chen Li, Hu Lianggen. Solution stability for a class of inte- gral-differential equations [J]. Journal of Ningbo Univer- sity(NSEE), 2011,24(4): 36-40.
8Shneiberg I, Ponomarev I, Dmitrichenko V, et al. On a new reconstruction algorithm in emission tomography [C]//Applied Problems of Radon Transform eds Gindikin, 1994, 162: 247-255.
9Noo F, Wagner J M. Image reconstruction in 2D SPECT with 180° acquisition [J]. Inverse Problems, 2001, 17: 1357- 1371.
10Pan X, Kao C, Metz C, et al. Image reconstruction in 3D short-scan SPECT [C]//2001 Int Meeting on Fulh, Three- Dimensional Image Reconstruction in Radiology and Nu- clear Medicine. New York : IEEE Press, 2002:119-124.

二级参考文献15

1Ludwig D.The Radon transform on Euclidean space. Communications on Pure and Applied Mathematics . 1966
2Smith K T,Keinert F.Mathematical foundation of computed tomography. Applied Optics . 1985
3Quinto E T.Singular value decomposition and inversion methods for the exterior Radon transform and a spherical transform. Journal of Mathematical Analysis and Applications . 1983
4Abramowitz M,Stegum I A,eds.Handbook of Mathematical Functions. . 1965
5Gradshteyn I S,Ryzhik I.Tables of Integrals, Series and Products. . 1965
6Louis A K.Ghosts in tomography-the null space of the Radon transform. Mathematical Methods in the Applied Sciences . 1981
7Natterer F.The Mathematics of Computerized Tomograph. . 1987
8Seeley R.Spherical harmonics. The American Mathematical Monthly . 1966
9Maass P.The interior Radon transform. SIAM Journal on Applied Mathematics . 1992
10Smith K T,Solmon D C,Wagner S L.Practical and mathematical aspects of the problem of reconstructing objects from radiographs. Bulletin of the American Mathematical Society . 1977

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2JIANG Jun,WANG Jinping.Reconstruction Results about the Exponential Radon Transform[J].Wuhan University Journal of Natural Sciences,2013,18(1):25-28.
3郭娟,王金平.CONVERGENCE ANALYSIS OF THE LOPING OS-EM ITERATIVE VERSION OF THE CIRCULAR RADON TRANSFORM[J].Acta Mathematica Scientia,2014,34(6):1875-1884. 被引量：2

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2Natterer F.The mathematic of computerized tomography [M].New York: John Wiley & Sons,1986:86-95.
3Zeng G L,Gullberg G.T.Exact intertive reconstruction for the interior problem[J].Phys Med Biol,2009,54: 5805-5814.
4Huang Q,You J S,Zeng G L,et al.Reconstruction from uniformly attenuated SPECT projection data using the DBH method[J].IEEE Trans Med Imaging,2009,28(1): 17-29.
5Kunyansky L.A new SPECT reconstruction algorithm based on the Novikovs explicit inversion formula[J].Inverse problems,2001,17:293-306.
6Natterer F.Inversion of the attenuated Radon transform[J].Inverse problems,2001,17:113-119.
7Inouye T,Kose K,Hasegawa A.Image reconstruction algorithm for single-photon-emission computed tomo- graphy with uniform attenuation[J].Phys Med Biol,1989,34:299-304.
8王金平.Radon型广义变换的反演及性态研究[J].数学物理学报（A辑）,2011,31(3):636-643. 被引量：2
9张小琳,景越峰.Prewitt算子边缘检测及改进[J].高能量密度物理,2011(4):155-159. 被引量：3

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2汤少杰,牟轩沁,张天武,王文庆.基于感兴趣区域CT重建的运动估计[J].CT理论与应用研究（中英文）,2011,20(3):321-329.
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4文通信息新版IT-Scan图档易扫通[J].石油工业计算机应用,2005,13(4):58-58.
5刘良云,袁艳,相里斌,李英才.高通量层析成像光谱仪的仿真研究[J].光学学报,2001,21(2):198-201. 被引量：4
6新品播报[J].中国计算机用户,2005(42):61-61.
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8文通信息发布新版IT-Scan图档易扫通[J].计算机与网络,2005,31(21):42-42.
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