Analytical System Modeling Method for SPECT Based on the Boltzmann Transport Equation

MA Tian-Yu; JIN Yong-Jie

Chinese Physics C> 2006, Vol. 30> Issue(8) : 806-811

Analytical System Modeling Method for SPECT Based on the Boltzmann Transport Equation

MA Tian-Yu ^, ,
JIN Yong-Jie

Department of Engineering Physics, Tsinghua University, Beijing 100084, China

Abstract
HTML
Reference
Related

PDF

Abstract：
In single photon emission computed tomography (SPECT), accurately modeling of the physics of SPECT imaging process is essential to degrading factor compensation and image quality enhancement. In this paper, an analytical SPECT modeling method is proposed based on the theory of the Boltzmann transport equation and its Neumann series solution. The analytical model was numerically evaluated using high dimensional integration algorithm based on number theory. SPECT projection images for both uniform cylinder phantom with point source and NCAT phantom were calculated and compared with those which were generated by conventional Monte-Carlo modeling methods. Results show that the analytical modeling method demonstrates improved performance in computation accuracy and speed relative to the Monte-Carlo method, as well as the advantage that the computational results of the analytical method are free from statistical noise. Therefore, we conclude that the analytical method is more appropriate for modeling the SPECT imaging process than Monte-Carlo modeling methods.

References

[1]

. PEI Lu-Cheng, ZHANG Xiao-Ze. Monte Carlo Method and Application in Particle Transport Problem. Beijing: Sci-ence Press , 1980. 213-233(in Chinese)(裴鹿成,张孝泽.蒙特卡罗方法及其在粒子输运问题中的应用.北京:科学出版社,1980.213—233)2. Boman E, Tervo J, Vauhkonen M. Phys. Med. Biol., 2005,50: 265-2803. MA Tian-Yu, JIN Yong-Jie. Efficient Analytical Scatter Modeling in Fully 3-D Iterative Single Photon Emission Computed Tomography Reconstruction. In: IEEE Nucl.Sci. Symp. Med. Imag. Conf. Rec. Piscataway. NJ: IEEEPress, 2003. 2647-26514. MA Tian-Yu, JIN Yong-Jie. J. Tsinghua Univ. (Sci. Tech.), 2003, 43(10): 1359-1362(in Chinese)(马天予,金永杰.清华大学学报(自然科学版),2003,43(10):1359—1362)5. Harrison R L, Vannoy S D, Haynor D R et al. Preliminary Experience with the Photon History Generator Module of a Public-Domain Simulation Systems for Emission Tomog-raphy. In: IEEE Nucl. Sci. Symp. Med. Imag. Conf. Rec.Piscataway. NJ: IEEE Press, 1993. 1154-11586. Segars W P. Development and Application of the New Dy-namic NURBS-based Cardiac- Torso (NCAT) Phantom.PhD Thesis. The University of North Carolina at Chapel Hill, 2001.

[1]	LIANG Jun , LIU Yan-Chun , ZHU Qiao . Thermodynamics of noncommutative geometry inspired black holes based on Maxwell-Boltzmann smeared mass distribution. Chinese Physics C, 2014, 38(2): 025101. doi: 10.1088/1674-1137/38/2/025101
[2]	HE Jian-Jun , ZHANG Li-Yong , HOU Su-Qing , XU Shi-Wei . Re-examination of constraints on the Maxwell-Boltzmann distribution by Helioseismology. Chinese Physics C, 2013, 37(10): 104001. doi: 10.1088/1674-1137/37/10/104001
[3]	WU Li-Wei , CAO Xue-Xiang , WANG Lu , HUANG Xian-Chao , CHAI Pei , YUN Ming-Kai , ZHANG Yu-Bao , ZHANG Long , SHAN Bao-Ci , WEI Long . Geometric calibration for a SPECT systemdedicated to breast imaging. Chinese Physics C, 2012, 36(10): 1019-1024. doi: 10.1088/1674-1137/36/10/019
[4]	HUANG Xian-Chao , ZHANG Zhi-Ming , LI Dao-Wu , TANG Hao-Hui , LI Ting , LIAO Yan-Fei , LIU Jun-Hui , WANG Pei-Lin , CHEN Yan , WANG Ying-Jie , WEI Long , SHAN Bao-Ci , WANG Bao-Yi . Performance evaluation of a parallel-hole collimated detector module for animal SPECT imaging. Chinese Physics C, 2011, 35(12): 1162-1165. doi: 10.1088/1674-1137/35/12/016
[5]	HOU Mi , PEI Guo-Xi , . Modeling of the RF System for the Normal Conducting Linac. Chinese Physics C, 2008, 32(1): 56-59. doi: 10.1088/1674-1137/32/1/013
[6]	ZHENG Kai , WANG Jun-Hua , LIU Zu-Ping , LI Wei-Min , SUN Bao-Gen , LIU Jian-Hong , YANG Yong-Liang , ZHOU Ze-Ran , CHEN Yuan-Bo , HUANG Long-Jun . Application of Hilbert-Transform-Phase-Space-Reconstruction in HLS Bunch-by-Bunch System. Chinese Physics C, 2007, 31(3): 307-310.
[7]	HOU Jie , LIU Gui-Min . Transport Line Orbit Distortion Correction Based on Response Matrix and SVD Algorithm. Chinese Physics C, 2006, 30(S1): 37-39.
[8]	ZHANG Xiao-Mei , MA Qiu-Mei , WANG Zhe , WANG Da-Yong , YOU Zheng-Yun , MAO Ze-Pu , DENG Zi-Yan , QIU Jin-Fa , LIU Huai-Min , LI Wei-Dong , ZHANG Xue-Rao , MAO Ya-Jun , YUAN Ye , HUANG Xing-Tao , JIANG Lin-Li , ZANG Shi-Lei . Raw Data Management System on GAUDI Framework. Chinese Physics C, 2005, 29(12): 1170-1174.
[9]	ZHANG Shi-Sheng , MENG Jie , GUO Jian-You . Method of the Analytical Continuation of the Coupling Constant in Schrodinger Equations. Chinese Physics C, 2003, 27(12): 1095-1099.
[10]	PAN Qiang-Yan , ZHOU Xiao-Hong , ZHANG Yu-Hu , GUO Ying-Xiang , XU Yan-Bing , LEI Xiang-Guo , HUANG Wen-Xue , WANG Xu-Dong , HE Jian-Jun , FENG Xi-Chen , Xiao Guo-Qing , GUO Zhong-Yan , LI Jia-Xing , YUAN Shuang-Gui , LUO Yi-Xiao . Experimental Methods of Nuclear Spectroscopic Study at RIBLL. Chinese Physics C, 2000, 24(S1): 108-112.
[11]	MING ZhaoYu , ZHANG FengShou , CHEN LieWen , ZHU ZhiYuan , ZHAN WenLong , GUO ZhongYan , XIAO GuoQing . Isospin Dependent Boltzmann-Langevin Equation and the Production Cross Section of ¹⁹Na. Chinese Physics C, 2000, 24(7): 656-661.
[12]	Chen Xiandjun , Zhang Weining , Huo Lei , Liu Yiming . Classical Transport Equation of Quarks Consistent With Quantum Transport Equation. Chinese Physics C, 1998, 22(3): 241-246.
[13]	Chen Xiangjun . Classical Transport Equation of Gluons in QGP. Chinese Physics C, 1997, 21(7): 597-603.
[14]	Chen Xiangjun , Zhang Weining , Liu Yiming . Semi-Classical Transport Equation of Quarks. Chinese Physics C, 1997, 21(10): 905-910.
[15]	YU Zi-Qiang , MAO Guang-Jun , ZHUO Yi-Zhong , LI Zhu-Xia , SUN Zhe-Min . Relativistic BUU Equation. Chinese Physics C, 1992, 16(4): 312-321.
[16]	WANG Jie , YAN Zu-Guo , ZHENG Xi-Te . ANALYTICAL STUDY OF U(1)-HIGGS SYSTEM ON A LATTICE. Chinese Physics C, 1988, 12(3): 329-335.
[17]	PENG SHOU-LI , ZHAO SHU-SONG . GENERAL ANALYTIC SOLUTIONS OF THE THREE DIMENSIONAL ELECTRON SHOWER EQUATIONS IN THE NON-HOMOGENEOUS MEDIUM. Chinese Physics C, 1981, 5(1): 47-54.
[18]	Wei Kai-yu , Lin Zhen-hua . A COMPUTATIONAL METHOD FOR THE DESIGN ENERGY HIGH INTENSITY BEAM TRANSPORT SYSTEMS. Chinese Physics C, 1980, 4(5): 555-562.
[19]	ZHUO YI-ZHONG , WU XI-ZHEN . MASTER EQUATIONS FOR COUPLING SYSTEM. Chinese Physics C, 1979, 3(4): 501-510.
[20]	HSXJ KUNG-NGOU . MASTER EQUATION FOR QUANTUM SYSTEMS. Chinese Physics C, 1978, 2(4): 359-367.

Access

Get Citation

MA Tian-Yu and JIN Yong-Jie. Analytical System Modeling Method for SPECT Based on the Boltzmann Transport Equation[J]. Chinese Physics C, 2006, 30(8): 806-811.

MA Tian-Yu and JIN Yong-Jie. Analytical System Modeling Method for SPECT Based on the Boltzmann Transport Equation[J]. Chinese Physics C, 2006, 30(8): 806-811. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2005-11-08
Revised: 2006-01-13

Article Metric

Article Views(1487)
PDF Downloads(635)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Analytical System Modeling Method for SPECT Based on the Boltzmann Transport Equation

Corresponding author: MA Tian-Yu,

Department of Engineering Physics, Tsinghua University, Beijing 100084, China

Received Date: 2005-11-08

Accepted Date: 2006-01-13

Available Online: 2006-08-05

Abstract: In single photon emission computed tomography (SPECT), accurately modeling of the physics of SPECT imaging process is essential to degrading factor compensation and image quality enhancement. In this paper, an analytical SPECT modeling method is proposed based on the theory of the Boltzmann transport equation and its Neumann series solution. The analytical model was numerically evaluated using high dimensional integration algorithm based on number theory. SPECT projection images for both uniform cylinder phantom with point source and NCAT phantom were calculated and compared with those which were generated by conventional Monte-Carlo modeling methods. Results show that the analytical modeling method demonstrates improved performance in computation accuracy and speed relative to the Monte-Carlo method, as well as the advantage that the computational results of the analytical method are free from statistical noise. Therefore, we conclude that the analytical method is more appropriate for modeling the SPECT imaging process than Monte-Carlo modeling methods.

HTML

Reference (1)

Analytical System Modeling Method for SPECT Based on the Boltzmann Transport Equation

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article