A Simple Calculation of System Matrix Base on 2-D Index

Abstract:

The system matrix plays an important role in the improvement of medical image reconstruction quality in iterative reconstruction. It consists of a certain sequence of projection coefficients. Projection coefficients indicate the radiological path through a tow-dimensional grid array which is constructed based on the reconstructed image. It is a common geometric problem of evaluating the radiological path through the grid array. This paper identifies the inefficient aspect of the traditionally precise evaluation of the radiological path. A new accurate and simple algorithm is presented, which considers that the projection coefficients can be shown in two-dimensional way. Experimental results based on GATE (Geant4 Application for Tomographic Emission) simulating PET (Positron Emission Tomography) imaging shows that the proposed algorithm is efficient to build up a system matrix, and the image can be reconstructed by the system matrix.

• Periodical: Applied Mechanics and Materials (Volume 339)
• Pages: 247-252
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.339.247
• Online since: July 2013
• Authors: Hong Lei Chen, Jian Feng He, Lei Ma, Jun Qing Liu
• Keywords: Grid Array, Iterative Image Reconstruction, Projection Coefficients, System Matrix

References

[1] Michael E. Phelps. PET: physics, instrumentation, and scanners. Springer,NY(2006).

[2] L. A. Shepp and Y. Vardi. Maximum Likelihood Reconstruction for Emission Tomography Medical Imaging, IEEE Transactions, vol.1(1982), pp.113-122.

DOI: 10.1109/tmi.1982.4307558

[3] H. M. Hudson and R. S. Larkin. Accelerated image reconstruction using ordered subsets of projection data. Medical Imaging, IEEE Transactions, vol. 13(1994), pp.601-609.

DOI: 10.1109/42.363108

[4] R. L. Siddon. Fast calculation of the exact radiological path for a three-dimensional CT array. Medical Physics, vol.12(1985),pp.252-255.

DOI: 10.1118/1.595715

[5] Zhang Shunli, Zhang Dinghua, Li Shan and Zhao Xinbo. Research of Fast Image Reconstruction on ART Algorithm. Computer Engineering and Applications, vol. 42(2006),pp.1-3.

[6] Hu Xiaozhou, Kong Bin, Cheng Erkang and Hu Rongxiang. An Image Algebraic Reconstruction Technique Based on POCS Restriction. Pattern Recognition and Artificial Intelligence, vol.22(2009), pp.763-768.

[7] Zhou Bin, Wang Liantang, Wang Junjie and Zhai Liangliang. A Fast projection coefficient computation method in algebraic reconstruction technique. Computer Engineering and Applications, vol.44(2008), pp.46-48.

[8] Wang Xu, Chen Zhiqiang, Xiong Hua and Zhang Li. Projection computation based on pixel in simultaneous algebraic reconstruction technique. Nuclear Electronics & Detection Technology, vol.25 (2005), pp.785-788.

[9] Information on http://www.opengatecollaboration.org/

[10] S. Jan, G. Santin, D. Strul, et al. GATE Users Guide Version 5.0.0. , OpenGATE Collaboration (2009).