具均匀衰减投影数据下发射型SPECT图像重建方法研究

Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (3): 613-624.

Emission SPECT Image Reconstruction Methods with Uniformly Attenuated Projection Data

Ye Liying¹, Li Jing², Wang Jinping³

1 China Maritime Police Academy, Zhejiang Ningbo 315801;
2 School of Mathematics and Statistics, Zhoukou Normal University, Henan Zhoukou 466001;
3 Faculty of Science, Ningbo University, Zhejiang Ningbo 315211

Received:2016-12-05 Revised:2017-09-26 Online:2018-06-26 Published:2018-06-26
Supported by:
Supported by the NSFC (61271398)

Abstract

Abstract: In this work, we give some basic inversion formulae of the exponential Radon transform; then we study emission SPECT reconstruction methods with uniformly attenuated projection data. We construct an intermediate function by the dual operator and obtain the inversion formula by use of the intermediate function, and we extend it to the fan-beam projection case. Finally we develop the numerical implementation of the finite weighted Hilbert transform.

Key words: Exponential Radon transform, Inversion formula, SPECT reconstruction method

CLC Number:

O175.5

Ye Liying, Li Jing, Wang Jinping. Emission SPECT Image Reconstruction Methods with Uniformly Attenuated Projection Data[J].Acta mathematica scientia,Series A, 2018, 38(3): 613-624.

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References

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Emission SPECT Image Reconstruction Methods with Uniformly Attenuated Projection Data

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