Linear attenuation coefficient acquisition method and reconstruction method for PET image reconstruction
A technology of linear attenuation coefficient and image reconstruction, applied in the field of PET detection system, can solve the problems of complex application, difficult promotion, attenuation image truncation, etc., and achieve the effects of improving image quality, improving iteration speed, and eliminating metal artifacts.
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Embodiment 1
[0072] Such as figure 1 As shown, this embodiment provides a method for obtaining a linear attenuation coefficient for PET image reconstruction. The method of this embodiment can be implemented on any electronic device, preferably in a computing device associated with a PET detector. The method of this embodiment The method may include the steps of:
[0073] S10. Based on the collected PET detection data, construct a logarithmic likelihood function L for estimating the PET image without attenuation correction.
[0074] For example, the log-likelihood function L of a PET image without attenuation correction is as follows;
[0075] Formula one:
[0076] Among them, r=[r 1t ,r 2t ,...,r NT ] T Indicates the average value of random noise, y=[y 1t ,y 2t ,...,y NT ] T Represents the collected PET detection data, M represents the size of the PET image space, and the space size remains unchanged, A=[A ijt ] is the system matrix, x=[x 1 ,x 2 ,...,x j ...,x M ] T denot...
Embodiment 2
[0095] This embodiment provides a method of using a deep learning network to map a linear attenuation coefficient image from a PET image without attenuation correction, and then use the obtained linear attenuation coefficient image value as the initial value of the linear attenuation coefficient iterative algorithm to obtain a reconstructed PET image. image, to ensure fast and stable convergence of the linear attenuation coefficient estimation algorithm. This method can be completed in the computing equipment of the PET detection system, which effectively improves the computing speed and computing time, increases reliability and stability, and combines Figure 2A to Figure 4 As shown, the specific steps are as follows:
[0096] The following steps 201 to 203 are all existing modeling processes, and since subsequent steps require formulas and explanations, they are listed here.
[0097] 201. The acquisition process of PET detection data can be modeled as the following formula:...
Embodiment 3
[0137] The embodiment of the present invention provides a PET image reconstruction method, the method of this embodiment can be implemented on any electronic device, which includes:
[0138] 301. Obtain the linear attenuation coefficient image μ used for PET image reconstruction by using the linear attenuation coefficient acquisition method described in the first embodiment above 1 ;
[0139] 302. The linear attenuation coefficient image μ 1 value as the known initial value of the linear attenuation coefficient distribution μ;
[0140] 303. Based on the objective function of the pre-established PET image, the linear attenuation coefficient of the known initial value, and the PET radioactivity distribution x, an alternate solution strategy is used to obtain the final reconstructed PET image;
[0141] Among them, the linear attenuation coefficient distribution μ and the PET activity distribution x are two variables in the objective function of the PET image, respectively;
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