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Indirect methods for improving parameter estimation of PET kinetic models

机译:改进PET动力学模型参数估计的间接方法

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摘要

Purpose Parametric images obtained from kinetic modeling of dynamic positron emission tomography (PET) data provide a new way of visualizing quantitative parameters of the tracer kinetics. However, due to the high noise level in pixel‐wise image‐driven time‐activity curves, parametric images often suffer from poor quality and accuracy. In this study, we propose an indirect parameter estimation framework which aims to improve the quality and quantitative accuracy of parametric images. Methods Three different approaches related to noise reduction and advanced curve fitting algorithm are used in the proposed framework. First, dynamic PET images are denoised using a kernel‐based denoising method and the highly constrained backprojection technique. Second, gradient‐free curve fitting algorithms are exploited to improve the accuracy and precision of parameter estimates. Third, a kernel‐based post‐filtering method is applied to parametric images to further improve the quality of parametric images. Computer simulations were performed to evaluate the performance of the proposed framework. Results and conclusions The simulation results showed that when compared to the Gaussian filtering, the proposed denoising method could provide better PET image quality, and consequentially improve the quality and quantitative accuracy of parametric images. In addition, gradient‐free optimization algorithms (i.e., pattern search) can result in better parametric images than the gradient‐based curve fitting algorithm (i.e., trust‐region‐reflective). Finally, our results showed that the proposed kernel‐based post‐filtering method could further improve the precision of parameter estimates while maintaining the accuracy of parameter estimates.
机译:从动态正电子发射断层扫描(PET)数据的动力学建模获得的目的参数图像提供了一种可视化示踪动力学的定量参数的新方法。然而,由于像素明智的图像驱动的时间活动曲线中的高噪声水平,参数图像经常遭受质量差和精度。在本研究中,我们提出了一种间接参数估计框架,其旨在提高参数图像的质量和定量精度。方法在提出的框架中使用了三种与降噪和高级曲线拟合算法相关的不同方法。首先,使用基于内核的去噪方法和高度约束的反光技术来欺骗动态PET图像。其次,利用梯度无曲线拟合算法来提高参数估计的准确性和精度。第三,基于内核的滤波后滤波方法应用于参数图像以进一步提高参数图像的质量。进行计算机仿真以评估所提出的框架的性能。结果和结论模拟结果表明,当与高斯滤波相比,所提出的去噪方法可以提供更好的PET图像质量,并因此提高参数图像的质量和定量精度。另外,梯度无优化算法(即模式搜索)可以导致比基于梯度的曲线拟合算法(即,信任区域反射)更好的参数图像。最后,我们的结果表明,基于内核的后滤波方法可以进一步提高参数估计的精度,同时保持参数估计的准确性。

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