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首页> 外文期刊>Physics in medicine and biology. >Motion compensation for PET image reconstruction using deformable tetrahedral meshes
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Motion compensation for PET image reconstruction using deformable tetrahedral meshes

机译：使用可变形四面体网格进行PET图像重建的运动补偿

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Respiratory-induced organ motion is a technical challenge to PET imaging. This motion induces displacements and deformation of the organs tissues, which need to be taken into account when reconstructing the spatial radiation activity. Classical image-based methods that describe motion using deformable image registration (DIR) algorithms cannot fully take into account the non-reproducibility of the respiratory internal organ motion nor the tissue volume variations that occur during breathing. In order to overcome these limitations, various biomechanical models of the respiratory system have been developed in the past decade as an alternative to DIR approaches. In this paper, we describe a new method of correcting motion artefacts in PET image reconstruction adapted to motion estimation models such as those based on the finite element method. In contrast with the DIR-based approaches, the radiation activity was reconstructed on deforming tetrahedral meshes. For this, we have re-formulated the tomographic reconstruction problem by introducing a time-dependent system matrix based calculated using tetrahedral meshes instead of voxelized images. The MLEM algorithm was chosen as the reconstruction method. The simulations performed in this study show that the motion compensated reconstruction based on tetrahedral deformable meshes has the capability to correct motion artefacts. Results demonstrate that, in the case of complex deformations, when large volume variations occur, the developed tetrahedral based method is more appropriate than the classical DIR-based one. This method can be used, together with biomechanical models controlled by external surrogates, to correct motion artefacts in PET images and thus reducing the need for additional internal imaging during the acquisition.
机译：呼吸器官运动是PET成像的一项技术挑战。该运动引起器官组织的位移和变形，在重建空间辐射活动时需要考虑这些位移和变形。使用可变形图像配准（DIR）算法描述运动的基于图像的经典方法无法完全考虑呼吸内脏运动的不可再现性，也不能完全考虑呼吸过程中发生的组织体积变化。为了克服这些限制，在过去的十年中，已经开发了呼吸系统的各种生物力学模型作为DIR方法的替代方法。在本文中，我们描述了一种适用于运动估计模型（例如基于有限元方法的模型）的PET图像重建中校正运动伪影的新方法。与基于DIR的方法相反，辐射活动是在变形的四面体网格上重建的。为此，我们通过引入基于时间的系统矩阵（使用四面体网格而不是体素化图像进行计算）重新构造了层析成像重建问题。选择MLEM算法作为重构方法。在这项研究中进行的仿真表明，基于四面体可变形网格的运动补偿重建具有纠正运动伪影的能力。结果表明，在复杂变形的情况下，当发生大体积变化时，已开发的基于四面体的方法比基于经典DIR的方法更合适。该方法可以与外部替代物控制的生物力学模型一起使用，以校正PET图像中的运动伪像，从而减少采集过程中对其他内部成像的需要。

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