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Numerical Simulation from Medical Images: Accurate Integration by Means of the Cartesian Grid Finite Element Method

机译:医学图像的数值模拟:通过笛卡尔网格有限元方法的精确积分

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Nowadays, when it comes to generation of patient-specific Finite Element model, there are two main alternatives. On the one hand, it is possible to generate geometrical models through segmentation, whereupon FE models would be obtained using standard mesh generators. On the other hand, we can create a Cartesian grid of uniform hexahedra in which the elements fit each pixel/voxel perfectly. In both cases, geometries will take part during the analysis either as complete models, in the first case, or as auxiliary entities, to apply boundary conditions properly for instance, in the second case. In any case, once the geometrical entities have been obtained from the medical image, the efficient generation of an accurate Finite Element model for numerical simulation in not trivial. The aim of this paper is to propose an efficient integration strategy, using Cartesian meshes, of 3D geometries defined by parametric surfaces, i.e. NURBS, obtained from medical images.
机译:如今,在生成特定于患者的有限元模型时,有两种主要选择。一方面,可以通过分段生成几何模型,然后可以使用标准网格生成器获得有限元模型。另一方面,我们可以创建均匀六面体的笛卡尔网格,其中的元素可以完美地适合每个像素/体素。在这两种情况下,几何形状都将在分析过程中作为完整模型(在第一种情况下)或作为辅助实体参与,以在例如第二种情况下适当地应用边界条件。无论如何,一旦从医学图像中获得了几何实体,就可以高效地生成用于数值模拟的精确有限元模型。本文的目的是使用笛卡尔网格,提出一种有效的整合策略,该算法采用从医学图像获得的参数化曲面(即NURBS)定义的3D几何形状。

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