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A fast algorithm for generating large tetrahedral 3D finite element meshes from magnetic resonance tomograms

机译:从磁共振断层图生成大型四面体3D有限元网格的快速算法

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Addresses the problem of generating three-dimensional (3D) finite element (FE) meshes from medical voxel datasets. With their background in cognitive neuroscience, the authors deal with brain MR tomograms of up to 256/sup 3/ voxels which contain a multitude of incompletely definable, complex-shaped objects. The authors describe an algorithm that allows the fast and stable creation of very large 3D meshes with well-defined geometric properties. The task of generating anisotropic meshes consisting of up to one million tetrahedra is fulfilled within minutes on a standard workstation. As the angles of the tetrahedra have a direct influence on the stability of the finite element analysis, special care has been taken to assess the element quality. The authors' algorithm is based on the idea of an image-based spatial decomposition of the problem domain yielding smaller subproblems that can efficiently be handled. The authors' primary purpose is to set up mechanical and electro-magnetical finite element models of the brain. However, their FE meshes could also be useful in other types of finite element analyses or as deformable volume models for shape descriptions and shape comparisons.
机译:解决了从医疗体素数据集生成三维(3D)有限元(FE)网格的问题。作者以认知神经科学为背景,处理的脑MR断层图多达256 / sup 3 /体素,其中包含许多不完全可定义的复杂形状的对象。作者介绍了一种算法,该算法可以快速稳定地创建具有明确定义的几何属性的超大型3D网格。在标准工作站上,几分钟之内即可完成生成多达一百万个四面体的各向异性网格的任务。由于四面体的角度直接影响有限元分析的稳定性,因此需要特别注意评估元素的质量。作者的算法基于对问题域进行基于图像的空间分解的思想,从而产生可以有效处理的较小子问题。作者的主要目的是建立大脑的机械和电磁有限元模型。但是,它们的有限元网格也可以用于其他类型的有限元分析或可变形的体积模型中,以进行形状描述和形状比较。

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