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

Ulrich Hartmann, F. Kruggel
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引用次数: 37

Abstract

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.
从磁共振层析图生成大型四面体三维有限元网格的快速算法
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。由于他们在认知神经科学方面的背景,作者处理高达256/sup /体素的大脑MR断层图,其中包含大量不完全可定义的复杂形状的物体。作者描述了一种算法,该算法允许快速稳定地创建具有明确几何属性的超大3D网格。在标准工作站上,可在几分钟内完成生成多达一百万个四面体的各向异性网格的任务。由于四面体的角度对有限元分析的稳定性有直接的影响,因此对单元质量的评定要特别注意。作者的算法是基于基于图像的问题域空间分解的思想,产生可以有效处理的更小的子问题。作者的主要目的是建立大脑的机械和电磁有限元模型。然而,他们的有限元网格也可以用于其他类型的有限元分析或作为形状描述和形状比较的可变形体积模型。
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