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基于位移和基于力的映射网格划分的比较

Comparison of Displacement-Based and Force-Based Mapped Meshing.

作者信息

Magnotta Vincent A, Li Wen, Grosland Nicole M

机构信息

Department of Radiology, The University of Iowa, Iowa City, IA, 52242.

出版信息

Midas J. 2008 Aug 14;2008:629.

PMID:21552387
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3088872/
Abstract

The finite element (FE) method is a powerful tool for the study of biomechanics. One of the limiting factors in transitioning this tool into the clinic is the time required to generate high quality meshes for analysis. Previously, we developed a mapped meshing technique that utilized force control and a finite element solver to warp a template mesh onto subject specific surfaces. This paper describes a displacement based method that directly warps the template mesh onto subject specific surfaces using distance as the driving measure for the deformable registration. The resulting meshes were evaluated for mesh quality and compared to the force based method. An initial evaluation was performed using a mathematical phantom. The algorithm was then applied to generate meshes for the phalanx bones of the human hand. The algorithm successfully mapped the template bone to all of the bony surfaces, with the exception of the distal phalanx bone. In this one case, significant differences existed between the geometries of the template mesh and the distal phalanx. Further refinement of the algorithm may allow the algorithm to successfully generate meshes even in the presence of large geometric shape differences.

摘要

有限元(FE)方法是研究生物力学的有力工具。将该工具应用于临床的限制因素之一是生成用于分析的高质量网格所需的时间。此前,我们开发了一种映射网格划分技术,该技术利用力控制和有限元求解器将模板网格扭曲到特定个体的表面上。本文描述了一种基于位移的方法,该方法使用距离作为可变形配准的驱动度量,将模板网格直接扭曲到特定个体的表面上。对生成的网格进行了质量评估,并与基于力的方法进行了比较。首先使用数学模型进行了初步评估。然后将该算法应用于生成人手指骨的网格。该算法成功地将模板骨映射到了所有骨表面,但末节指骨除外。在这种情况下,模板网格和末节指骨的几何形状存在显著差异。进一步改进该算法可能会使其即使在存在较大几何形状差异的情况下也能成功生成网格。

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本文引用的文献

1
IA-FEMesh: an open-source, interactive, multiblock approach to anatomic finite element model development.IA - FEMesh:一种用于解剖有限元模型开发的开源、交互式、多块方法。
Comput Methods Programs Biomed. 2009 Apr;94(1):96-107. doi: 10.1016/j.cmpb.2008.12.003. Epub 2009 Jan 20.
2
Automated hexahedral meshing of anatomic structures using deformable registration.使用可变形配准对解剖结构进行自动六面体网格划分。
Comput Methods Biomech Biomed Engin. 2009 Feb;12(1):35-43. doi: 10.1080/10255840903065134.
3
A method for generating patient-specific finite element meshes for head modelling.一种用于头部建模生成患者特异性有限元网格的方法。
Phys Med Biol. 2003 Feb 21;48(4):481-95. doi: 10.1088/0031-9155/48/4/305.
4
Structural MR image processing using the BRAINS2 toolbox.使用BRAINS2工具箱进行结构磁共振图像处理。
Comput Med Imaging Graph. 2002 Jul-Aug;26(4):251-64. doi: 10.1016/s0895-6111(02)00011-3.
5
The mesh-matching algorithm: an automatic 3D mesh generator for finite element structures.网格匹配算法:一种用于有限元结构的自动三维网格生成器。
J Biomech. 2000 Aug;33(8):1005-9. doi: 10.1016/s0021-9290(00)00055-5.