Computational geometry for patient-specific reconstruction and meshing of blood vessels from MR and CT angiography
Computational geometry for patient-specific reconstruction and meshing of blood vessels from MR and CT angiography
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DOI：
10.1109/tmi.2003.812261
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发表时间：
2003-05-01
影响因子：
10.6
通讯作者：
Remuzzi, A
中科院分区：
文献类型：
--
作者：
Antiga, L;Ene-Iordache, B;Remuzzi, A
研究人体动脉的三维几何和流体动力学是血管疾病表征和评估的重要问题。由于磁共振（MR）和计算机断层扫描（CT）的最新进展，现在有可能解决针对患者的血管建模问题，以便考虑到血管系统的个体间解剖变异性。适用于计算流体动力学的模型的生成通常仍然是通过半自动程序来完成的，通常是基于操作员依赖的任务，这很难扩展到大量的临床病例。在本文中，我们利用计算几何技术克服了这些限制。特别是采用三维水平集方法进行三维建模。对模型进行编辑，保证了平均曲率矢量在曲面上的谐波分布，并采用基于Voronoi图求解Eikonal方程的新方法对模型进行几何分析。该方法提供了中心路径的计算、最大内切球的估计和曲面的几何表征。最后给出了自适应厚度边界层有限元的生成方法。本文介绍的技术的使用使得在临床水平上引入患者特异性血管建模成为可能。
Investigation of three-dimensional (3-D) geometry and fluid-dynamics in human arteries is an important issue in vascular disease characterization and assessment. Thanks to recent advances in magnetic resonance (MR) and computed tomography (CT), it is now possible to address the problem of patient-specific modeling of blood vessels, in order to take into account interindividual anatomic variability of vasculature. Generation of models suitable for computational fluid dynamics is still commonly performed by semiautomatic procedures, in general based on operator-dependent tasks, which cannot be easily extended to a significant number of clinical cases. In this paper, we overcome these limitations making use of computational geometry techniques. In particular, 3-D modeling was carried out by means of 3-D level sets approach. Model editing was also implemented ensuring harmonic mean curvature vectors distribution on the surface, and model geometric analysis was performed with a novel approach, based on solving Eikonal equation on Voronoi diagram. This approach provides calculation of central paths, maximum inscribed sphere estimation and geometric characterization of the surface. Generation of adaptive-thickness boundary layer finite elements is finally presented. The use of the techniques presented here makes it possible to introduce patient-specific modeling of blood vessels at clinical level.