A geometrical approach for automatic shape restoration of the left ventricle.

A geometrical approach for automatic shape restoration of the left ventricle.
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一种几何方法,用于自动形状恢复左心室。

DOI:
10.1371/journal.pone.0068615
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发表时间:
2013
期刊:
影响因子:
3.7
通讯作者:
Tan RS
Tan RS
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Tan ML;Su Y;Lim CW;Selvaraj SK;Zhong L;Tan RS

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本文介绍了一种自动算法,使用几何驱动的优化方法来恢复三维(3D)左心室(LV)模型的形状创建的磁共振成像(MRI)数据。基本前提是恢复LV形状,使得LV心外膜表面在恢复后是光滑的,并且LV的一般形状特征不被改变。LV心外膜表面的最大主曲率()和最小主曲率()用于构造基于形状的优化目标函数,以通过双分辨率半刚性变形过程和自由形式几何变形过程来恢复运动影响的LV的形状。然后,使用有限记忆拟牛顿算法L-BFGS-B来求解优化问题。优化的目标是通过LV模型中顶点的迭代平面内和跨平面平移来实现平滑的心外膜形状。我们测试了我们的算法上的30套LV模型与模拟运动伪影从一个非常顺利的患者样本,并在体内患者特定的模型,其中包含显着的运动伪影。在30个模拟样本中,恢复后相对于Ground Truth的Hausdorff距离显著减小,这表明该算法可以恢复受运动影响的LV模型的几何精度。在20个体内患者特定模型中,结果表明,我们的方法能够在不改变模型的一般形状的情况下恢复LV模型的形状。面内平移的幅度也与现有的注册技术和实验结果一致。
This paper describes an automatic algorithm that uses a geometry-driven optimization approach to restore the shape of three-dimensional (3D) left ventricular (LV) models created from magnetic resonance imaging (MRI) data. The basic premise is to restore the LV shape such that the LV epicardial surface is smooth after the restoration and that the general shape characteristic of the LV is not altered. The Maximum Principle Curvature () and the Minimum Principle Curvature () of the LV epicardial surface are used to construct a shape-based optimization objective function to restore the shape of a motion-affected LV via a dual-resolution semi-rigid deformation process and a free-form geometric deformation process. A limited memory quasi-Newton algorithm, L-BFGS-B, is then used to solve the optimization problem. The goal of the optimization is to achieve a smooth epicardial shape by iterative in-plane and through-plane translation of vertices in the LV model. We tested our algorithm on 30 sets of LV models with simulated motion artifact generated from a very smooth patient sample, and 20 in vivo patient-specific models which contain significant motion artifacts. In the 30 simulated samples, the Hausdorff distances with respect to the Ground Truth are significantly reduced after restoration, signifying that the algorithm can restore geometrical accuracy of motion-affected LV models. In the 20 in vivo patient-specific models, the results show that our method is able to restore the shape of LV models without altering the general shape of the model. The magnitudes of in-plane translations are also consistent with existing registration techniques and experimental findings.
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