Cobiveco: Consistent biventricular coordinates for precise and intuitive description of position in the heart - with MATLAB implementation
Cobiveco: Consistent biventricular coordinates for precise and intuitive description of position in the heart - with MATLAB implementation
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DOI：
10.1016/j.media.2021.102247
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发表时间：
2021-09-27
影响因子：
10.9
通讯作者：
Loewe, Axel
中科院分区：
文献类型：
--
作者：
Schuler, Steffen;Pilia, Nicolas;Loewe, Axel
心室坐标被广泛用作各种应用的通用工具，这些应用受益于心脏内局部位置的描述。然而，心室坐标的实际有用性取决于其满足特定应用要求的能力。例如，对于双心室位置的基于回归的估计，两个心室中的坐标方向的对称定义是重要的。对于作为另一个用例的不同心脏之间的数据传输，跨不同几何结构的坐标值的一致性特别相关。为了满足这些要求，我们比较了不同的方法来计算坐标，并提出了Cobiveco，一个对称的，一致的和直观的双心室坐标系统，建立在现有的坐标系统，但克服了他们的一些局限性。引入了一种新的单向传递误差来评估坐标的一致性。发现两个边界之间沿沿着双射轨迹的归一化距离上级于用于定义坐标值的拉普拉斯方程的解，因为它们在空间中显示出更好的线性。对36例患者几何形状的转移和线性误差进行评价，结果显示，与最先进的方法相比，改善了4倍以上。最后，我们展示了两个应用程序的例子下衬的心脏数据处理的相关性。Cobiveco MATLAB代码在许可的开源许可下提供。(c)2021爱思唯尔有限公司版权所有。
Ventricular coordinates are widely used as a versatile tool for various applications that benefit from a de-scription of local position within the heart. However, the practical usefulness of ventricular coordinates is determined by their ability to meet application-specific requirements. For regression-based estimation of biventricular position, for example, a symmetric definition of coordinate directions in both ventricles is important. For the transfer of data between different hearts as another use case, the consistency of coordinate values across different geometries is particularly relevant. To meet these requirements, we compare different approaches to compute coordinates and present Cobiveco, a symmetric, consistent and intuitive biventricular coordinate system that builds upon existing coordinate systems, but overcomes some of their limitations. A novel one-way transfer error is introduced to assess the consistency of the coordinates. Normalized distances along bijective trajectories between two boundaries were found to be superior to solutions of Laplace's equation for defining coordinate values, as they show better linearity in space. Evaluation of transfer and linearity errors on 36 patient geometries revealed a more than 4-fold improvement compared to a state-of-the-art method. Finally, we show two application examples under -lining the relevance for cardiac data processing. Cobiveco MATLAB code is available under a permissive open-source license. (c) 2021 Elsevier B.V. All rights reserved.