Aortic dissection is a life-threatening vascular disease characterized by abrupt formation of a new flow channel (false lumen) within the aortic wall. Survivors of the acute phase remain at high risk for late complications, such as aneurysm formation, rupture, and death. Morphologic features of aortic dissection determine not only treatment strategies in the acute phase (surgical vs. endovascular vs. medical), but also modulate the hemodynamics in the false lumen, ultimately responsible for late complications. Accurate description of the true and false lumen, any communications across the dissection membrane separating the two lumina, and blood supply from each lumen to aortic branch vessels is critical for risk prediction. Patient-specific surface representations are also a prerequisite for hemodynamic simulations, but currently require time-consuming manual segmentation of CT data. We present an aortic dissection cross-sectional model that captures the varying aortic anatomy, allowing for reliable measurements and creation of high-quality surface representations. In contrast to the traditional spline-based cross-sectional model, we employ elliptic Fourier descriptors, which allows users to control the accuracy of the cross-sectional contour of a flow channel. We demonstrate (i) how our approach can solve the requirements for generating surface and wall representations of the flow channels, (ii) how any number of communications between flow channels can be specified in a consistent manner, and (iii) how well branches connected to the respective flow channels are handled. Finally, we discuss how our approach is a step forward to an automated generation of surface models for aortic dissections from raw 3D imaging segmentation masks.

中文翻译：

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使用椭圆傅立叶描述符对患者特异性主动脉夹层进行隐式建模

主动脉夹层是一种危及生命的血管疾病，其特征是在主动脉壁内突然形成新的流动通道（假腔）。急性期的幸存者仍然处于晚期并发症的高风险中，例如动脉瘤形成、破裂和死亡。主动脉夹层的形态特征不仅决定了急性期的治疗策略（手术、血管内或药物），而且还调节假腔中的血流动力学，最终导致晚期并发症。准确描述真假腔、穿过分隔两个腔的夹层膜的任何通信以及从每个腔到主动脉分支血管的血液供应对于风险预测至关重要。患者特定的表面表征也是血液动力学模拟的先决条件，但目前需要耗时的手动分割 CT 数据。我们提出了一个主动脉夹层横截面模型，该模型捕获了不同的主动脉解剖结构，允许进行可靠的测量和创建高质量的表面表示。与传统的基于样条的横截面模型相比，我们采用椭圆傅立叶描述符，允许用户控制流道横截面轮廓的准确性。我们演示了 (i) 我们的方法如何解决生成流动通道的表面和壁面表示的要求，(ii) 如何以一致的方式指定流动通道之间的任意数量的通信，以及 (iii) 分支连接的程度到各自的流道被处理。最后，