arXiv 1812.034342018-12-09cs.CGcs.CVcs.NAmath.NAphysics.med-phq-bio.QM

利用密度相等参考图进行3D超声颈动脉图像的面积保持映射

Area-preserving mapping of 3D ultrasound carotid artery images using density-equalizing reference map

Mathematics Group, Lawrence Berkeley National Laboratory（伯克利国家实验室数学组）

Gary P. T. Choi, Bernard Chiu, Chris H. Rycroft

发表信息：: IEEE Transactions on Biomedical Engineering, 67(9), 1507-1517 (2020)
DOI：: 10.1109/TBME.2019.2963783

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AI总结：

本文提出了一种新的密度相等参考图（DERM）方法，用于将3D颈动脉表面映射到标准化的2D颈动脉模板，重点是通过最小化局部面积变形来保持局部几何结构，从而提高对血管壁加斑块厚度（VWT）的定量监测和比较能力。

摘要：

颈动脉动脉粥样斑块是一种发生在颈动脉分叉处的局部疾病。为了定量监测血管壁加斑块厚度（VWT）的局部变化，并比较不同患者或同一患者在不同超声扫描会话中的VWT分布，需要一种映射技术来调整不同颈动脉模型的几何变化。在本工作中，我们提出了一种新的方法，称为密度相等参考图（DERM），用于将3D颈动脉表面映射到标准化的2D颈动脉模板，重点是通过最小化局部面积变形来保持颈动脉表面的局部几何结构。初始映射是由之前描述的弧长缩放（ALS）映射方法生成的，该方法将3D颈动脉表面投影到2D非凸L形域。随后通过变形ALS映射，利用所提出的结合密度相等映射和参考映射技术的算法，构建出平滑且面积保持的扁平化映射。这种结合使首次实现了将3D表面映射到标准化的非凸平面域的1:1映射，且以面积保持的方式。使用20个颈动脉表面模型的评估显示，与ALS映射方法相比，所提出的方法将扁平化映射的面积变形减少了超过80%。

英文摘要：

Carotid atherosclerosis is a focal disease at the bifurcations of the carotid artery. To quantitatively monitor the local changes in the vessel-wall-plus-plaque thickness (VWT) and compare the VWT distributions for different patients or for the same patients at different ultrasound scanning sessions, a mapping technique is required to adjust for the geometric variability of different carotid artery models. In this work, we propose a novel method called density-equalizing reference map (DERM) for mapping 3D carotid surfaces to a standardized 2D carotid template, with an emphasis on preserving the local geometry of the carotid surface by minimizing the local area distortion. The initial map was generated by a previously described arc-length scaling (ALS) mapping method, which projects a 3D carotid surface onto a 2D non-convex L-shaped domain. A smooth and area-preserving flattened map was subsequently constructed by deforming the ALS map using the proposed algorithm that combines the density-equalizing map and the reference map techniques. This combination allows, for the first time, one-to-one mapping from a 3D surface to a standardized non-convex planar domain in an area-preserving manner. Evaluations using 20 carotid surface models show that the proposed method reduced the area distortion of the flattening maps by over 80% as compared to the ALS mapping method.

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