Persistence diagrams for exploring the shape variability of abdominal aortic aneurysms
arxiv(2024)
摘要
Abdominal Aortic Aneurysm consists of a permanent dilation in the abodminal
portion of the aorta and, along with its associated pathologies like
calcifications and intraluminal thrombi, is one of the most important
pathologies of the circulatory system. The shape of the aorta is among the
primary drivers for these health issues, with particular reference to all the
characteristics which affects the hemodynamics. Starting from the computed
tomography angiography of a patient, we propose to summarize such information
using tools derived from Topological Data Analysis, obtaining persistence
diagrams which describe the irregularities of the lumen of the aorta. We
showcase the effectiveness of such shape-related descriptors with a series of
supervised and unsupervised case studies.
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