Shape Analysis In Medical Imaging

形状分析是医学成像的基础。这项研究旨在探索和开发几何学在阐述影响大脑形态的疾病的基于形状的生物标记物方面的作用。其具体目标是(I)开发基于形状的模型来量化大脑结构中几何和拓扑的多尺度变化，(Ii)开发统计框架来将不同种类的数据集与未标记的神经成像数据相结合，以及(Iii)确定脑萎缩的形状动态以确定神经退化的风险。形状分析方面的这些进展将提供一系列新的基于形状的生物标记物，利用大部分未被探索的医学成像数据发现更小的解剖学细节。

Shape analysis is fundamental to medical imaging. This research aims to explore and exploit the role of geometry in the elaboration of shape-based biomarkers for diseases affecting brain morphology. The specific objectives are to (i) develop shape-based models to quantify multiscale variations of geometry and topology in brain structures, (ii) develop statistical frameworks to combine heterogeneous datasets with unlabeled neuroimaging data, and (iii) determine shape dynamics in brain atrophy to identify a risk of neurodegeneration. These advances in shape analysis will provide a new family of shape-based biomarkers, discovering much smaller details of anatomy using largely unexplored medical imaging data.