2019/11/18 by Laurent Younès, Younes, Laurent, Kwame S. Kutten +3
Computer Science · Medicine · Neuroscience · #Advanced Neuroimaging Techniques and Applications #FOS: Mathematics #Functional Brain Connectivity Studies #Medical Image Segmentation Techniques #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.1911.07999
openalex publication_date 2019/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe coordinate systems adapted for the space between two surfaces, such as those delineating the highly folded cortex in mammalian brains. These systems are estimated in order to satisfy geometric priors, including streamline normality or equivolumetric conditions on layers. We give a precise mathematical formulation of these problems, and present numerical simulations based on diffeomorphic registration methods, comparing them with recent approaches.