Abstract: I will discuss the central model of computational anatomy, the study of anatomical shapes and form via the group action of diffeomorphisms. We will attempt to show two applications (time permitting), the first using the diffeomorphisms to define a Geodesic Positioning System at the heart of www.MRICloud.org, a data science application for indexing pediatric and geriatric brains, and the second using the diffeomorphisms to study Alzheimer’s disease in a population of 360 pre-clinical subjects examined since 1995. We will show (time permitting) how geodesics in the group reveal the generalized Euler-Equation (1755), generalized for compressibility and representing growth and form.

Michael Miller is a biomedical engineer and pattern theorist, whose research interests focus on computational anatomy for brain mapping within the field of Medical imaging. He is the Massey Professor and Director, Department of Biomedical Engineering, Director of Center for Imaging Science and Co-Director, Kavli Neuroscience Discovery Institute at Johns Hopkins University Gilman Scholar