MA595, Geometry and Learning for Manifold-structured Data

Course Information:


Processing and analyzing data in 3D and higher dimensions are crucial topics in many fields, such as computer vision, 3D modeling, and medical image analysis. The topics of this course include fundamental concepts of differential manifolds, computation of basic geometric quantities, numerical methods for solving variational PDEs on Riemannian manifolds, geometric deep learning-based methods for manifold-structured data, as well as their applications in shape classification, recognition, and generation.