This course focuses on geometric computational methods for image and shape understanding. We will investigate topics such as shape reconstruction, point-wise matching, shape similarity, intrinsic symmetry, distance measurement on shapes and minimal geodesics and invariant signatures of shapes. The focus would be to use tools from differential and metric geometry, numerical analysis, calculus of variations and mathematical morphology to formulate and solve problems in computer vision and shape processing. Finally, we will relate geometric computational methods to deep learning methodologies.
Credit Points: 3.0