This course focusses on geometric computational methods for image and shape understanding. We investigate topics such as shape reconstruction, color image enhancement, image segmentation, edge detection, efficient computation of symmetry axis, minimal geodesics and invariant signatures of shapes. The focus would be to use tools from differential geometry, metric geometry, numerical analysis, calculus of variations and mathematical morphology to formulate and solve some of these problems in computer vision and shape processing. Finally, we will also connect these geometric computational methods to modern learning systems like neural networks and deep learning.

Credit Points: 3.0