In this course, taught by Adrian Butscher and Justin Solomon, we will present both continuous and discrete aspects of the differential geometry toolbox with an eye for applications in computer science. Differential geometry appears in a broad variety of applications, including graphics, medical imaging, vision, and learning. We will present parallel threads introducing concepts from the differential geometry of surfaces (curvature, deformation, differentiation, differential equations, mapping) and their corresponding discretizations and applications.
The only necessary background is math at the level of Math 52 and coding experience. Assignments will include some written problems and some Matlab programming.