This lecture covers the representation of 3D surfaces using Signed Distance Fields (SDF), which allow for easy topology changes compared to explicit surface meshes. The instructor explains the advantages of SDFs over traditional representations and introduces the concept of Deep Signed Distance Functions. Applications in fields like Computer Assisted Design and Medical Imaging are discussed, highlighting the potential for new developments. The lecture also touches on topics such as Single View Reconstruction and Heart Modeling, showcasing practical applications of the discussed concepts.