עומרי אזנקוט

Tangent vector fields are prominent objects in geometry processing and are used in a myriad of applications, e.g., texture synthesis, fluid simulation and polygonal remeshing. It is, however, challenging to represent, analyze and synthesize tangent vector fields on discrete surfaces such as triangle meshes. The goal of this chapter is to review the use of linear operators for these tasks. We introduce the formulation, show the advantages and demonstrate the unique applications such a representation makes possible.