Functional Tracing of Discrete Vector Fields

Yair Reani, M.Sc. Thesis Seminar
Wednesday, 8.1.2020, 16:00
Room 337 Taub Bld.
Prof. M. Ben-Chen

We propose a method for tracing the flowlines of a discrete tangent vector field on a triangle mesh. Our method makes use of functional vector fields, namely modeling of vector fields as operators acting on functions. In particular, we use the recently proposed adjoint representations of directional derivatives. Our method is characterized by making use of mostly global solutions, as opposed to iterative local algorithms that trace the vector triangle-by-triangle. We compare our approach to analytical solutions in cases where these are known, and to an iterative tracing algorithm. Finally we use our method for the simple, robust and efficient visualization of discrete tangent vector fields on triangle meshes.

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