abstract: The talk summarizes two decades of research in the esciting area of vector and tensor field tomography. In 1988 Norton published an article where he describes the possibility to reconstruct 2D flow fields. Four years later Juhlin suggests a geometry for a complete reconstruction of 3D velocity fields. This was the starting point for the application of mollifier methods leading to efficient and stable solvers. A current challenge is the development of inversion methods for arbitrary source curves. The talk subsumes the development of reconstruction methods and convergence results from the very beginning down to the present day.
schuster.pdf