4 papers
A Harmonic Framework for Vector Fields and Differential Operators on SO(3)
Ralf Hielscher, Erik Wünsche
We present a comprehensive framework for tangent vector fields and differential operators on the rotation group using harmonic series expansions, which provides a…
On the Role of the Double Fourier Sphere Method in Fast Algorithms on SO(3)
Ralf Hielscher, Erik Wünsche
We analyze the Double Fourier Sphere (DFS) method on the rotation group in the frequency domain and demonstrate its central role in fast algorithms. Fast Fourier…
A unified framework for grain boundary distributions in textured materials
Ralf Hielscher, Rüdiger Kilian, Erik Wünsche +1
Grain boundary plane distributions are widely used to infer the mechanisms governing grain boundary formation in polycrystalline materials. We show that such interpretations are in…
An Optimal Ansatz Space for Moving Least Squares Approximation on Spheres
Ralf Hielscher, Tim Pöschl
We revisit the moving least squares (MLS) approximation scheme on the sphere , where . It is well known that using the spherical harmonics…