79 citations · 135 across the 19 of their papers we have counts for
20 papers
Fast and Stable Harmonic Approximation from Ill-distributed Data using Moving Least Squares
Ralf Hielscher, Tim Pöschl, Erik Wünsche
We consider harmonic approximation on the torus , the sphere , and the rotation group . While several global approaches are available f…
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…
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…
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…
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…
Habit plane determination from reconstructed parent phase orientation maps
Tuomo Nyyssonen, Azdiar A. Gazder, Ralf Hielscher +1
This study details the development and validation of a new algorithm that determines the dominant habit plane of a transformed child phase from orientation maps of a single planar…