Kernel density estimation on the rotation group and its application to crystallographic texture analysis. - Ralf Hielscher (J. Multivar. Anal., 2013)

Fast Global Optimization on the Torus, the Sphere, and the Rotation Group. - Manuel Gräf; Ralf Hielscher (SIAM J. Optim., 2015)

Optimality of Cross-validation in Scattered Data Approximation. - Felix Bartel; Ralf Hielscher (CoRR, 2021)

Locally isometric embeddings of quotients of the rotation group modulo finite symmetries. - Ralf Hielscher; Laura Lippert (J. Multivar. Anal., 2021)

Concentration inequalities for cross-validation in scattered data approximation. - Felix Bartel; Ralf Hielscher (J. Approx. Theory, 2022)

An Image Registration Model in Electron Backscatter Diffraction. - Manuel Gräf; Sebastian Neumayer; Ralf Hielscher; Gabriele Steidl; Moritz Liesegang; Tilmann Beck (SIAM J. Imaging Sci., 2022)

Marcinkiewicz-Zygmund inequalities for scattered and random data on the q-sphere. - Frank Filbir; Ralf Hielscher; Thomas Jahn; Tino Ullrich (CoRR, 2023)

Approximating the derivative of manifold-valued functions. - Ralf Hielscher; Laura Lippert (J. Approx. Theory, 2023)

An optimal ansatz space for moving least squares approximation on spheres. - Ralf Hielscher; Tim Pöschl (Adv. Comput. Math., 2024)