5 citations · 18 across the 7 of their papers we have counts for
7 papers
Towards a Quality Indicator for Research Data publications and Research Software publications -- A vision from the Helmholtz Association
Wolfgang zu Castell, Doris Dransch, Guido Juckeland +11
Research data and software are widely accepted as an outcome of scientific work. However, in comparison to text-based publications, there is not yet an established process to asses…
A direct solver for the phase retrieval problem in ptychographic imaging
Nada Sissouno, Florian Boßmann, Frank Filbir +5
Measurements achieved with ptychographic imaging are a special case of diffraction measurements. They are generated by illuminating small parts of a sample with, e.g., a focused X-…
Thinplate Splines on the Sphere
Rick K. Beatson, Wolfgang zu Castell
In this paper we give explicit closed forms for the semi-reproducing kernels associated with thinplate spline interpolation on the sphere. Polyharmonic or thinplate splines for ${\…
One-Step Recurrences for Stationary Random Fields on the Sphere
R. K. Beatson, W. zu Castell
Recurrences for positive definite functions in terms of the space dimension have been used in several fields of applications. Such recurrences typically relate to properties of the…
Dimension hopping and families of strictly positive definite zonal basis functions on spheres
R. K. Beatson, W. zu Castell
Positive definite functions of compact support are widely used for radial basis function approximation as well as for estimation of spatial processes in geostatistics. Several cons…
A Pólya criterion for (strict) positive definiteness on the sphere
R. K. Beatson, W. zu Castell, Y. Xu
Positive definite functions are very important in both theory and applications of approximation theory, probability and statistics. In particular, identifying strictly positive def…
Polynomial Interpolation on the Unit Sphere II
Wolfgang zu Castell, Noemi Lain Fernandez, Yuan Xu
The problem of interpolation at points on the unit sphere by spherical polynomials of degree at most is proved to have a unique solution for several se…