26 citations · 35 across the 14 of their papers we have counts for
4 papers · 1 filter
Fractional Riesz-Hilbert transforms and fractional monogenic signals
Swanhild Bernstein
The fractional Hilbert transforms plays an important role in optics and signal processing. In particular the analytic signal proposed by Gabor has as a key component the Hilbert tr…
Crystallographic and geodesic Radon transforms on SO(3): motivation, generalization, discretization
Swanhild Bernstein, Isaac Z. Pesenson
In this paper we consider the so-called crystallographic Radon transform (or crystallographic -ray transform) and totally geodesic Radon transform on the group of rotations SO(3…
Diffusive wavelets on the Spin group
Swanhild Bernstein, Svend Ebert, Franciscus Sommen
The first part of this article is devoted to a brief review of the results about representation theory of the spin group Spin(m) from the point of view of Clifford analysis. In the…
Generalized splines for Radon transform on compact Lie groups with applications to crystallography
Swanhild Bernstein, Svend Ebert, Isaac Z. Pesenson
The Radon transform Rf of functions f on SO(3) has recently been applied extensively in texture analysis, i.e. the analysis of preferred crystallographic orientation. In practice o…