2 citations · 2 across the 4 of their papers we have counts for
4 papers · 1 filter
Connecting spatial and frequency domains for the quaternion Fourier transform
Hendrik De Bie, Nele De Schepper, Todd A. Ell +2
The quaternion Fourier transform (qFT) is an important tool in multi-dimensional data analysis, in particular for the study of color images. An important problem when applying the…
Convolution products for hypercomplex Fourier transforms
Roxana Bujack, Hendrik De Bie, Nele De Schepper +1
Hypercomplex Fourier transforms are increasingly used in signal processing for the analysis of higher-dimensional signals such as color images. A main stumbling block for further a…
The fractional Clifford-Fourier transform
Hendrik De Bie, Nele De Schepper
In this paper, a fractional version of the Clifford-Fourier transform is introduced, depending on two numerical parameters. A series expansion for the kernel of the resulting integ…
The class of Clifford-Fourier transforms
H. De Bie, N. De Schepper, F. Sommen
Recently, there has been an increasing interest in the study of hypercomplex signals and their Fourier transforms. This paper aims to study such integral transforms from general pr…