288 citations · 819 across the 38 of their papers we have counts for
39 papers
Novel computational workflows for natural and biomedical image processing based on hypercomplex algebras
Nektarios A. Valous, Eckhard Hitzer, Dragoş Duşe +12
Hypercomplex image processing extends conventional techniques in a unified paradigm encompassing algebraic and geometric principles. This work leverages quaternions and the two-dim…
Generalized Uncertainty Principles associated with the Quaternionic Offset Linear Canonical Transform
Youssef El Haoui, Said Fahlaoui, Eckhard Hitzer
The quaternionic offset linear canonical transform (QOLCT) can be thought as a generalization of the quaternionic linear canonical transform (QLCT). In this paper we define the QOL…
Detection of Outer Rotations on 3D-Vector Fields with Iterative Geometric Correlation and its Efficiency
Roxana Bujack, Gerik Scheuermann, Eckhard Hitzer
Correlation is a common technique for the detection of shifts. Its generalization to the multidimensional geometric correlation in Clifford algebras has been proven a useful tool f…
Detection of Total Rotations on 2D-Vector Fields with Geometric Correlation
Roxana Bujack, Gerik Scheuermann, Eckhard Hitzer
Correlation is a common technique for the detection of shifts. Its generalization to the multidimensional geometric correlation in Clifford algebras additionally contains informati…
Detection of Outer Rotations on 3D-Vector Fields with Iterative Geometric Correlation
Roxana Bujack, Gerik Scheuermann, Eckhard Hitzer
Correlation is a common technique for the detection of shifts. Its generalization to the multidimensional geometric correlation in Clifford algebras has proven a useful tool for co…
A General Geometric Fourier Transform Convolution Theorem
Roxana Bujack, Gerik Scheuermann, Eckhard Hitzer
The large variety of Fourier transforms in geometric algebras inspired the straight forward definition of ``A General Geometric Fourier Transform`` in Bujack et al., Proc. of ICCA9…