Eckhard Hitzer

Geometric algebra integral transforms and their applications

Abstract In geometric algebra (GA), real and complex integral transforms (Fourier transforms, linear canonical transforms (LCTs), wavelets, fractional Fourier transforms, special affine Fourier transforms, etc.) can be generalized to holistic higher-dimensional quaternionic, octo...

Overview of W. K. Clifford's geometric algebras

Abstract This paper presents the very basics of W. K. Clifford's geometric algebras (GAs), which encompass Euclidean GA, as well as of the most important ones for engineering, graphics, virtual reality, signal processing, encryption, neural networks (deep learning), crystallograp...