Dietmar Hildenbrand

Generative geospatial modelling with geometric algebra

Abstract The integration of data-driven and knowledge-driven approaches in generative geospatial modelling (GGM) is often hindered by their mathematical incompatibilities. Here, we propose a geometric algebra (GA)-based framework that employs a unified multi-vector representation...

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...

Geometric algebra: an overview about different implementation representations and memory requirements

Abstract Several implementations of geometric algebra are available, and many have been approved in the past and can be found in various software codes. For low-dimensional algebras, representations as a sum of basis blades are typically the most suitable. However, isomorphic or...