Geometric Algebra (GA) has proven to be an advanced language for mathematics, physics,
computer science, and engineering. This review presents a comprehensive study of works …

Geometric Algebra has the power to lead easily from the geometric intuition of solving an
engineering application to its efficient implementation on current and future computing …

Despite the fact that images constitute the main objects in computer vision and image
analysis, there is remarkably little concern about their actual definition. In this book a …

This book offers a gentle introduction to Clifford geometric algebra, an advanced
mathematical framework, for applications in perception action systems. Part I, is written in an …

We discuss a coordinate-free approach to the geometry of computer vision problems. The
technique we use to analyse the three-dimensional transformations involved will be that of …

In this paper we apply the Clifford geometric algebra for solving problems of visually guided
robotics. In particular, using the algebra of motors we model the 3D rigid motion …

Almost all presentations of Dirac theory in first or second quantization in physics (and
mathematics) textbooks make use of covariant Dirac spinor fields. An exception is the …

Many concepts that are used in multi-dimensional signal processing are derived from one-
dimensional signal processing. As a consequence, they are only suited to multi-dimensional …

We present geometric algebra as system for analysing the geometry of multiple-view
images. The power of this approach is illustrated by giving purely geometric derivations of …

In computer graphics and robotics a lot of different mathematical systems like vector algebra,
homogenous coordinates, quaternions or dual quaternions are used for different …