Applications of Clifford's Geometric Algebra

TL;DR

This paper surveys the development and diverse engineering applications of Clifford's geometric algebra over the past 15 years, highlighting its unified framework benefits across multiple fields.

Contribution

It provides a comprehensive overview of recent applications of Clifford's geometric algebra, emphasizing its versatility and advantages in various engineering domains.

Findings

Demonstrates the broad applicability of geometric algebra in engineering

Highlights specific applications in quantum computing, electromagnetism, and robotics

Shows the benefits of a unified algebraic and geometric framework

Abstract

We survey the development of Clifford's geometric algebra and some of its engineering applications during the last 15 years. Several recently developed applications and their merits are discussed in some detail. We thus hope to clearly demonstrate the benefit of developing problem solutions in a unified framework for algebra and geometry with the widest possible scope: from quantum computing and electromagnetism to satellite navigation, from neural computing to camera geometry, image processing, robotics and beyond.