GAPPCO: An Easy to Configure Geometric Algebra Coprocessor Based on GAPP Programs

An embedded, FPGA-based computer graphics coprocessor with native geometric algebra support

The representation of geometric objects and their transformation are the two key aspects in computer graphics applications. Traditionally, computer-intensive matrix calculations are involved in modeling and rendering three-dimensional (3D) scenery. Geometric algebra (aka Clifford algebra) is attracting attention as a natural way to model geometric facts and as a powerful analytical tool for sym...

Pose estimation based on Geometric Algebra

2D-3D pose estimation is an important task for computer vision, ranging from robot navigation to medical intervention. In such applications as robot guidance, the estimation procedure should be fast and automatic, but in industrial metrology applications, the precision is typically a more important factor. In this paper, a new 3D approach for infrared data visualization precisely with the help ...

An Introduction to Geometric Algebra and Calculus

Introduction to Pauli Geometric Algebra

Physics Markup Approaches Based on Geometric Algebra Representations

This paper presents an approach for a physics markup language using Geometric Algebra which is a unifying language for the mathematics of physics and is useful in an exceptionally wide range of physics problems, particularly those that involve rotations, phases or imaginary numbers. MathML and OpenMath are discussed as potential ways to implement a markup system. Using OpenMath, content diction...