Design Space Exploration of Parallel Embedded Architectures for Native Clifford Algebra Operations

Abstract

Clifford (geometric) algebra is a natural and intuitive way to model geometric objects and their transformations. It has important applications in a variety of fields, including robotics, machine vision and computer graphics, where it has gained a growing interest. This paper presents the design space exploration of parallel embedded architectures that natively support Clifford algebra with different costs, performance and precision. Results show an effective 5x average speedup for Clifford products compared with a software library developed specifically for Clifford algebra.