Abstract
Geometric algebras of dimension are becoming increasingly popular for the modeling of 3D and 3 + 1D geometry. With this increased popularity comes the need for efficient algorithms for common operations such as normalization, square roots, and exponential and logarithmic maps. The current work presents a signature‐agnostic analysis of these common operations in all geometric algebras of dimension and gives efficient numerical implementations in the most popular algebras , and , in the hopes of lowering the threshold for adoption of geometric algebra solutions by code maintainers.
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