The Logarithm of a Rotor

Last week, I talked about how to interpolate rotors. But to do that, you need to know how to exponentiate bivectors and find the logarithm of rotors! I covered the exponentiation part a while ago: https://www.youtube.com/shorts/YnzQBC5zx9U. In this short, I show how to calculate logarithms of rotors.

The idea in this short is based on a paper by Roelfs and De Keninck, and a preprint for the paper, including algorithms for finding these simple commuting decompositions, can be found here: https://arxiv.org/abs/2107.03771

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Видео The Logarithm of a Rotor канала sudgylacmoe