3 ms·
Geometric Algebra supporters keep advertising that rotors are great since they work in any dimension, which makes me wonder: would an arbitrary n-dimensional SV
by chombier 2y ago
Geometric Algebra supporters keep advertising that rotors are great since they work in any dimension, which makes me wonder: would an arbitrary n-dimensional SVD-like decomposition benefit from using rotors instead of rotation matrices, and if so how? And if not, why?
- thesz 2y agoThere are 2^n coefficients in the general GA transform (versor). One should be very, very careful dealing with GA versors of high dimensions.
- chombier 2y agoYes, but from the canonical form of rotation matrices [1] I would expect such matrices to be represented as a sum of bi-vectors/rotors, which should take the same amount of data? [1] https://en.wikipedia.org/wiki/Orthogonal_group#Canonical_form https://en.wikipedia.org/wiki/Orthogonal_group#Canonical_for...