Have you considered researching the 3D Conformal Geometric Algebra $\mathbb{G}(4, 1, 0)$? The same transformations can be obtained by “sandwiching” an object with a motor, which is the composition of a rotor and a translator. This algebra allows for additional advantages, for example it can represent objects such as lines and spheres that you can perform the “meet” operation on to find their intersection.
i am going through your thesis , from two two weeks, god sent your videos .
Have you considered researching the 3D Conformal Geometric Algebra $\mathbb{G}(4, 1, 0)$? The same transformations can be obtained by “sandwiching” an object with a motor, which is the composition of a rotor and a translator. This algebra allows for additional advantages, for example it can represent objects such as lines and spheres that you can perform the “meet” operation on to find their intersection.
Parabéns pela ótima palestra Bruno. Eu trabalhei com quaternions na minha tese de doutorado
Obrigado!
Você conhece projective geometric algebra?