4 ms·
Is there a connection to geometric algebra here? The similarity of the final result to the geometric product (a dot b + a cross b) seems like it can't just be
by panic 8y ago
Is there a connection to geometric algebra here? The similarity of the final result to the geometric product (a dot b + a cross b) seems like it can't just be a coincidence.
- mattnewport 8y agoYes, a quaternion is basically equivalent to a rotor in geometric algebra which is the geometric product of two vectors from what I remember.
- mattnewport 8y agoMore specifically, the rotor that rotates (unit) vector a to vector b is the geometric product of a and the half angle vector between a and b. Barring a sign change that works out equivalent to the quaternion given in the article.
- grondilu 8y agoCheck out my implementation of a trackball with GA : http://grondilu.github.io/cube.html http://grondilu.github.io/cube.html