4 ms·
You work with 4x4 (in 3D space) matrices, with a specific form (a row/columb of 1’s). The affine part of a projective transformation. All this GA stuff is OK b
by pfortuny 6y ago
You work with 4x4 (in 3D space) matrices, with a specific form (a row/columb of 1’s). The affine part of a projective transformation.
All this GA stuff is OK but what is the problem with matrices of affine transformations?
- enkimute 6y agoa selection: - no closed form exponential/logarithm (i.e. cant interpolate) - no numerical stability for subgroups (i.e. need Gramm-Shmidt, SVD) - no covariant transformations (i.e. need adjugate to transform axial vectors) - no geometric construction. (e.g. in GA product of two elements is (square of) versor between them) - costly inverses (just some sign swaps in GA)