18 May
2016
18 May
'16
3:40 p.m.
I think that refers to finding a continuous map from SO(n) to the torus T^N = (S^1)^N (N = (n^2-n)/2) of the same dimension (where S^1 is the unit circle), such that the angles in the torus, when plugged into Givens rotations in a fixed order of indices, give the same element of SO(n) that one started with. (The problem, when this does not happen in 3D, is called gimbal lock.) —Dan
On May 18, 2016, at 2:29 PM, Fred Lunnon <fred.lunnon@gmail.com> wrote:
The Wikipedia page paragraph "Stable calculation" discusses tinkering with the sign of the rotation angle in order to ensure "continuity". Does anyone understand what this is about?