geodesic_info {tourr} | R Documentation |
Calculate information required to interpolate along a geodesic path between two frames.
Description
The methdology is outlined in http://www-stat.wharton.upenn.edu/~buja/PAPERS/paper-dyn-proj-algs.pdf and http://www-stat.wharton.upenn.edu/~buja/PAPERS/paper-dyn-proj-math.pdf, and the code follows the notation outlined in those papers:
Usage
geodesic_info(Fa, Fz, epsilon = 1e-06)
Arguments
Fa |
starting frame, will be orthonormalised if necessary |
Fz |
target frame, will be orthonormalised if necessary |
epsilon |
epsilon used to determine if an angle is effectively equal to 0 |
Details
p = dimension of data
d = target dimension
F = frame, an orthonormal p x d matrix
Fa = starting frame, Fz = target frame
Fa'Fz = Va lamda Vz' (svd)
Ga = Fa Va, Gz = Fz Vz
tau = principle angles
[Package tourr version 1.2.4 Index]