tourr (version 0.5.1)

geodesic_info: 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