geodesic_info: Calculate information required to interpolate along a...

In tourr: Implement tour methods in pure R code

Description

Calculate information required to interpolate along a geodesic path between two frames.

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

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:

• 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

tourr documentation built on May 2, 2019, 5:28 p.m.