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tourr (version 1.1.0)

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