tourr (version 0.5.1)

geodesic_path: Generate geodesic path.

Description

Wrap basis generation method with a function that keeps computes the geodesic interpolation from the previous frame to the next frame, and provides convenient access to all the information about the path.

Usage

geodesic_path(current, target, frozen = NULL)

Arguments

new_target_f

function that generates new frame, with previous frame as argument

Value

• interpolate
  A function with single parameter in [0, 1] that returns an interpolated frame between the current and future frames. 0 gives the current plane, 1 gives the new target frame in plane of current frame.
• dist
  The distance, in radians, between the current and target frames.
• Fa
  The current frame.
• Fz
  The new target frame.
• tau
  The principle angles between the current and target frames.
• Ga
  The current plane.
• Gz
  The target plane.

Details

Frozen variables allow us to keep certain values of the projection fixed and generate a geodesic across the subspace generated by those

Examples

a <- basis_random(4, 2)
b <- basis_random(4, 2)
path <- geodesic_path(a, b)

path$dist
all.equal(a, path$interpolate(0))
# Not true generally - a rotated into plane of b
all.equal(b, path$interpolate(1))