geodesic_path: Generate geodesic path.
In nspyrison/tourr: Implement Tour Methods in R Code

Description Usage Arguments Details Value Examples

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.

1	geodesic_path(current, target, frozen = NULL)

new_target_f

function that generates new frame, with previous frame as argument

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

`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.

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))