Spherical Linear Interpolation (Slerp)

Returns the spherical linear interpolation of points between two vectors

Usage

slerp(x0, x1, t)

x0, x1: objects of class "Vec3", "Line", or "Plane" of the first and the last points of the to be interpolated arc.
t: numeric. Interpolation factor(s) (t = [0, 1]).

A Slerp path is the spherical geometry equivalent of a path along a line segment in the plane; a great circle is a spherical geodesic.

For non-unit vectors the interpolation is not uniform.

x0 <- Line(120, 7)
x1 <- Line(10, 13)
t <- seq(0, 1, .05)
xslerp <- slerp(x0, x1, t)

plot(xslerp, col = assign_col(t))
points(rbind(x0, x1))