Compute the value of the geodesic curve connecting two points on the unit sphere for a given set of time points t

This function computes the value of the geodesic curve connecting two points p and q on the unit sphere at specified time points.

Usage

geodesic(t, p, q, a, b)

Arguments

t

Numeric vector representing time points for the geodesic path.

p

Numeric vector representing the starting point on the sphere.

q

Numeric vector representing the ending point on the sphere.

a

Start time parameter.

b

End time parameter.

Value

Numeric matrix representing points along the geodesic path at specified time points.

Examples

geodesic(c(0.25, 0.5, 0.75), c(1,0,0), c(0,1,0), 0, 1)
#>           [,1]      [,2] [,3]
#> [1,] 0.9238795 0.3826834    0
#> [2,] 0.7071068 0.7071068    0
#> [3,] 0.3826834 0.9238795    0