| Rotation matrix to rotate a spherical vector along the direction of another {Directional} | R Documentation |
Rotation matrix to rotate a spherical vector along the direction of another
Description
A rotation matrix is calculated to rotate a unit vector along the direction of another.
Usage
rotation(a, b)
Arguments
a |
The initial unit vector. |
b |
The target unit vector. |
Details
The function calcualtes a rotation matrix given two vectors. This rotation matrix is the connection between the two spherical only, vectors.
Value
A rotation matrix whose dimension is equal to the length of the unit vectors.
Author(s)
Michail Tsagris.
R implementation and documentation: Michail Tsagris mtsagris@uoc.gr and Giorgos Athineou <gioathineou@gmail.com>.
References
Amaral G.J.A., Dryden I.L. and Wood A.T.A. (2007). Pivotal Bootstrap Methods for k-Sample Problems in Directional Statistics and Shape Analysis. Journal of the American Statistical Association, 102(478): 695–707.
See Also
Arotation, rot.matrix, lambert, lambert.inv, rsop
Examples
a <- rnorm(3)
a <- a/sqrt(sum(a^2))
b <- rnorm(3)
b <- b/sqrt(sum(b^2))
A <- rotation(a, b)
A
a ; b
a %*% t(A)
a <- rnorm(7)
a <- a/sqrt(sum(a^2))
b <- rnorm(7)
b <- b/sqrt(sum(b^2))
A <- rotation(a, b)
A
a ; b
a %*% t(A)