rotations (version 1.0)

mis.axis: Misorientation axis

Description

Determine the misorientation axis of a rotation.

Usage

mis.axis(x, ...)
  ## S3 method for class 'SO3':
mis.axis(x, ...)
  ## S3 method for class 'Q4':
mis.axis(x, ...)

Arguments

x

$n\times p$ matrix where each row corresponds to a random rotation in matrix ($p=9$) or quaternion ($p=4$) form.

...

additional arguments.

Value

• Axis in form of three dimensional vector of length one.

Details

Every rotation can be interpreted as some reference coordinate system rotated about an axis through an angle. These quantities are referred to as the misorientation axis and misorientation angle, respectively, in the material sciences literature. This function returns the misorentation axis associated with a rotation assuming the reference coordinate system is the identity.

See Also

mis.angle

Examples

rs <- rcayley(20, kappa = 20)
Rs <- genR(rs, S = id.SO3)
mis.axis(Rs)
all.equal(Rs, as.SO3(mis.axis(Rs), mis.angle(Rs)))

Qs <- genR(rs, S = id.Q4, space = "Q4")
mis.axis(Qs)
all.equal(Qs, as.Q4(mis.axis(Qs), mis.angle(Qs)))