rotate_to_coordaxes {SyScSelection}

Rotates the ellipsoid (hellip) so its principal axes align with the coordinate axes. Both ellipsoids are centered at the origin. Note that there are (2^d)*d! valid ways to rotate the ellipsoid to the axes. This algorithm does not prescribe which solution will be provided.

Description

Rotates the ellipsoid (hellip) so its principal axes align with the coordinate axes. Both ellipsoids are centered at the origin. Note that there are (2^d)*d! valid ways to rotate the ellipsoid to the axes. This algorithm does not prescribe which solution will be provided.

Usage

rotate_to_coordaxes(hellip)

Arguments

hellip

The shape to be rotated, must be centered at the origin

Value

A list of: hellip2 - A new hyperellipsoid, rotated to the coordinate axes and tfm - the transformation matrix that creates the rotation