SimPEG.utils.rotate_points_from_normals#
- SimPEG.utils.rotate_points_from_normals(xyz, v0, v1, x0=array([0.0, 0.0, 0.0]))[source]#
Rotate a set of xyz locations about a specified point.
Rotate a grid of Cartesian points about a location x0 according to the rotation defined from vector v0 to v1.
Let \(\mathbf{x}\) represent an input xyz location, let \(\mathbf{x_0}\) be the origin of rotation, and let \(\mathbf{R}\) denote the rotation matrix from vector v0 to v1. Where \(\mathbf{x'}\) is the new xyz location, this function outputs the following operation for all input locations:
\[\mathbf{x'} = \mathbf{R (x - x_0)} + \mathbf{x_0}\]- Parameters
- xyz(
n, 3)numpy.ndarray locations to rotate
- v0(3)
numpy.ndarray Starting orientation direction
- v1(3)
numpy.ndarray Finishing orientation direction
- x0(3)
numpy.ndarray,optional The origin of rotation.
- xyz(
- Returns
- (
n, 3)numpy.ndarray The rotated xyz locations.
- (