labs.datasets.transforms.affine_utils¶
Module: labs.datasets.transforms.affine_utils¶
Functions working with affine transformation matrices.
Functions¶
- nipy.labs.datasets.transforms.affine_utils.apply_affine(x, y, z, affine)¶
Apply the affine matrix to the given coordinate.
- Parameters:
- x: number or ndarray
The x coordinates
- y: number or ndarray
The y coordinates
- z: number or ndarray
The z coordinates
- affine: 4x4 ndarray
The affine matrix of the transformation
- nipy.labs.datasets.transforms.affine_utils.from_matrix_vector(matrix, vector)¶
Combine a matrix and vector into a homogeneous transform.
Combine a rotation matrix and translation vector into a transform in homogeneous coordinates.
- Parameters:
- matrixndarray
An NxN array representing the rotation matrix.
- vectorndarray
A 1xN array representing the translation.
- Returns:
- xformndarray
An N+1xN+1 transform matrix.
See also
- nipy.labs.datasets.transforms.affine_utils.get_bounds(shape, affine)¶
Return the world-space bounds occupied by an array given an affine.
- nipy.labs.datasets.transforms.affine_utils.to_matrix_vector(transform)¶
Split a transform into it’s matrix and vector components.
The transformation must be represented in homogeneous coordinates and is split into it’s rotation matrix and translation vector components.
- Parameters:
- transformndarray
Transform matrix in homogeneous coordinates. Example, a 4x4 transform representing rotations and translations in 3 dimensions.
- Returns:
- matrix, vectorndarray
The matrix and vector components of the transform matrix. For an NxN transform, matrix will be N-1xN-1 and vector will be 1xN-1.
See also