navigate.tools.linear_algebra.affine_shear

navigate.tools.linear_algebra.affine_shear(dz, dy, dx, dimension='YZ', angle=0)

Calculate the general 3D affine transform for shear.

Returns a shear matrix for a shear about the x, y, and z axes.

Affine Transform for shear has the following form:

[1 hxy hxz, 0, hyx 1 hyz, 0, hzx hzy 1, 0, 0, 0, 0, 1]

Parameters:

• dz (float) – Voxel size in Z.

• dy (float) – Voxel size in Y.

• dx (float) – Voxel size in X.

• dimension (str, optional) – The dimension to shear in. Options are “XY”, “XZ”, and “YZ”.

• angle (float, optional) – The angle to shear in degrees.

Returns:

shear_transform – A 4x4 affine transformation matrix.

Return type:

numpy.ndarray