navis.transforms.MovingLeastSquaresTransform

class navis.transforms.MovingLeastSquaresTransform(landmarks_source, landmarks_target, direction='forward')

Moving Least Squares transforms of 3D spatial data.

Uses the molesq library, which packages the implementation by Casey Schneider-Mizell of the affine algorithm published in Schaefer et al. 2006.

Parameters:

• landmarks_source (np.ndarray) – Source landmarks as x/y/z coordinates.

• landmarks_target (np.ndarray) – Target landmarks as x/y/z coordinates.

• direction (str) – ‘forward’ (default) or ‘inverse’ (treat the target as the source and vice versa)

Examples

>>> from navis import transforms
>>> import numpy as np
>>> # Generate some mock landmarks
>>> src = np.array([[0, 0, 0], [10, 10, 10], [100, 100, 100], [80, 10, 30]])
>>> trg = np.array([[1, 15, 5], [9, 18, 21], [80, 99, 120], [5, 10, 80]])
>>> tr = transforms.MovingLeastSquaresTransform(src, trg)
>>> points = np.array([[0, 0, 0], [50, 50, 50]])
>>> tr.xform(points)
array([[ 1.        , 15.        ,  5.        ],
       [17.56361725, 43.32071504, 59.3147564 ]])

__init__(landmarks_source, landmarks_target, direction='forward')

Moving Least Squares transforms of 3D spatial data.

Uses the molesq library, which packages the implementation by Casey Schneider-Mizell of the affine algorithm published in Schaefer et al. 2006.

Parameters:

• landmarks_source (np.ndarray) – Source landmarks as x/y/z coordinates.

• landmarks_target (np.ndarray) – Target landmarks as x/y/z coordinates.

• direction (str) – ‘forward’ (default) or ‘inverse’ (treat the target as the source and vice versa)

Examples

>>> from navis import transforms
>>> import numpy as np
>>> # Generate some mock landmarks
>>> src = np.array([[0, 0, 0], [10, 10, 10], [100, 100, 100], [80, 10, 30]])
>>> trg = np.array([[1, 15, 5], [9, 18, 21], [80, 99, 120], [5, 10, 80]])
>>> tr = transforms.MovingLeastSquaresTransform(src, trg)
>>> points = np.array([[0, 0, 0], [50, 50, 50]])
>>> tr.xform(points)
array([[ 1.        , 15.        ,  5.        ],
       [17.56361725, 43.32071504, 59.3147564 ]])

Methods

__init__(landmarks_source, landmarks_target)	Moving Least Squares transforms of 3D spatial data.
append(other)	Append another transform to this one.
check_if_possible([on_error])	Test if running the transform is possible.
copy()	Make a copy
xform(points)	Transform points.