`skimage.measure.fit:LineModelND`

source: /dev/scikit-image/src/skimage/measure/fit.py :168

Signature

class LineModelND ( origin , direction )

Total least squares estimator for N-dimensional lines.

In contrast to ordinary least squares line estimation, this estimator minimizes the orthogonal distances of points to the estimated line.

Lines are defined by a point (origin) and a unit vector (direction) according to the following vector equation

X = origin + lambda * direction

origin : array-like, shape (N,): Coordinates of line origin in N dimensions.
direction : array-like, shape (N,): Vector giving line direction.

x = np.linspace(1, 2, 25)
y = 1.5 * x + 3
lm = LineModelND.from_estimate(np.stack([x, y], axis=-1))
lm.origin

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lm.direction  # doctest: +FLOAT_CMP

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res = lm.residuals(np.stack([x, y], axis=-1))
np.abs(np.round(res, 9))
np.round(lm.predict_y(x[:5]), 3)
np.round(lm.predict_x(y[:5]), 3)

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