slmsuite.holography.analysis.fit_affine

fit_affine(x, y, guess_affine=None, plot=False)[source]

For two sets of points with equal length, find the best-fit affine transformation that transforms from the first basis to the second. Best fit is defined as minimization on the least squares euclidean norm.

\[\vec{y} = M \cdot \vec{x} + \vec{b}\]
Parameters

  • x (array_like) – Array of vectors of shape (2, N) in the style of format_2vectors().

  • y (array_like) – Array of vectors of shape (2, N) in the style of format_2vectors().

  • plot (bool) – Whether to produce a debug plot.

Returns

A dictionary with fields "M" and "b".

Return type

dict