python_codes.DEM_analysis.polyfit2d#
- polyfit2d(X, Y, Z, kx, ky, order_max=None)[source]#
- Fitting polynomials in 2d dimensions.
Resultant fit can be plotted with: np.polynomial.polynomial.polygrid2d(x, y, p.reshape((kx+1, ky+1)).T)
- Parameters
X (array_like, shape (M,N)) – 1st coordinate array as output of np.meshgrid.
Y (array_like, shape (M,N)) – 2nd coordinate array as output of np.meshgrid.
Z (array_like, shape (M,N)) – Surface points to be fitted
kx (int) – Degree in the first coordinate.
ky (int) – Degree in the second coordinate.
order_max (int or None, optional) – If None, all coefficients up to maxiumum kx, ky, ie. up to and including x^kx*y^ky, are considered. If int, coefficients up to a maximum of kx+ky <= order_max are considered (the default is None).
- Returns
p (ndarray) – Least-squares solution from
residuals (ndarray) – Sums of squared residuals.
rank (int) – Rank of matrix a.
s (ndarray) – Singular values of a.
