Bases: astropy.modeling.polynomial.OrthoPolynomialBase
2D Chebyshev polynomial of the 1st kind.
It is defined as
P_{n_m}(x,y) = \sum C_{n_m} T_n(x) T_m(y)
Parameters: | x_degree : int
y_degree : int
x_domain : list or None, optional
y_domain : list or None, optional
x_window : list or None, optional
y_window : list or None, optional
**params : dict
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Other Parameters: | |
fixed : a dict
tied : dict
bounds : dict eqcons : list
ineqcons : list
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Methods Summary
fit_deriv(x, y, *params) | Derivatives with respect to the coefficients. |
Methods Documentation
Derivatives with respect to the coefficients.
This is an array with Chebyshev polynomials:
T_{x_0}T_{y_0}, T_{x_1}T_{y_0}...T_{x_n}T_{y_0}...T_{x_n}T_{y_m}
Parameters: | x : ndarray
y : ndarray
params : throw away parameter
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Returns: | result : ndarray
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