single_polynomial_terms

sofia_redux.toolkit.resampling.single_polynomial_terms(coordinate, exponents)

Derive polynomial terms for a single coordinate given polynomial exponents.

Raises a single coordinate by a power and then calculates the product over all dimensions. For example, the output of an (x, y) vector with exponent=[[2, 3]] would be \(x^2y^3\).

Note that multiple sets of exponents are expected to be provided during this operation, so the exponents parameter should be a 2-dimensional array. The return value will be a 1-dimensional array with size equal to the number of exponent sets provided.

Parameters:

coordinatenumpy.ndarray (N,)

The coordinate in each dimension.

exponentsnumpy.ndarray (n_exponents, N)

Sets of exponents to apply to the coordinate.

Returns:

numpy.ndarray of numpy.float64 (n_exponents,)

The polynomial terms for the coordinate.