cwitools.modeling.gauss2d

cwitools.modeling.gauss2d(params, xx, yy)

General 2D Gaussian profile in the form f(parameters, x)

I(x) = I0 * exp(-a(x-x0)^2 - b(x-x0)(y-y0) - c(y-y0)^2) where a = cos^2 (theta) / 2*sig_x^2 + sin^2 (theta) / 2*sig_y^2 b = sin(2*theta) / 2*sig_x^2 - sin(2*theta) / 2*sig_y^2 c = sin^2(theta) / 2*sig_x^2 + cos^2 (theta) / 2*sig_y^2

See gauss2d_sym for symmetric 2D Gaussian.

Parameters:

• params (list) – 2D Gaussian parameters (I0, x0, y0, sig_x, sig_y, theta) I0 - amplitude x0, y0 - x and y means sig_x, sig_y - x and y standard deviations theta - angle of rotation of 2D Gaussian (degrees)
• xx (numpy.ndarray) – 2D meshgrid of x position
• yy (numpy.ndarray) – 2D Meshgrid of y position

Returns:

The 2D Gaussian model output

Return type:

numpy.ndarray