sourcefinder.gaussian

Definition of a two-dimensional elliptical Gaussian.

Functions

gaussian(height, center_x, center_y, semimajor, ...)	Return a 2D Gaussian function with the given parameters.
jac_gaussian(gaussianargs)	Return the Jacobian of a 2D anisotropic Gaussian.

Module Contents

sourcefinder.gaussian.gaussian(height, center_x, center_y, semimajor, semiminor, theta)

Return a 2D Gaussian function with the given parameters.

Parameters:

heightfloat

(z-)value of the 2D Gaussian.

center_xfloat

x center of the Gaussian.

center_yfloat

y center of the Gaussian.

semimajorfloat

Semi-major axis of the Gaussian.

semiminorfloat

Semi-minor axis of the Gaussian.

thetafloat

Angle of the 2D Gaussian in radians, measured between the semi-major and y axes, in counterclockwise direction.

Returns:

function

2D Gaussian function of pixel coordinates (x, y).

sourcefinder.gaussian.jac_gaussian(gaussianargs)

Return the Jacobian of a 2D anisotropic Gaussian.

Parameters:

gaussianargslist or tuple

A list containing the six Gaussian parameters:

• height (float): (z-)value of the 2D Gaussian.

• center_x (float): x center of the Gaussian.

• center_y (float): y center of the Gaussian.

• semimajor (float): Major axis of the Gaussian.

• semiminor (float): Minor axis of the Gaussian.

• theta (float): Angle of the 2D Gaussian in radians, measured between the semi-major and y axes, in counterclockwise direction.

Returns:

dict

A dictionary containing the Jacobian of the Gaussian, i.e., the derivatives along each of the six parameters of the Gaussian as functions of pixel coordinates (x, y).