AffineTransformation2D#

class astropy.modeling.projections.AffineTransformation2D(matrix=Parameter('matrix', value=[[1. 0.]  [0. 1.]]), translation=Parameter('translation', value=[0. 0.]), **kwargs)[source]#

Bases: Model

Perform an affine transformation in 2 dimensions.

Parameters:
matrixarray

A 2x2 matrix specifying the linear transformation to apply to the inputs

translationarray

A 2D vector (given as either a 2x1 or 1x2 array) specifying a translation to apply to the inputs

Attributes Summary

input_units

This property is used to indicate what units or sets of units the evaluate method expects, and returns a dictionary mapping inputs to units (or None if any units are accepted).

matrix

n_inputs

The number of inputs.

n_outputs

The number of outputs.

param_names

Names of the parameters that describe models of this type.

standard_broadcasting

translation

Methods Summary

__call__(*inputs[, model_set_axis, ...])

Evaluate this model using the given input(s) and the parameter values that were specified when the model was instantiated.

evaluate(x, y, matrix, translation)

Apply the transformation to a set of 2D Cartesian coordinates given as two lists--one for the x coordinates and one for a y coordinates--or a single coordinate pair.

Attributes Documentation

input_units#
matrix = Parameter('matrix', value=[[1. 0.]  [0. 1.]])#
n_inputs = 2#

The number of inputs.

n_outputs = 2#

The number of outputs.

param_names = ('matrix', 'translation')#

Names of the parameters that describe models of this type.

The parameters in this tuple are in the same order they should be passed in when initializing a model of a specific type. Some types of models, such as polynomial models, have a different number of parameters depending on some other property of the model, such as the degree.

When defining a custom model class the value of this attribute is automatically set by the Parameter attributes defined in the class body.

standard_broadcasting = False#
translation = Parameter('translation', value=[0. 0.])#

Methods Documentation

__call__(*inputs, model_set_axis=None, with_bounding_box=False, fill_value=nan, equivalencies=None, inputs_map=None, **new_inputs)#

Evaluate this model using the given input(s) and the parameter values that were specified when the model was instantiated.

classmethod evaluate(x, y, matrix, translation)[source]#

Apply the transformation to a set of 2D Cartesian coordinates given as two lists–one for the x coordinates and one for a y coordinates–or a single coordinate pair.

Parameters:
x, yarray, float

x and y coordinates