Reference/API#

Capabilities#

astropy.modeling Package#

This subpackage provides a framework for representing models and performing model evaluation and fitting. It supports 1D and 2D models and fitting with parameter constraints. It has some predefined models and fitting routines.

Functions#

bind_bounding_box(modelinstance, bounding_box)

Set a validated bounding box to a model instance.

bind_compound_bounding_box(modelinstance, ...)

Add a validated compound bounding box to a model instance.

custom_model(*args[, fit_deriv])

Create a model from a user defined function.

fix_inputs(modelinstance, values[, ...])

This function creates a compound model with one or more of the input values of the input model assigned fixed values (scalar or array).

is_separable(transform)

A separability test for the outputs of a transform.

separability_matrix(transform)

Compute the correlation between outputs and inputs.

Classes#

CompoundModel(op, left, right[, name])

Base class for compound models.

Fittable1DModel(*args[, meta, name])

Base class for one-dimensional fittable models.

Fittable2DModel(*args[, meta, name])

Base class for two-dimensional fittable models.

FittableModel(*args[, meta, name])

Base class for models that can be fitted using the built-in fitting algorithms.

InputParameterError

Used for incorrect input parameter values and definitions.

Model(*args[, meta, name])

Base class for all models.

ModelDefinitionError

Used for incorrect models definitions.

Parameter([name, description, default, ...])

Wraps individual parameters.

ParameterError

Generic exception class for all exceptions pertaining to Parameters.

Class Inheritance Diagram#

Inheritance diagram of astropy.modeling.core.CompoundModel, astropy.modeling.core.Fittable1DModel, astropy.modeling.core.Fittable2DModel, astropy.modeling.core.FittableModel, astropy.modeling.parameters.InputParameterError, astropy.modeling.core.Model, astropy.modeling.core.ModelDefinitionError, astropy.modeling.parameters.Parameter, astropy.modeling.parameters.ParameterError

astropy.modeling.bounding_box Module#

This module is to contain an improved bounding box.

Classes#

ModelBoundingBox(intervals, model[, ...])

A model's bounding box.

CompoundBoundingBox(bounding_boxes, model, ...)

A model's compound bounding box.

Class Inheritance Diagram#

Inheritance diagram of astropy.modeling.bounding_box.ModelBoundingBox, astropy.modeling.bounding_box.CompoundBoundingBox

astropy.modeling.mappings Module#

Special models useful for complex compound models where control is needed over which outputs from a source model are mapped to which inputs of a target model.

Classes#

Mapping(mapping[, n_inputs, name, meta])

Allows inputs to be reordered, duplicated or dropped.

Identity(n_inputs[, name, meta])

Returns inputs unchanged.

UnitsMapping(mapping[, ...])

Mapper that operates on the units of the input, first converting to canonical units, then assigning new units without further conversion.

Class Inheritance Diagram#

Inheritance diagram of astropy.modeling.mappings.Mapping, astropy.modeling.mappings.Identity, astropy.modeling.mappings.UnitsMapping

astropy.modeling.fitting Module#

This module implements classes (called Fitters) which combine optimization algorithms (typically from scipy.optimize) with statistic functions to perform fitting. Fitters are implemented as callable classes. In addition to the data to fit, the __call__ method takes an instance of FittableModel as input, and returns a copy of the model with its parameters determined by the optimizer.

Optimization algorithms, called “optimizers” are implemented in optimizers and statistic functions are in statistic. The goal is to provide an easy to extend framework and allow users to easily create new fitters by combining statistics with optimizers.

There are two exceptions to the above scheme. LinearLSQFitter uses Numpy’s lstsq function. LevMarLSQFitter uses leastsq which combines optimization and statistic in one implementation.

Functions#

parallel_fit_dask(*, model, fitter, data[, ...])

Fit a model in parallel to an N-dimensional dataset.

Classes#

LinearLSQFitter([calc_uncertainties])

A class performing a linear least square fitting.

LevMarLSQFitter([calc_uncertainties])

Levenberg-Marquardt algorithm and least squares statistic.

TRFLSQFitter([calc_uncertainties, ...])

Trust Region Reflective algorithm and least squares statistic.

DogBoxLSQFitter([calc_uncertainties, ...])

DogBox algorithm and least squares statistic.

LMLSQFitter([calc_uncertainties])

scipy.optimize.least_squares Levenberg-Marquardt algorithm and least squares statistic.

FittingWithOutlierRemoval(fitter, outlier_func)

This class combines an outlier removal technique with a fitting procedure.

SLSQPLSQFitter()

Sequential Least Squares Programming (SLSQP) optimization algorithm and least squares statistic.

SimplexLSQFitter()

Simplex algorithm and least squares statistic.

JointFitter(models, jointparameters, initvals)

Fit models which share a parameter.

Fitter(optimizer, statistic)

Base class for all fitters.

ModelLinearityError

Raised when a non-linear model is passed to a linear fitter.

ModelsError

Base class for model exceptions.

Class Inheritance Diagram#

Inheritance diagram of astropy.modeling.fitting.LinearLSQFitter, astropy.modeling.fitting.LevMarLSQFitter, astropy.modeling.fitting.TRFLSQFitter, astropy.modeling.fitting.DogBoxLSQFitter, astropy.modeling.fitting.LMLSQFitter, astropy.modeling.fitting.FittingWithOutlierRemoval, astropy.modeling.fitting.SLSQPLSQFitter, astropy.modeling.fitting.SimplexLSQFitter, astropy.modeling.fitting.JointFitter, astropy.modeling.fitting.Fitter, astropy.modeling.fitting.ModelLinearityError, astropy.modeling.fitting.ModelsError

astropy.modeling.optimizers Module#

Optimization algorithms used in fitting.

Classes#

Optimization(opt_method)

Base class for optimizers.

SLSQP()

Sequential Least Squares Programming optimization algorithm.

Simplex()

Neald-Mead (downhill simplex) algorithm.

Class Inheritance Diagram#

Inheritance diagram of astropy.modeling.optimizers.Optimization, astropy.modeling.optimizers.SLSQP, astropy.modeling.optimizers.Simplex

astropy.modeling.statistic Module#

Statistic functions used in fitting.

Functions#

leastsquare(measured_vals, updated_model, ...)

Least square statistic, with optional weights, in N-dimensions.

leastsquare_1d(measured_vals, updated_model, ...)

Least square statistic with optional weights.

leastsquare_2d(measured_vals, updated_model, ...)

Least square statistic with optional weights.

leastsquare_3d(measured_vals, updated_model, ...)

Least square statistic with optional weights.

astropy.modeling.separable Module#

Functions to determine if a model is separable, i.e. if the model outputs are independent.

It analyzes n_inputs, n_outputs and the operators in a compound model by stepping through the transforms and creating a coord_matrix of shape (n_outputs, n_inputs).

Each modeling operator is represented by a function which takes two simple models (or two coord_matrix arrays) and returns an array of shape (n_outputs, n_inputs).

Functions#

is_separable(transform)

A separability test for the outputs of a transform.

separability_matrix(transform)

Compute the correlation between outputs and inputs.

Pre-Defined Models#

astropy.modeling.functional_models Module#

Mathematical models.

Classes#

AiryDisk2D([amplitude, x_0, y_0, radius])

Two dimensional Airy disk model.

Moffat1D([amplitude, x_0, gamma, alpha])

One dimensional Moffat model.

Moffat2D([amplitude, x_0, y_0, gamma, alpha])

Two dimensional Moffat model.

Box1D([amplitude, x_0, width])

One dimensional Box model.

Box2D([amplitude, x_0, y_0, x_width, y_width])

Two dimensional Box model.

Const1D([amplitude])

One dimensional Constant model.

Const2D([amplitude])

Two dimensional Constant model.

Ellipse2D([amplitude, x_0, y_0, a, b, theta])

A 2D Ellipse model.

Disk2D([amplitude, x_0, y_0, R_0])

Two dimensional radial symmetric Disk model.

Gaussian1D([amplitude, mean, stddev])

One dimensional Gaussian model.

Gaussian2D([amplitude, x_mean, y_mean, ...])

Two dimensional Gaussian model.

GeneralSersic2D([amplitude, r_eff, n, x_0, ...])

Generalized two dimensional Sersic surface brightness profile that allows for "boxy" or "disky" (kite-like) isophote shapes.

Linear1D([slope, intercept])

One dimensional Line model.

Lorentz1D([amplitude, x_0, fwhm])

One dimensional Lorentzian model.

Lorentz2D([amplitude, x_0, y_0, fwhm])

Two-dimensional Lorentzian model.

RickerWavelet1D([amplitude, x_0, sigma])

One dimensional Ricker Wavelet model (sometimes known as a "Mexican Hat" model).

RickerWavelet2D([amplitude, x_0, y_0, sigma])

Two dimensional Ricker Wavelet model (sometimes known as a "Mexican Hat" model).

RedshiftScaleFactor([z])

One dimensional redshift scale factor model.

Multiply([factor])

Multiply a model by a quantity or number.

Planar2D([slope_x, slope_y, intercept])

Two dimensional Plane model.

Scale([factor])

Multiply a model by a dimensionless factor.

Sersic1D([amplitude, r_eff, n])

One dimensional Sersic surface brightness profile.

Sersic2D([amplitude, r_eff, n, x_0, y_0, ...])

Two dimensional Sersic surface brightness profile.

Shift([offset])

Shift a coordinate.

Sine1D(*args[, meta, name])

One dimensional Sine model.

Cosine1D(*args[, meta, name])

One dimensional Cosine model.

Tangent1D(*args[, meta, name])

One dimensional Tangent model.

ArcSine1D(*args[, meta, name])

One dimensional ArcSine model returning values between -pi/2 and pi/2 only.

ArcCosine1D(*args[, meta, name])

One dimensional ArcCosine returning values between 0 and pi only.

ArcTangent1D(*args[, meta, name])

One dimensional ArcTangent model returning values between -pi/2 and pi/2 only.

Trapezoid1D([amplitude, x_0, width, slope])

One dimensional Trapezoid model.

TrapezoidDisk2D([amplitude, x_0, y_0, R_0, ...])

Two dimensional circular Trapezoid model.

Ring2D([amplitude, x_0, y_0, r_in, width, r_out])

Two dimensional radial symmetric Ring model.

Voigt1D([x_0, amplitude_L, fwhm_L, fwhm_G, ...])

One dimensional model for the Voigt profile.

KingProjectedAnalytic1D([amplitude, r_core, ...])

Projected (surface density) analytic King Model.

Exponential1D([amplitude, tau])

One dimensional exponential model.

Logarithmic1D([amplitude, tau])

One dimensional logarithmic model.

Class Inheritance Diagram#

Inheritance diagram of astropy.modeling.functional_models.AiryDisk2D, astropy.modeling.functional_models.Moffat1D, astropy.modeling.functional_models.Moffat2D, astropy.modeling.functional_models.Box1D, astropy.modeling.functional_models.Box2D, astropy.modeling.functional_models.Const1D, astropy.modeling.functional_models.Const2D, astropy.modeling.functional_models.Ellipse2D, astropy.modeling.functional_models.Disk2D, astropy.modeling.functional_models.Gaussian1D, astropy.modeling.functional_models.Gaussian2D, astropy.modeling.functional_models.GeneralSersic2D, astropy.modeling.functional_models.Linear1D, astropy.modeling.functional_models.Lorentz1D, astropy.modeling.functional_models.Lorentz2D, astropy.modeling.functional_models.RickerWavelet1D, astropy.modeling.functional_models.RickerWavelet2D, astropy.modeling.functional_models.RedshiftScaleFactor, astropy.modeling.functional_models.Multiply, astropy.modeling.functional_models.Planar2D, astropy.modeling.functional_models.Scale, astropy.modeling.functional_models.Sersic1D, astropy.modeling.functional_models.Sersic2D, astropy.modeling.functional_models.Shift, astropy.modeling.functional_models.Sine1D, astropy.modeling.functional_models.Cosine1D, astropy.modeling.functional_models.Tangent1D, astropy.modeling.functional_models.ArcSine1D, astropy.modeling.functional_models.ArcCosine1D, astropy.modeling.functional_models.ArcTangent1D, astropy.modeling.functional_models.Trapezoid1D, astropy.modeling.functional_models.TrapezoidDisk2D, astropy.modeling.functional_models.Ring2D, astropy.modeling.functional_models.Voigt1D, astropy.modeling.functional_models.KingProjectedAnalytic1D, astropy.modeling.functional_models.Exponential1D, astropy.modeling.functional_models.Logarithmic1D

astropy.modeling.physical_models Module#

Models that have physical origins.

Classes#

BlackBody(*args, **kwargs)

Blackbody model using the Planck function.

Drude1D([amplitude, x_0, fwhm])

Drude model based one the behavior of electons in materials (esp.

Plummer1D([mass, r_plum])

One dimensional Plummer density profile model.

NFW([mass, concentration, redshift, ...])

Navarro–Frenk–White (NFW) profile - model for radial distribution of dark matter.

Class Inheritance Diagram#

Inheritance diagram of astropy.modeling.physical_models.BlackBody, astropy.modeling.physical_models.Drude1D, astropy.modeling.physical_models.Plummer1D, astropy.modeling.physical_models.NFW

astropy.modeling.powerlaws Module#

Power law model variants.

Classes#

PowerLaw1D([amplitude, x_0, alpha])

One dimensional power law model.

BrokenPowerLaw1D([amplitude, x_break, ...])

One dimensional power law model with a break.

SmoothlyBrokenPowerLaw1D([amplitude, ...])

One dimensional smoothly broken power law model.

ExponentialCutoffPowerLaw1D([amplitude, ...])

One dimensional power law model with an exponential cutoff.

LogParabola1D([amplitude, x_0, alpha, beta])

One dimensional log parabola model (sometimes called curved power law).

Schechter1D([phi_star, m_star, alpha])

Schechter luminosity function (Schechter 1976), parameterized in terms of magnitudes.

Class Inheritance Diagram#

Inheritance diagram of astropy.modeling.powerlaws.PowerLaw1D, astropy.modeling.powerlaws.BrokenPowerLaw1D, astropy.modeling.powerlaws.SmoothlyBrokenPowerLaw1D, astropy.modeling.powerlaws.ExponentialCutoffPowerLaw1D, astropy.modeling.powerlaws.LogParabola1D, astropy.modeling.powerlaws.Schechter1D

astropy.modeling.polynomial Module#

This module contains models representing polynomials and polynomial series.

Classes#

Chebyshev1D(degree[, domain, window, ...])

Univariate Chebyshev series.

Chebyshev2D(x_degree, y_degree[, x_domain, ...])

Bivariate Chebyshev series..

Hermite1D(degree[, domain, window, ...])

Univariate Hermite series.

Hermite2D(x_degree, y_degree[, x_domain, ...])

Bivariate Hermite series.

InverseSIP(ap_order, bp_order[, ap_coeff, ...])

Inverse Simple Imaging Polynomial.

Legendre1D(degree[, domain, window, ...])

Univariate Legendre series.

Legendre2D(x_degree, y_degree[, x_domain, ...])

Bivariate Legendre series.

Polynomial1D(degree[, domain, window, ...])

1D Polynomial model.

Polynomial2D(degree[, x_domain, y_domain, ...])

2D Polynomial model.

SIP(crpix, a_order, b_order[, a_coeff, ...])

Simple Imaging Polynomial (SIP) model.

OrthoPolynomialBase(x_degree, y_degree[, ...])

This is a base class for the 2D Chebyshev and Legendre models.

PolynomialModel(degree[, n_models, ...])

Base class for polynomial models.

Class Inheritance Diagram#

Inheritance diagram of astropy.modeling.polynomial.Chebyshev1D, astropy.modeling.polynomial.Chebyshev2D, astropy.modeling.polynomial.Hermite1D, astropy.modeling.polynomial.Hermite2D, astropy.modeling.polynomial.InverseSIP, astropy.modeling.polynomial.Legendre1D, astropy.modeling.polynomial.Legendre2D, astropy.modeling.polynomial.Polynomial1D, astropy.modeling.polynomial.Polynomial2D, astropy.modeling.polynomial.SIP, astropy.modeling.polynomial.OrthoPolynomialBase, astropy.modeling.polynomial.PolynomialModel

astropy.modeling.projections Module#

Implements projections–particularly sky projections defined in WCS Paper II [1].

All angles are set and and displayed in degrees but internally computations are performed in radians. All functions expect inputs and outputs degrees.

References#

[1]

Calabretta, M.R., Greisen, E.W., 2002, A&A, 395, 1077 (Paper II)

Classes#

Projection(*args, **kwargs)

Base class for all sky projections.

Pix2SkyProjection(*args, **kwargs)

Base class for all Pix2Sky projections.

Sky2PixProjection(*args, **kwargs)

Base class for all Sky2Pix projections.

Zenithal(*args, **kwargs)

Base class for all Zenithal projections.

Cylindrical(*args, **kwargs)

Base class for Cylindrical projections.

PseudoCylindrical(*args, **kwargs)

Base class for pseudocylindrical projections.

Conic(*args, **kwargs)

Base class for conic projections.

PseudoConic(*args, **kwargs)

Base class for pseudoconic projections.

QuadCube(*args, **kwargs)

Base class for quad cube projections.

HEALPix(*args, **kwargs)

Base class for HEALPix projections.

AffineTransformation2D([matrix, translation])

Perform an affine transformation in 2 dimensions.

Pix2Sky_ZenithalPerspective(*args, **kwargs)

Zenithal perspective projection - pixel to sky.

Pix2Sky_AZP

alias of Pix2Sky_ZenithalPerspective

Pix2Sky_SlantZenithalPerspective(*args, **kwargs)

Slant zenithal perspective projection - pixel to sky.

Pix2Sky_SZP

alias of Pix2Sky_SlantZenithalPerspective

Pix2Sky_Gnomonic(*args, **kwargs)

Gnomonic projection - pixel to sky.

Pix2Sky_TAN

alias of Pix2Sky_Gnomonic

Pix2Sky_Stereographic(*args, **kwargs)

Stereographic Projection - pixel to sky.

Pix2Sky_STG

alias of Pix2Sky_Stereographic

Pix2Sky_SlantOrthographic(*args, **kwargs)

Slant orthographic projection - pixel to sky.

Pix2Sky_SIN

alias of Pix2Sky_SlantOrthographic

Pix2Sky_ZenithalEquidistant(*args, **kwargs)

Zenithal equidistant projection - pixel to sky.

Pix2Sky_ARC

alias of Pix2Sky_ZenithalEquidistant

Pix2Sky_ZenithalEqualArea(*args, **kwargs)

Zenithal equidistant projection - pixel to sky.

Pix2Sky_ZEA

alias of Pix2Sky_ZenithalEqualArea

Pix2Sky_Airy(*args, **kwargs)

Airy projection - pixel to sky.

Pix2Sky_AIR

alias of Pix2Sky_Airy

Pix2Sky_CylindricalPerspective(*args, **kwargs)

Cylindrical perspective - pixel to sky.

Pix2Sky_CYP

alias of Pix2Sky_CylindricalPerspective

Pix2Sky_CylindricalEqualArea(*args, **kwargs)

Cylindrical equal area projection - pixel to sky.

Pix2Sky_CEA

alias of Pix2Sky_CylindricalEqualArea

Pix2Sky_PlateCarree(*args, **kwargs)

Plate carrée projection - pixel to sky.

Pix2Sky_CAR

alias of Pix2Sky_PlateCarree

Pix2Sky_Mercator(*args, **kwargs)

Mercator - pixel to sky.

Pix2Sky_MER

alias of Pix2Sky_Mercator

Pix2Sky_SansonFlamsteed(*args, **kwargs)

Sanson-Flamsteed projection - pixel to sky.

Pix2Sky_SFL

alias of Pix2Sky_SansonFlamsteed

Pix2Sky_Parabolic(*args, **kwargs)

Parabolic projection - pixel to sky.

Pix2Sky_PAR

alias of Pix2Sky_Parabolic

Pix2Sky_Molleweide(*args, **kwargs)

Molleweide's projection - pixel to sky.

Pix2Sky_MOL

alias of Pix2Sky_Molleweide

Pix2Sky_HammerAitoff(*args, **kwargs)

Hammer-Aitoff projection - pixel to sky.

Pix2Sky_AIT

alias of Pix2Sky_HammerAitoff

Pix2Sky_ConicPerspective(*args, **kwargs)

Colles' conic perspective projection - pixel to sky.

Pix2Sky_COP

alias of Pix2Sky_ConicPerspective

Pix2Sky_ConicEqualArea(*args, **kwargs)

Alber's conic equal area projection - pixel to sky.

Pix2Sky_COE

alias of Pix2Sky_ConicEqualArea

Pix2Sky_ConicEquidistant(*args, **kwargs)

Conic equidistant projection - pixel to sky.

Pix2Sky_COD

alias of Pix2Sky_ConicEquidistant

Pix2Sky_ConicOrthomorphic(*args, **kwargs)

Conic orthomorphic projection - pixel to sky.

Pix2Sky_COO

alias of Pix2Sky_ConicOrthomorphic

Pix2Sky_BonneEqualArea(*args, **kwargs)

Bonne's equal area pseudoconic projection - pixel to sky.

Pix2Sky_BON

alias of Pix2Sky_BonneEqualArea

Pix2Sky_Polyconic(*args, **kwargs)

Polyconic projection - pixel to sky.

Pix2Sky_PCO

alias of Pix2Sky_Polyconic

Pix2Sky_TangentialSphericalCube(*args, **kwargs)

Tangential spherical cube projection - pixel to sky.

Pix2Sky_TSC

alias of Pix2Sky_TangentialSphericalCube

Pix2Sky_COBEQuadSphericalCube(*args, **kwargs)

COBE quadrilateralized spherical cube projection - pixel to sky.

Pix2Sky_CSC

alias of Pix2Sky_COBEQuadSphericalCube

Pix2Sky_QuadSphericalCube(*args, **kwargs)

Quadrilateralized spherical cube projection - pixel to sky.

Pix2Sky_QSC

alias of Pix2Sky_QuadSphericalCube

Pix2Sky_HEALPix(*args, **kwargs)

HEALPix - pixel to sky.

Pix2Sky_HPX

alias of Pix2Sky_HEALPix

Pix2Sky_HEALPixPolar(*args, **kwargs)

HEALPix polar, aka "butterfly" projection - pixel to sky.

Pix2Sky_XPH

alias of Pix2Sky_HEALPixPolar

Sky2Pix_ZenithalPerspective(*args, **kwargs)

Zenithal perspective projection - sky to pixel.

Sky2Pix_AZP

alias of Sky2Pix_ZenithalPerspective

Sky2Pix_SlantZenithalPerspective(*args, **kwargs)

Zenithal perspective projection - sky to pixel.

Sky2Pix_SZP

alias of Sky2Pix_SlantZenithalPerspective

Sky2Pix_Gnomonic(*args, **kwargs)

Gnomonic Projection - sky to pixel.

Sky2Pix_TAN

alias of Sky2Pix_Gnomonic

Sky2Pix_Stereographic(*args, **kwargs)

Stereographic Projection - sky to pixel.

Sky2Pix_STG

alias of Sky2Pix_Stereographic

Sky2Pix_SlantOrthographic(*args, **kwargs)

Slant orthographic projection - sky to pixel.

Sky2Pix_SIN

alias of Sky2Pix_SlantOrthographic

Sky2Pix_ZenithalEquidistant(*args, **kwargs)

Zenithal equidistant projection - sky to pixel.

Sky2Pix_ARC

alias of Sky2Pix_ZenithalEquidistant

Sky2Pix_ZenithalEqualArea(*args, **kwargs)

Zenithal equidistant projection - sky to pixel.

Sky2Pix_ZEA

alias of Sky2Pix_ZenithalEqualArea

Sky2Pix_Airy(*args, **kwargs)

Airy - sky to pixel.

Sky2Pix_AIR

alias of Sky2Pix_Airy

Sky2Pix_CylindricalPerspective(*args, **kwargs)

Cylindrical Perspective - sky to pixel.

Sky2Pix_CYP

alias of Sky2Pix_CylindricalPerspective

Sky2Pix_CylindricalEqualArea(*args, **kwargs)

Cylindrical equal area projection - sky to pixel.

Sky2Pix_CEA

alias of Sky2Pix_CylindricalEqualArea

Sky2Pix_PlateCarree(*args, **kwargs)

Plate carrée projection - sky to pixel.

Sky2Pix_CAR

alias of Sky2Pix_PlateCarree

Sky2Pix_Mercator(*args, **kwargs)

Mercator - sky to pixel.

Sky2Pix_MER

alias of Sky2Pix_Mercator

Sky2Pix_SansonFlamsteed(*args, **kwargs)

Sanson-Flamsteed projection - sky to pixel.

Sky2Pix_SFL

alias of Sky2Pix_SansonFlamsteed

Sky2Pix_Parabolic(*args, **kwargs)

Parabolic projection - sky to pixel.

Sky2Pix_PAR

alias of Sky2Pix_Parabolic

Sky2Pix_Molleweide(*args, **kwargs)

Molleweide's projection - sky to pixel.

Sky2Pix_MOL

alias of Sky2Pix_Molleweide

Sky2Pix_HammerAitoff(*args, **kwargs)

Hammer-Aitoff projection - sky to pixel.

Sky2Pix_AIT

alias of Sky2Pix_HammerAitoff

Sky2Pix_ConicPerspective(*args, **kwargs)

Colles' conic perspective projection - sky to pixel.

Sky2Pix_COP

alias of Sky2Pix_ConicPerspective

Sky2Pix_ConicEqualArea(*args, **kwargs)

Alber's conic equal area projection - sky to pixel.

Sky2Pix_COE

alias of Sky2Pix_ConicEqualArea

Sky2Pix_ConicEquidistant(*args, **kwargs)

Conic equidistant projection - sky to pixel.

Sky2Pix_COD

alias of Sky2Pix_ConicEquidistant

Sky2Pix_ConicOrthomorphic(*args, **kwargs)

Conic orthomorphic projection - sky to pixel.

Sky2Pix_COO

alias of Sky2Pix_ConicOrthomorphic

Sky2Pix_BonneEqualArea(*args, **kwargs)

Bonne's equal area pseudoconic projection - sky to pixel.

Sky2Pix_BON

alias of Sky2Pix_BonneEqualArea

Sky2Pix_Polyconic(*args, **kwargs)

Polyconic projection - sky to pixel.

Sky2Pix_PCO

alias of Sky2Pix_Polyconic

Sky2Pix_TangentialSphericalCube(*args, **kwargs)

Tangential spherical cube projection - sky to pixel.

Sky2Pix_TSC

alias of Sky2Pix_TangentialSphericalCube

Sky2Pix_COBEQuadSphericalCube(*args, **kwargs)

COBE quadrilateralized spherical cube projection - sky to pixel.

Sky2Pix_CSC

alias of Sky2Pix_COBEQuadSphericalCube

Sky2Pix_QuadSphericalCube(*args, **kwargs)

Quadrilateralized spherical cube projection - sky to pixel.

Sky2Pix_QSC

alias of Sky2Pix_QuadSphericalCube

Sky2Pix_HEALPix(*args, **kwargs)

HEALPix projection - sky to pixel.

Sky2Pix_HPX

alias of Sky2Pix_HEALPix

Sky2Pix_HEALPixPolar(*args, **kwargs)

HEALPix polar, aka "butterfly" projection - pixel to sky.

Sky2Pix_XPH

alias of Sky2Pix_HEALPixPolar

Class Inheritance Diagram#

Inheritance diagram of astropy.modeling.projections.Projection, astropy.modeling.projections.Pix2SkyProjection, astropy.modeling.projections.Sky2PixProjection, astropy.modeling.projections.Zenithal, astropy.modeling.projections.Cylindrical, astropy.modeling.projections.PseudoCylindrical, astropy.modeling.projections.Conic, astropy.modeling.projections.PseudoConic, astropy.modeling.projections.QuadCube, astropy.modeling.projections.HEALPix, astropy.modeling.projections.AffineTransformation2D, astropy.modeling.projections.Pix2Sky_ZenithalPerspective, astropy.modeling.projections.Pix2Sky_ZenithalPerspective, astropy.modeling.projections.Pix2Sky_SlantZenithalPerspective, astropy.modeling.projections.Pix2Sky_SlantZenithalPerspective, astropy.modeling.projections.Pix2Sky_Gnomonic, astropy.modeling.projections.Pix2Sky_Gnomonic, astropy.modeling.projections.Pix2Sky_Stereographic, astropy.modeling.projections.Pix2Sky_Stereographic, astropy.modeling.projections.Pix2Sky_SlantOrthographic, astropy.modeling.projections.Pix2Sky_SlantOrthographic, astropy.modeling.projections.Pix2Sky_ZenithalEquidistant, astropy.modeling.projections.Pix2Sky_ZenithalEquidistant, astropy.modeling.projections.Pix2Sky_ZenithalEqualArea, astropy.modeling.projections.Pix2Sky_ZenithalEqualArea, astropy.modeling.projections.Pix2Sky_Airy, astropy.modeling.projections.Pix2Sky_Airy, astropy.modeling.projections.Pix2Sky_CylindricalPerspective, astropy.modeling.projections.Pix2Sky_CylindricalPerspective, astropy.modeling.projections.Pix2Sky_CylindricalEqualArea, astropy.modeling.projections.Pix2Sky_CylindricalEqualArea, astropy.modeling.projections.Pix2Sky_PlateCarree, astropy.modeling.projections.Pix2Sky_PlateCarree, astropy.modeling.projections.Pix2Sky_Mercator, astropy.modeling.projections.Pix2Sky_Mercator, astropy.modeling.projections.Pix2Sky_SansonFlamsteed, astropy.modeling.projections.Pix2Sky_SansonFlamsteed, astropy.modeling.projections.Pix2Sky_Parabolic, astropy.modeling.projections.Pix2Sky_Parabolic, astropy.modeling.projections.Pix2Sky_Molleweide, astropy.modeling.projections.Pix2Sky_Molleweide, astropy.modeling.projections.Pix2Sky_HammerAitoff, astropy.modeling.projections.Pix2Sky_HammerAitoff, astropy.modeling.projections.Pix2Sky_ConicPerspective, astropy.modeling.projections.Pix2Sky_ConicPerspective, astropy.modeling.projections.Pix2Sky_ConicEqualArea, astropy.modeling.projections.Pix2Sky_ConicEqualArea, astropy.modeling.projections.Pix2Sky_ConicEquidistant, astropy.modeling.projections.Pix2Sky_ConicEquidistant, astropy.modeling.projections.Pix2Sky_ConicOrthomorphic, astropy.modeling.projections.Pix2Sky_ConicOrthomorphic, astropy.modeling.projections.Pix2Sky_BonneEqualArea, astropy.modeling.projections.Pix2Sky_BonneEqualArea, astropy.modeling.projections.Pix2Sky_Polyconic, astropy.modeling.projections.Pix2Sky_Polyconic, astropy.modeling.projections.Pix2Sky_TangentialSphericalCube, astropy.modeling.projections.Pix2Sky_TangentialSphericalCube, astropy.modeling.projections.Pix2Sky_COBEQuadSphericalCube, astropy.modeling.projections.Pix2Sky_COBEQuadSphericalCube, astropy.modeling.projections.Pix2Sky_QuadSphericalCube, astropy.modeling.projections.Pix2Sky_QuadSphericalCube, astropy.modeling.projections.Pix2Sky_HEALPix, astropy.modeling.projections.Pix2Sky_HEALPix, astropy.modeling.projections.Pix2Sky_HEALPixPolar, astropy.modeling.projections.Pix2Sky_HEALPixPolar, astropy.modeling.projections.Sky2Pix_ZenithalPerspective, astropy.modeling.projections.Sky2Pix_ZenithalPerspective, astropy.modeling.projections.Sky2Pix_SlantZenithalPerspective, astropy.modeling.projections.Sky2Pix_SlantZenithalPerspective, astropy.modeling.projections.Sky2Pix_Gnomonic, astropy.modeling.projections.Sky2Pix_Gnomonic, astropy.modeling.projections.Sky2Pix_Stereographic, astropy.modeling.projections.Sky2Pix_Stereographic, astropy.modeling.projections.Sky2Pix_SlantOrthographic, astropy.modeling.projections.Sky2Pix_SlantOrthographic, astropy.modeling.projections.Sky2Pix_ZenithalEquidistant, astropy.modeling.projections.Sky2Pix_ZenithalEquidistant, astropy.modeling.projections.Sky2Pix_ZenithalEqualArea, astropy.modeling.projections.Sky2Pix_ZenithalEqualArea, astropy.modeling.projections.Sky2Pix_Airy, astropy.modeling.projections.Sky2Pix_Airy, astropy.modeling.projections.Sky2Pix_CylindricalPerspective, astropy.modeling.projections.Sky2Pix_CylindricalPerspective, astropy.modeling.projections.Sky2Pix_CylindricalEqualArea, astropy.modeling.projections.Sky2Pix_CylindricalEqualArea, astropy.modeling.projections.Sky2Pix_PlateCarree, astropy.modeling.projections.Sky2Pix_PlateCarree, astropy.modeling.projections.Sky2Pix_Mercator, astropy.modeling.projections.Sky2Pix_Mercator, astropy.modeling.projections.Sky2Pix_SansonFlamsteed, astropy.modeling.projections.Sky2Pix_SansonFlamsteed, astropy.modeling.projections.Sky2Pix_Parabolic, astropy.modeling.projections.Sky2Pix_Parabolic, astropy.modeling.projections.Sky2Pix_Molleweide, astropy.modeling.projections.Sky2Pix_Molleweide, astropy.modeling.projections.Sky2Pix_HammerAitoff, astropy.modeling.projections.Sky2Pix_HammerAitoff, astropy.modeling.projections.Sky2Pix_ConicPerspective, astropy.modeling.projections.Sky2Pix_ConicPerspective, astropy.modeling.projections.Sky2Pix_ConicEqualArea, astropy.modeling.projections.Sky2Pix_ConicEqualArea, astropy.modeling.projections.Sky2Pix_ConicEquidistant, astropy.modeling.projections.Sky2Pix_ConicEquidistant, astropy.modeling.projections.Sky2Pix_ConicOrthomorphic, astropy.modeling.projections.Sky2Pix_ConicOrthomorphic, astropy.modeling.projections.Sky2Pix_BonneEqualArea, astropy.modeling.projections.Sky2Pix_BonneEqualArea, astropy.modeling.projections.Sky2Pix_Polyconic, astropy.modeling.projections.Sky2Pix_Polyconic, astropy.modeling.projections.Sky2Pix_TangentialSphericalCube, astropy.modeling.projections.Sky2Pix_TangentialSphericalCube, astropy.modeling.projections.Sky2Pix_COBEQuadSphericalCube, astropy.modeling.projections.Sky2Pix_COBEQuadSphericalCube, astropy.modeling.projections.Sky2Pix_QuadSphericalCube, astropy.modeling.projections.Sky2Pix_QuadSphericalCube, astropy.modeling.projections.Sky2Pix_HEALPix, astropy.modeling.projections.Sky2Pix_HEALPix, astropy.modeling.projections.Sky2Pix_HEALPixPolar, astropy.modeling.projections.Sky2Pix_HEALPixPolar

astropy.modeling.rotations Module#

Implements rotations, including spherical rotations as defined in WCS Paper II [1].

RotateNative2Celestial and RotateCelestial2Native follow the convention in WCS Paper II to rotate to/from a native sphere and the celestial sphere.

The implementation uses EulerAngleRotation. The model parameters are three angles: the longitude (lon) and latitude (lat) of the fiducial point in the celestial system (CRVAL keywords in FITS), and the longitude of the celestial pole in the native system (lon_pole). The Euler angles are lon+90, 90-lat and -(lon_pole-90).

References#

[1]

Calabretta, M.R., Greisen, E.W., 2002, A&A, 395, 1077 (Paper II)

Classes#

RotateCelestial2Native(lon, lat, lon_pole, ...)

Transform from Celestial to Native Spherical Coordinates.

RotateNative2Celestial(lon, lat, lon_pole, ...)

Transform from Native to Celestial Spherical Coordinates.

Rotation2D([angle])

Perform a 2D rotation given an angle.

EulerAngleRotation(phi, theta, psi, ...)

Implements Euler angle intrinsic rotations.

RotationSequence3D(angles, axes_order[, name])

Perform a series of rotations about different axis in 3D space.

SphericalRotationSequence(angles, axes_order)

Perform a sequence of rotations about arbitrary number of axes in spherical coordinates.

Class Inheritance Diagram#

Inheritance diagram of astropy.modeling.rotations.RotateCelestial2Native, astropy.modeling.rotations.RotateNative2Celestial, astropy.modeling.rotations.Rotation2D, astropy.modeling.rotations.EulerAngleRotation, astropy.modeling.rotations.RotationSequence3D, astropy.modeling.rotations.SphericalRotationSequence

astropy.modeling.spline Module#

Spline models and fitters.

Classes#

Spline1D([knots, coeffs, degree, bounds, ...])

One dimensional Spline Model.

SplineInterpolateFitter()

Fit an interpolating spline.

SplineSmoothingFitter()

Fit a smoothing spline.

SplineExactKnotsFitter()

Fit a spline using least-squares regression.

SplineSplrepFitter()

Fit a spline using the scipy.interpolate.splrep function interface.

Class Inheritance Diagram#

Inheritance diagram of astropy.modeling.spline.Spline1D, astropy.modeling.spline.SplineInterpolateFitter, astropy.modeling.spline.SplineSmoothingFitter, astropy.modeling.spline.SplineExactKnotsFitter, astropy.modeling.spline.SplineSplrepFitter

astropy.modeling.tabular Module#

Tabular models.

Tabular models of any dimension can be created using tabular_model. For convenience Tabular1D and Tabular2D are provided.

Examples#

>>> table = np.array([[ 3.,  0.,  0.],
...                  [ 0.,  2.,  0.],
...                  [ 0.,  0.,  0.]])
>>> points = ([1, 2, 3], [1, 2, 3])
>>> t2 = Tabular2D(points, lookup_table=table, bounds_error=False,
...                fill_value=None, method='nearest')

Functions#

tabular_model(dim[, name])

Make a Tabular model where n_inputs is based on the dimension of the lookup_table.

Classes#

Tabular1D([points, lookup_table, method, ...])

Tabular model in 1D.

Tabular2D([points, lookup_table, method, ...])

Tabular model in 2D.

Class Inheritance Diagram#

Inheritance diagram of astropy.modeling.tabular.Tabular1D, astropy.modeling.tabular.Tabular2D