casacore::Fit2D Class Reference

Fit 2-D objects to 2-D Lattices or Arrays. More...

#include <Fit2D.h>

List of all members.

Public Types

enum  Types {
  GAUSSIAN,
  DISK,
  LEVEL,
  PLANE,
  nTypes
}
 

Enum describing the different models you can fit.

More...
enum  ErrorTypes {
  OK,
  NOCONVERGE,
  FAILED,
  NOGOOD,
  NOMODELS,
  nErrorTypes
}
 

Enum describing output error conditions.

More...

Public Member Functions

 Fit2D (LogIO &logger)
 Constructor.
 ~Fit2D ()
 Destructor.
 Fit2D (const Fit2D &other)
 Copy constructor.
Fit2Doperator= (const Fit2D &other)
 Assignment operator.
uInt addModel (Fit2D::Types type, const Vector< Double > &parameters, const Vector< Bool > &parameterMask)
 Add a model to the list to be simultaneously fit and return its index.
uInt addModel (Fit2D::Types type, const Vector< Double > &parameters)
void setIncludeRange (Double minVal, Double maxVal)
 Set a pixel selection range.
void setExcludeRange (Double minVal, Double maxVal)
void resetRange ()
uInt nModels () const
 Recover number of models.
Vector< Doubleestimate (Fit2D::Types type, const MaskedLattice< Float > &data)
 Determine an initial estimate for the solution of the specified model type to the given data - no compound models are allowable in this function.
Vector< Doubleestimate (Fit2D::Types type, const Lattice< Float > &data)
Vector< Doubleestimate (Fit2D::Types type, const Array< Float > &data)
Vector< Doubleestimate (Fit2D::Types type, const Array< Float > &data, const Array< Bool > &mask)
Fit2D::ErrorTypes fit (const MaskedLattice< Float > &data, const Lattice< Float > &sigma)
 Do the fit.
Fit2D::ErrorTypes fit (const Lattice< Float > &data, const Lattice< Float > &sigma)
Fit2D::ErrorTypes fit (const Array< Float > &data, const Array< Float > &sigma)
Fit2D::ErrorTypes fit (const Array< Float > &data, const Array< Bool > &mask, const Array< Float > &sigma)
Fit2D::ErrorTypes residual (Array< Float > &resid, Array< Float > &model, const Array< Float > &data, Int xOffset=0, int yOffset=0) const
 Find the residuals to the fit.
Fit2D::ErrorTypes residual (Array< Float > &resid, Array< Float > &model, const MaskedLattice< Float > &data)
Fit2D::ErrorTypes residual (Array< Float > &resid, Array< Float > &model, const Lattice< Float > &data)
String errorMessage () const
 If function fit failed, you will find a message here saying why it failed.
Vector< DoubleavailableSolution () const
 Recover solution for either all model components or a specific one.
Vector< DoubleavailableSolution (uInt which) const
Vector< DoubleavailableErrors () const
 The errors.
Vector< DoubleavailableErrors (uInt which) const
uInt numberIterations () const
 The number of iterations that the fitter finished with.
Double chiSquared () const
 The chi squared of the fit.
uInt numberPoints () const
 The number of points used for the last fit.
Fit2D::Types type (uInt which)
 Find type of specific model.

Static Public Member Functions

static Vector< BoolconvertMask (const String fixedmask, Fit2D::Types type)
 Convert mask from a string to a vector.
static uInt nParameters (Fit2D::Types type)
 Return number of parameters for this type of model.
static String type (Fit2D::Types type)
 Return type as a string.
static Fit2D::Types type (const String &type)
 Return string type as enum (min match).
static Double paToGauss2D (Double pa)
 Convert p.a.
static Double paFromGauss2D (Double pa)
 Convert p.a.

Private Member Functions

Fit2D::ErrorTypes fitData (const Vector< Double > &values, const Matrix< Double > &pos, const Vector< Double > &sigma)
Vector< DoubleavailableSolution (uInt &iStart, uInt which) const
 Returns available (adjustable + fixed) solution for model of interest and tells you where it began in the full solution vector Does no axial ratio nor position angle conversions from direct fit solution vector.
Vector< DoubleavailableErrors (uInt &iStart, uInt which) const
Vector< DoublegetParams (uInt which) const
void setParams (const Vector< Double > &params, uInt which)
Bool includeIt (Float value, const Vector< Float > &range, Int includeIt) const
Bool selectData (Matrix< Double > &pos, Vector< Double > &values, Vector< Double > &weights, const Array< Float > &pixels, const Array< Bool > &mask, const Array< Float > &sigma)
void piRange (Double &pa) const

Private Attributes

LogIO itsLogger
Bool itsValid
Bool itsValidSolution
Bool itsHasSigma
Bool itsInclude
Vector< FloatitsPixelRange
CompoundFunction< AutoDiff
< Double > > 
itsFunction
NonLinearFitLM< DoubleitsFitter
Vector< DoubleitsSolution
Vector< DoubleitsErrors
Double itsChiSquared
String itsErrorMessage
uInt itsNumberPoints
Vector< uIntitsTypeList

Detailed Description

Fit 2-D objects to 2-D Lattices or Arrays.

Intended use:

Public interface

Prerequisite

Synopsis

This class allows you to fit different types of 2-D models to either Lattices or Arrays. These must be 2 dimensional; for Lattices, the appropriate 2-D Lattice can be made with the SubLattice class.

You may fit more than one model simultaneously to the data. Models are added with the addModel method. With this method, you also specify the initial guesses of the parameters of the model. Any parameters involving coordinates are expected in zero-relative absolute pixel coordinates (e.g. the centre of a model). Additionally with the addModel method, you may specify which parameters are to be held fixed during the fitting process. This is done with the parameterMask Vector which is in the same order as the parameter Vector. A value of True indicates the parameter will be fitted for. Presently, when you say fix the minor axis, you really end up fixing the axial ratio (internals). I don't have a solution for this presently.

For Gaussians, the parameter Vector (input or output) consists, in order, of the peak, x location, y location, FWHM of major axis, FWHM of minor axis, and position angle of the major axis (in radians). The position angle is positive +x to +y in the pixel coordinate system ([0,0] in center of image) and in the range -2pi to 2pi. When the solution is recovered, the position angle will be in the range 0 to pi.

Example

To Do

Definition at line 101 of file Fit2D.h.


Member Enumeration Documentation

Enum describing output error conditions.

Enumerator:
OK 

ok

NOCONVERGE 

Did not converge.

FAILED 

Solution failed.

NOGOOD 

There were no unmasked points.

NOMODELS 

No models set.

nErrorTypes 

Number of conditions.

Definition at line 115 of file Fit2D.h.

Enum describing the different models you can fit.

Enumerator:
GAUSSIAN 
DISK 
LEVEL 
PLANE 
nTypes 

Definition at line 106 of file Fit2D.h.


Constructor & Destructor Documentation

casacore::Fit2D::Fit2D ( LogIO logger  )  [explicit]

Constructor.

casacore::Fit2D::~Fit2D (  ) 

Destructor.

casacore::Fit2D::Fit2D ( const Fit2D other  ) 

Copy constructor.

Uses copy semantics except for the logger for which a reference copy is made


Member Function Documentation

uInt casacore::Fit2D::addModel ( Fit2D::Types  type,
const Vector< Double > &  parameters 
)
uInt casacore::Fit2D::addModel ( Fit2D::Types  type,
const Vector< Double > &  parameters,
const Vector< Bool > &  parameterMask 
)

Add a model to the list to be simultaneously fit and return its index.

Specify the initial guesses for the model and a mask indicating whether the parameter is fixed (False) during the fit or not. Returns the the model number added (0, 1, 2 etc)

Vector<Double> casacore::Fit2D::availableErrors ( uInt iStart,
uInt  which 
) const [private]
Vector<Double> casacore::Fit2D::availableErrors ( uInt  which  )  const
Vector<Double> casacore::Fit2D::availableErrors (  )  const

The errors.

All available parameters (fixed and adjustable) are included in the error vectors. Unsolved for parameters will have error 0.

Vector<Double> casacore::Fit2D::availableSolution ( uInt iStart,
uInt  which 
) const [private]

Returns available (adjustable + fixed) solution for model of interest and tells you where it began in the full solution vector Does no axial ratio nor position angle conversions from direct fit solution vector.

Vector<Double> casacore::Fit2D::availableSolution ( uInt  which  )  const
Vector<Double> casacore::Fit2D::availableSolution (  )  const

Recover solution for either all model components or a specific one.

These functions will return an empty vector if there is no valid solution. All available parameters (fixed and adjustable) are included in the solution vectors.

Double casacore::Fit2D::chiSquared (  )  const

The chi squared of the fit.

Returns 0 if fit has been done.

static Vector<Bool> casacore::Fit2D::convertMask ( const String  fixedmask,
Fit2D::Types  type 
) [static]

Convert mask from a string to a vector.

The string gives the parameters to keep fixed in the fit (f (flux), x (x position), y (y position), a (FWHM major axis), b (FWHM minor axis), p (position angle)

String casacore::Fit2D::errorMessage (  )  const

If function fit failed, you will find a message here saying why it failed.

Vector<Double> casacore::Fit2D::estimate ( Fit2D::Types  type,
const Array< Float > &  data,
const Array< Bool > &  mask 
)
Vector<Double> casacore::Fit2D::estimate ( Fit2D::Types  type,
const Array< Float > &  data 
)
Vector<Double> casacore::Fit2D::estimate ( Fit2D::Types  type,
const Lattice< Float > &  data 
)
Vector<Double> casacore::Fit2D::estimate ( Fit2D::Types  type,
const MaskedLattice< Float > &  data 
)

Determine an initial estimate for the solution of the specified model type to the given data - no compound models are allowable in this function.

If you have specified an include or exclude pixel range to the fitter, that will be honoured. This function does not interact with the addModel function. Returns a zero length vector if it fails to make an estimate.

Fit2D::ErrorTypes casacore::Fit2D::fit ( const Array< Float > &  data,
const Array< Bool > &  mask,
const Array< Float > &  sigma 
)
Fit2D::ErrorTypes casacore::Fit2D::fit ( const Array< Float > &  data,
const Array< Float > &  sigma 
)
Fit2D::ErrorTypes casacore::Fit2D::fit ( const Lattice< Float > &  data,
const Lattice< Float > &  sigma 
)
Fit2D::ErrorTypes casacore::Fit2D::fit ( const MaskedLattice< Float > &  data,
const Lattice< Float > &  sigma 
)

Do the fit.

Returns an enum value to tell you what happened if the fit failed for some reasons. A message can also be found with function errorMessage if the fit was not successful. For Array(i,j) i is x and j is y

Fit2D::ErrorTypes casacore::Fit2D::fitData ( const Vector< Double > &  values,
const Matrix< Double > &  pos,
const Vector< Double > &  sigma 
) [private]
Vector<Double> casacore::Fit2D::getParams ( uInt  which  )  const [private]
Bool casacore::Fit2D::includeIt ( Float  value,
const Vector< Float > &  range,
Int  includeIt 
) const [inline, private]

Definition at line 315 of file Fit2D.h.

References casacore::False, and casacore::True.

uInt casacore::Fit2D::nModels (  )  const

Recover number of models.

static uInt casacore::Fit2D::nParameters ( Fit2D::Types  type  )  [static]

Return number of parameters for this type of model.

uInt casacore::Fit2D::numberIterations (  )  const

The number of iterations that the fitter finished with.

uInt casacore::Fit2D::numberPoints (  )  const

The number of points used for the last fit.

Fit2D& casacore::Fit2D::operator= ( const Fit2D other  ) 

Assignment operator.

Uses copy semantics except for the logger for which a reference copy is made

static Double casacore::Fit2D::paFromGauss2D ( Double  pa  )  [inline, static]

Convert p.a.

(radians) from positive +y -> -x (Gaussian2D) to positive +x -> +y (Fit2D)

Definition at line 271 of file Fit2D.h.

References casacore::C::pi_2.

static Double casacore::Fit2D::paToGauss2D ( Double  pa  )  [inline, static]

Convert p.a.

(radians) from positive +x -> +y (Fit2D) to positive +y -> -x (Gaussian2D)

Definition at line 267 of file Fit2D.h.

References casacore::C::pi_2.

void casacore::Fit2D::piRange ( Double pa  )  const [private]
void casacore::Fit2D::resetRange (  ) 
Fit2D::ErrorTypes casacore::Fit2D::residual ( Array< Float > &  resid,
Array< Float > &  model,
const Lattice< Float > &  data 
)
Fit2D::ErrorTypes casacore::Fit2D::residual ( Array< Float > &  resid,
Array< Float > &  model,
const MaskedLattice< Float > &  data 
)
Fit2D::ErrorTypes casacore::Fit2D::residual ( Array< Float > &  resid,
Array< Float > &  model,
const Array< Float > &  data,
Int  xOffset = 0,
int  yOffset = 0 
) const

Find the residuals to the fit.

xOffset and yOffset allow one to provide a data array that is offset in space from the grid that was fit. In this way, one can fill out a larger image than the subimage that was fit, for example. A negative value of xOffset means the supplied data array represents a grid that has a y axis left of the grid of pixels that was fit. A negative yOffset value means the supplied data array represents a grid that has an x axis that is below the x axis of the grid of pixels that was fit.

Bool casacore::Fit2D::selectData ( Matrix< Double > &  pos,
Vector< Double > &  values,
Vector< Double > &  weights,
const Array< Float > &  pixels,
const Array< Bool > &  mask,
const Array< Float > &  sigma 
) [private]
void casacore::Fit2D::setExcludeRange ( Double  minVal,
Double  maxVal 
)
void casacore::Fit2D::setIncludeRange ( Double  minVal,
Double  maxVal 
)

Set a pixel selection range.

When the fit is done, only pixels in the specified range are included/excluded. Only the last call of either of these will be active.

void casacore::Fit2D::setParams ( const Vector< Double > &  params,
uInt  which 
) [private]
Fit2D::Types casacore::Fit2D::type ( uInt  which  ) 

Find type of specific model.

static Fit2D::Types casacore::Fit2D::type ( const String type  )  [static]

Return string type as enum (min match).

static String casacore::Fit2D::type ( Fit2D::Types  type  )  [static]

Return type as a string.


Member Data Documentation

Definition at line 283 of file Fit2D.h.

Definition at line 284 of file Fit2D.h.

Definition at line 282 of file Fit2D.h.

Definition at line 280 of file Fit2D.h.

Definition at line 279 of file Fit2D.h.

Definition at line 276 of file Fit2D.h.

Definition at line 277 of file Fit2D.h.

LogIO casacore::Fit2D::itsLogger [mutable, private]

Definition at line 271 of file Fit2D.h.

Definition at line 285 of file Fit2D.h.

Definition at line 278 of file Fit2D.h.

Definition at line 281 of file Fit2D.h.

Definition at line 287 of file Fit2D.h.

Definition at line 276 of file Fit2D.h.

Definition at line 276 of file Fit2D.h.


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