A two dimension interpolator for Matrices or Arrays. More...

#include <Interpolate2D.h>

Public Types
enum	Method { NEAREST, LINEAR, CUBIC }
Public Member Functions
	Interpolate2D (Interpolate2D::Method method=Interpolate2D::LINEAR)
	Constructor.
	Interpolate2D (const Interpolate2D &other)
	Copy constructor (copy semantics)
	~Interpolate2D ()
	destructor
Interpolate2D &	operator= (const Interpolate2D &other)
	Assignment operator (copy semantics)
Bool	interp (Float &result, const Vector< Double > &where, const Matrix< Float > &data) const
	Do one Float interpolation, supply Matrix and mask (True is good), and pixel coordinate.
Bool	interp (Float &result, const Vector< Double > &where, const Matrix< Float > &data, const Matrix< Bool > &mask) const
Bool	interp (Double &result, const Vector< Double > &where, const Matrix< Double > &data) const
	Do one Double interpolation, supply Matrix/Array and mask (True is good), and pixel coordinate.
Bool	interp (Double &result, const Vector< Double > &where, const Matrix< Double > &data, const Matrix< Bool > &mask) const
Bool	interp (Double &resultI, Double &resultJ, const Vector< Double > &where, const Matrix< Double > &dataI, const Matrix< Double > &dataJ, const Matrix< Bool > &mask) const
	Do two linear interpolations simultaneously.
template<typename T >
Bool	interpLinear2 (T &resultI, T &resultJ, const Vector< Double > &where, const Matrix< T > &dataI, const Matrix< T > &dataJ, const Matrix< Bool > &mask) const
Bool	interp (Bool &result, const Vector< Double > &where, const Matrix< Bool > &data) const
	Do one interpolation, supply boolean Matrix (True is good), and pixel coordinate.
Method	interpolationMethod () const
	Recover interpolation method.
Static Public Member Functions
static Interpolate2D::Method	stringToMethod (const String &method)
	Convert string ("nearest", "linear", "cubic") to interpolation method Minimum match will do.
Private Types
typedef Bool(Interpolate2D::*	FuncPtrFloat )(Float &result, const Vector< Double > &where, const Matrix< Float > &data, const Matrix< Bool > *&maskPtr) const
	Typedefs for function pointers.
typedef Bool(Interpolate2D::*	FuncPtrDouble )(Double &result, const Vector< Double > &where, const Matrix< Double > &data, const Matrix< Bool > *&maskPtr) const
typedef Bool(Interpolate2D::*	FuncPtrBool )(Bool &result, const Vector< Double > &where, const Matrix< Bool > &data) const
Private Member Functions
Bool	anyBadMaskPixels (const Matrix< Bool > *&mask, Int i1, Int i2, Int j1, Int j2) const
	Are any of the mask pixels bad ? Returns False if no mask.
template<typename T >
Bool	interpNearest (T &result, const Vector< Double > &where, const Matrix< T > &data, const Matrix< Bool > *&maskPtr) const
	nearest neighbour interpolation
Bool	interpNearestBool (Bool &result, const Vector< Double > &where, const Matrix< Bool > &data) const
template<typename T >
Bool	interpLinear (T &result, const Vector< Double > &where, const Matrix< T > &data, const Matrix< Bool > *&maskPtr) const
	bi-linear interpolation
Bool	interpLinearBool (Bool &result, const Vector< Double > &where, const Matrix< Bool > &data) const
template<typename T >
Bool	interpCubic (T &result, const Vector< Double > &where, const Matrix< T > &data, const Matrix< Bool > *&maskPtr) const
	bi-cubic interpolation
Bool	interpCubicBool (Bool &result, const Vector< Double > &where, const Matrix< Bool > &data) const
void	bcucof (Double c[4][4], const Double y[4], const Double y1[4], const Double y2[4], const Double y12[4]) const
	helping routine from numerical recipes
Private Attributes
Interpolate2D::Method	itsMethod
FuncPtrFloat	itsFuncPtrFloat
FuncPtrDouble	itsFuncPtrDouble
FuncPtrBool	itsFuncPtrBool

Detailed Description

A two dimension interpolator for Matrices or Arrays.

Intended use:

Public interface

Review Status

Reviewed By:: wbrouw
Date Reviewed:: 2004/05/26

Prerequisite

Arrays

Etymology

This class is called Interpolate2D because it does 2 dimensional interpolations

Synopsis

Given a regular Array or Matrix and a vector of pixel coordinates, interpolate the values of that array/matrix onto those pixel coordinates.

Absolutely no checking of the consistency of the input data is done in order to preserve maximum speed. The coordinate vector must have at least 2 elements (others will be ignored). If you supply data and mask, those arrays must be the same shape. Failure to follow these rules will result in your program crashing.

Example

    Matrix<Float> matt(10,10);
    Vector<Float> where(2);  
    where(0) = 3.452;  where(1) = 6.1;
    Interpolate2D myInterp(Interpolate2D::LINEAR);
    Float result;
    Bool ok = myInterp(result, where, matt);

Motivation

2-D interpolation is required in geometry transformation routines such as in ImageRegrid.

To Do

Now that there are float/double/bool versions, the class should be templated and specialized versions made as needed. The code duplucation in the Float/Double versions is pretty awful presently.
Alternative approach: instantiate with an Array, take a block of vector locations, return a block of interpolation results

Definition at line 99 of file Interpolate2D.h.

Member Typedef Documentation

typedef Bool(Interpolate2D::* casa::Interpolate2D::FuncPtrBool)(Bool &result, const Vector< Double > &where, const Matrix< Bool > &data) const [private]

Definition at line 232 of file Interpolate2D.h.

typedef Bool(Interpolate2D::* casa::Interpolate2D::FuncPtrDouble)(Double &result, const Vector< Double > &where, const Matrix< Double > &data, const Matrix< Bool > *&maskPtr) const [private]

Definition at line 227 of file Interpolate2D.h.

typedef Bool(Interpolate2D::* casa::Interpolate2D::FuncPtrFloat)(Float &result, const Vector< Double > &where, const Matrix< Float > &data, const Matrix< Bool > *&maskPtr) const [private]

Typedefs for function pointers.

Definition at line 222 of file Interpolate2D.h.

Member Enumeration Documentation

enum casa::Interpolate2D::Method

Enumerator:

NEAREST	Nearest neighbour.
LINEAR	Bilinear.
CUBIC	Bicubic.

Definition at line 102 of file Interpolate2D.h.

Constructor & Destructor Documentation

casa::Interpolate2D::Interpolate2D ( Interpolate2D::Method method = Interpolate2D::LINEAR )

Constructor.

casa::Interpolate2D::Interpolate2D ( const Interpolate2D & other )

Copy constructor (copy semantics)

casa::Interpolate2D::~Interpolate2D ( )

destructor

Member Function Documentation

Bool casa::Interpolate2D::anyBadMaskPixels	(	const Matrix< Bool > *&	mask,
		Int	i1,
		Int	i2,
		Int	j1,
		Int	j2
	)		const `[private]`

Are any of the mask pixels bad ? Returns False if no mask.

void casa::Interpolate2D::bcucof	(	Double	c[4][4],
		const Double	y[4],
		const Double	y1[4],
		const Double	y2[4],
		const Double	y12[4]
	)		const `[private]`

helping routine from numerical recipes

Bool casa::Interpolate2D::interp	(	Float &	result,
		const Vector< Double > &	where,
		const Matrix< Float > &	data
	)		const

Do one Float interpolation, supply Matrix and mask (True is good), and pixel coordinate.

Returns False if coordinate out of range or data are masked. No shape integrity checking is done (see above).

Bool casa::Interpolate2D::interp	(	Float &	result,
		const Vector< Double > &	where,
		const Matrix< Float > &	data,
		const Matrix< Bool > &	mask
	)		const

Bool casa::Interpolate2D::interp	(	Double &	result,
		const Vector< Double > &	where,
		const Matrix< Double > &	data
	)		const

Do one Double interpolation, supply Matrix/Array and mask (True is good), and pixel coordinate.

Returns False if coordinate out of range or data are masked. No shape integrity checking is done (see above).

Bool casa::Interpolate2D::interp	(	Double &	result,
		const Vector< Double > &	where,
		const Matrix< Double > &	data,
		const Matrix< Bool > &	mask
	)		const

Bool casa::Interpolate2D::interp	(	Double &	resultI,
		Double &	resultJ,
		const Vector< Double > &	where,
		const Matrix< Double > &	dataI,
		const Matrix< Double > &	dataJ,
		const Matrix< Bool > &	mask
	)		const

Do two linear interpolations simultaneously.

The second call is direct. The first call transfers to the second call. It is assumed that the structure (shape, steps) of the mask and data files are the same.

Bool casa::Interpolate2D::interp	(	Bool &	result,
		const Vector< Double > &	where,
		const Matrix< Bool > &	data
	)		const

Do one interpolation, supply boolean Matrix (True is good), and pixel coordinate.

Returns False if coordinate out of range. The result is False if any data value in the interpolation grid are False (bad), else True. No shape integrity checking is done.

template<typename T >

Bool casa::Interpolate2D::interpCubic	(	T &	result,
		const Vector< Double > &	where,
		const Matrix< T > &	data,
		const Matrix< Bool > *&	maskPtr
	)		const `[private]`

bi-cubic interpolation

Bool casa::Interpolate2D::interpCubicBool	(	Bool &	result,
		const Vector< Double > &	where,
		const Matrix< Bool > &	data
	)		const `[private]`

template<typename T >

Bool casa::Interpolate2D::interpLinear	(	T &	result,
		const Vector< Double > &	where,
		const Matrix< T > &	data,
		const Matrix< Bool > *&	maskPtr
	)		const `[private]`

bi-linear interpolation

template<typename T >

Bool casa::Interpolate2D::interpLinear2	(	T &	resultI,
		T &	resultJ,
		const Vector< Double > &	where,
		const Matrix< T > &	dataI,
		const Matrix< T > &	dataJ,
		const Matrix< Bool > &	mask
	)		const

Bool casa::Interpolate2D::interpLinearBool	(	Bool &	result,
		const Vector< Double > &	where,
		const Matrix< Bool > &	data
	)		const `[private]`

template<typename T >

Bool casa::Interpolate2D::interpNearest	(	T &	result,
		const Vector< Double > &	where,
		const Matrix< T > &	data,
		const Matrix< Bool > *&	maskPtr
	)		const `[private]`

nearest neighbour interpolation

Bool casa::Interpolate2D::interpNearestBool	(	Bool &	result,
		const Vector< Double > &	where,
		const Matrix< Bool > &	data
	)		const `[private]`

Method casa::Interpolate2D::interpolationMethod ( ) const [inline]

Recover interpolation method.

Definition at line 178 of file Interpolate2D.h.

References itsMethod.

Interpolate2D& casa::Interpolate2D::operator= ( const Interpolate2D & other )

Assignment operator (copy semantics)

static Interpolate2D::Method casa::Interpolate2D::stringToMethod ( const String & method ) [static]

Convert string ("nearest", "linear", "cubic") to interpolation method Minimum match will do.

Member Data Documentation

FuncPtrBool casa::Interpolate2D::itsFuncPtrBool [private]

Definition at line 238 of file Interpolate2D.h.

FuncPtrDouble casa::Interpolate2D::itsFuncPtrDouble [private]

Definition at line 237 of file Interpolate2D.h.

FuncPtrFloat casa::Interpolate2D::itsFuncPtrFloat [private]

Definition at line 236 of file Interpolate2D.h.

Interpolate2D::Method casa::Interpolate2D::itsMethod [private]

Definition at line 218 of file Interpolate2D.h.

Referenced by interpolationMethod().

The documentation for this class was generated from the following file:

casacore/scimath/Mathematics/Interpolate2D.h

Public Types

Public Member Functions

Static Public Member Functions

Private Types

Private Member Functions

Private Attributes

Detailed Description

Intended use:

Review Status

Prerequisite

Etymology

Synopsis

Example

Motivation

To Do

Member Typedef Documentation

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation