This filter uses an inverse B-Spline convolution function to transform a discrete signal to its spline representation. More...

#include <aims/signalfilter/splinefilter.h>

Inheritance diagram for aims::InverseBSplineFilter:

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Collaboration diagram for aims::InverseBSplineFilter:

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Public Member Functions

	InverseBSplineFilter (unsigned order=3)
	Constructor / Copy. More...

	InverseBSplineFilter (const InverseBSplineFilter &other)
	The internal order of the copied filter is kept, meaning that the built filter's order might differ from N and ORDER. More...

virtual	~InverseBSplineFilter ()

InverseBSplineFilter &	operator= (const InverseBSplineFilter &other)
	The internal order of the copied filter is kept, meaning that the built filter's order might differ from N and ORDER. More...


const unsigned &	order () const
	Parameters. More...

void	setOrder (const unsigned &order)
	Set spline order The gain and poles of the underlying IIR filter will be updated accordingly. More...

Public Member Functions inherited from aims::SymAllPoleIIRFilter
	SymAllPoleIIRFilter (const double gain=0., const std::vector< double > &poles=std::vector< double >())
	Constructor / Destructor / Copy. More...

	SymAllPoleIIRFilter (const SymAllPoleIIRFilter &other)

virtual	~SymAllPoleIIRFilter ()

SymAllPoleIIRFilter &	operator= (const SymAllPoleIIRFilter &other)

virtual void	filter1d (const carto::VolumeRef< double > in, carto::VolumeRef< double > out, int dir=-1) const
	Execution. More...

const double &	gain () const
	Parameters. More...

const std::vector< double > &	poles () const

void	setPoles (const std::vector< double > &poles)

void	addPole (const double &pole)

void	setGain (const double &gain)
	Relative to Unser & al, gain = c0. More...

void	setModePreciseGain (bool precise=true)
	If this mode is activated, provided gain should be c * prod(-poles). More...

Public Member Functions inherited from aims::IIRFilterBase
	IIRFilterBase ()
	Constructor / Destructor / Copy. More...

	IIRFilterBase (const IIRFilterBase &other)

virtual	~IIRFilterBase ()

IIRFilterBase &	operator= (const IIRFilterBase &other)

template<typename T >
carto::VolumeRef< double >	execute (const carto::VolumeRef< T > &in) const
	Execution. More...

carto::VolumeRef< double >	execute (carto::VolumeRef< double > &in, bool inplace=false) const

virtual const std::vector< bool > &	directions () const
	Parameters. More...

virtual void	setDirections (const std::vector< bool > &dir)

virtual void	setDirections (bool dirx, bool diry, bool dirz, bool dirt)

virtual void	setDirectionX (bool dirx)
	default: true More...

virtual void	setDirectionY (bool diry)
	default: true More...

virtual void	setDirectionZ (bool dirz)
	default: true More...

virtual void	setDirectionT (bool dirt)
	default: false More...

virtual const FilterType::Boundary &	boundary () const
	Because the filter is infinite, the signal must be extended outisde the image domain. More...

virtual void	setBoundary (const FilterType::Boundary &boundary)

virtual void	setVerbose (int verbose=1)
	Verbosity level. More...

virtual void	setQuiet ()
	Set verbosity level to 0 -> Remove all possible traces. More...

Protected Member Functions

void	setPoles ()
	Helpers. More...

Protected Member Functions inherited from aims::SymAllPoleIIRFilter
void	computeK0 ()
	Helpers. More...

void	computePreciseGain ()

Protected Member Functions inherited from aims::IIRFilterBase
virtual void	filter (carto::VolumeRef< double > vol) const
	Helpers. More...

virtual void	filter1d (carto::VolumeRef< double > vol, int dir=-1, carto::VolumeRef< double > tmp=carto::VolumeRef< double >((carto::Volume< double > *) 0)) const
	redirection for in place fitlering More...

virtual double &	at (carto::VolumeRef< double > &vector, long k, int dir) const
	Fast access : k must be in [0, size-1]. More...

virtual const double &	at (const carto::VolumeRef< double > &vector, long k, int dir) const
	Fast access : k must be in [0, size-1]. More...

virtual double	at (const carto::VolumeRef< double > &vector, long k, int dir, long fullsize, int binf) const
	Mirror access : k can be outside [0, size - 1]. More...

virtual long	mirrorCoeff (long i, long size) const
	If i is outside [0, size-1], it is mirrored to fall inside. More...

virtual long	selectCoeff (long i, long fullsize, int binf) const
	If i is outside [binf, fullsize-1], it is mirrored to fall inside. More...

virtual long	computeK0 (double pole, double tolerance=-1.) const
	compute K0 so that pole^K0 < precision More...

Protected Attributes
unsigned	_order

Protected Attributes inherited from aims::SymAllPoleIIRFilter
std::vector< double >	_poles

std::vector< long >	_k0

double	_gain

double	_precisegain

bool	_precise

Protected Attributes inherited from aims::IIRFilterBase
int	_verbose

std::vector< bool >	_dir

FilterType::Boundary	_boundary

FilterType::CopyType	_copy

Detailed Description

This filter uses an inverse B-Spline convolution function to transform a discrete signal to its spline representation.

This is the underlying process used for spline interpolation.

It actually performs a direct spline transformation (image space -> spline space)

See: Unser, Aldroubi & Eden, "B-Spline Signal Processing" in IEEE Transactions on Signal Processing (1993)

Definition at line 61 of file splinefilter.h.

Constructor & Destructor Documentation

◆ InverseBSplineFilter() [1/2]

aims::InverseBSplineFilter::InverseBSplineFilter ( unsigned order = 3 )

Constructor / Copy.

Even though the spline order is templated, it can be overriden at run time.

◆ InverseBSplineFilter() [2/2]

aims::InverseBSplineFilter::InverseBSplineFilter ( const InverseBSplineFilter & other )

The internal order of the copied filter is kept, meaning that the built filter's order might differ from N and ORDER.

◆ ~InverseBSplineFilter()

virtual aims::InverseBSplineFilter::~InverseBSplineFilter ( )

virtual

Member Function Documentation

◆ operator=()

InverseBSplineFilter& aims::InverseBSplineFilter::operator= ( const InverseBSplineFilter & other )

The internal order of the copied filter is kept, meaning that the built filter's order might differ from N and ORDER.

◆ order()

const unsigned& aims::InverseBSplineFilter::order ( ) const

Parameters.

Get spline order

◆ setOrder()

void aims::InverseBSplineFilter::setOrder ( const unsigned & order )

Set spline order The gain and poles of the underlying IIR filter will be updated accordingly.

◆ setPoles()

void aims::InverseBSplineFilter::setPoles ( )

protected

Helpers.

Set the poles of the underlying IIR filter that corresponds to the chosen order.

Member Data Documentation

◆ _order

unsigned aims::InverseBSplineFilter::_order