#include <MultiLevelFreeFormTransformation.h>

Inheritance diagram for mirtk::MultiLevelFreeFormTransformation:

Collaboration diagram for mirtk::MultiLevelFreeFormTransformation:

Public Member Functions
virtual double	Approximate (const ImageAttributes &, double , double , double *, int=1, double=.0)

virtual double	Approximate (const double , const double , const double , double , double , double , int, int=1, double=.0)

virtual double	Approximate (const double , const double , const double , const double , double , double , double *, int, int=1, double=.0)

virtual double	ApproximateAsNew (const ImageAttributes &, double , double , double *, int=1, double=.0)

virtual double	ApproximateAsNew (const double , const double , const double , double , double , double , int, int=1, double=.0)

virtual double	ApproximateAsNew (const double , const double , const double , const double , double , double , double *, int, int=1, double=.0)

virtual void	ApproximateDOFs (const double , const double , const double , const double , const double , const double , const double *, int)

virtual void	ApproximateDOFsGradient (const double , const double , const double , const double , const double , const double , const double , int, double , double=1.0) const

double	Bending (double, double, double) const
	Bending of multi-level free-form deformation.

virtual bool	CanModifyDisplacement (int=-1) const

virtual void	CombineLocalTransformation ()
	Combine local transformations on stack.

virtual void	DeriveJacobianWrtDOF (Matrix &, int, double, double, double, double=0, double=NaN) const
	Calculates the derivative of the Jacobian of the transformation (w.r.t. world coordinates) w.r.t. a transformation parameter.

virtual void	Displacement (int, int, GenericImage< double > &, double, double=NaN, const WorldCoordsImage *=NULL) const

virtual void	Displacement (int, int, GenericImage< float > &, double, double=NaN, const WorldCoordsImage *=NULL) const

virtual void	DisplacementAfterDOFChange (int dof, double dv, GenericImage< double > &dx, double t, double t0=-1, const WorldCoordsImage *i2w=NULL) const

bool	DOFBoundingBox (const Image *, int, int &, int &, int &, int &, int &, int &, double=1) const

virtual void	Hessian (int, int, Matrix [3], double, double, double, double=0, double=NaN) const
	Calculates the Hessian for each component of the transformation w.r.t world coordinates.

virtual int	InverseDisplacement (int, int, GenericImage< double > &, double, double=NaN, const WorldCoordsImage *=NULL) const

virtual int	InverseDisplacement (int, int, GenericImage< float > &, double, double=NaN, const WorldCoordsImage *=NULL) const

virtual void	Jacobian (int, int, Matrix &, double, double, double, double=0, double=NaN) const
	Calculates the Jacobian of the transformation w.r.t world coordinates.

virtual void	LocalTransform (int, int, double &, double &, double &, double=0, double=NaN) const
	Transforms a single point using the local transformation component only.

virtual void	MergeGlobalIntoLocalDisplacement ()

	MultiLevelFreeFormTransformation ()
	Default constructor.

	MultiLevelFreeFormTransformation (const RigidTransformation &)
	Construct multi-level transformation given a rigid transformation.

	MultiLevelFreeFormTransformation (const AffineTransformation &)
	Construct multi-level transformation given an affine transformation.

	MultiLevelFreeFormTransformation (const MultiLevelFreeFormTransformation &)
	Copy constructor.

virtual void	ParametricGradient (const GenericImage< double > , double , const WorldCoordsImage =NULL, const WorldCoordsImage =NULL, double=NaN, double=1) const

virtual void	ParametricGradient (const PointSet &, const Vector3D< double > , double , double=0, double=NaN, double=1) const

virtual void	Print (ostream &, Indent=0) const
	Prints the parameters of the transformation.

virtual void	Transform (int, int, double &, double &, double &, double=0, double=NaN) const
	Transforms a single point.

virtual	~MultiLevelFreeFormTransformation ()
	Destructor.

Public Member Functions inherited from mirtk::MultiLevelTransformation
virtual void	Add (const DOFValue *)
	Add change to transformation parameters.

virtual double	BendingEnergy (int, int, double, double, double, double=0, double=NaN, bool=true) const
	Calculates the bending energy of the transformation.

virtual double	BendingEnergy (int, double, double, double, double=0, double=NaN, bool=true) const
	Calculates the bending energy of the transformation.

virtual double	BendingEnergy (double, double, double, double=0, double=NaN, bool=true) const
	Calculates the bending energy of the transformation.

virtual void	Clear ()
	Reset transformation and remove all local transformations.

virtual bool	CopyFrom (const Transformation *)

virtual void	Displacement (int, int, double &, double &, double &, double=0, double=NaN) const
	Calculates the displacement of a single point.

virtual void	Displacement (int, double &, double &, double &, double=0, double=NaN) const
	Calculates the displacement of a single point.

virtual void	Displacement (int, int, GenericImage< double > &, double=NaN, const WorldCoordsImage *=NULL) const
	Calculates the displacement vectors for a whole image domain.

virtual void	Displacement (int, int, GenericImage< float > &, double=NaN, const WorldCoordsImage *=NULL) const
	Calculates the displacement vectors for a whole image domain.

virtual void	Displacement (int, GenericImage< double > &, double=NaN, const WorldCoordsImage *=NULL) const
	Calculates the displacement vectors for a whole image domain.

virtual void	Displacement (int, GenericImage< float > &, double=NaN, const WorldCoordsImage *=NULL) const
	Calculates the displacement vectors for a whole image domain.

virtual void	Displacement (int, GenericImage< double > &, double, double=NaN, const WorldCoordsImage *=NULL) const

virtual void	Displacement (int, GenericImage< float > &, double, double=NaN, const WorldCoordsImage *=NULL) const

virtual void	Displacement (GenericImage< double > &, double, double=NaN, const WorldCoordsImage *=NULL) const

virtual void	Displacement (GenericImage< float > &, double, double=NaN, const WorldCoordsImage *=NULL) const

virtual double	DOFGradientNorm (const double *) const
	Get norm of the gradient vector.

virtual double	Get (int) const
	Get value of transformation parameter.

virtual void	Get (DOFValue *) const
	Get values of transformation parameters.

virtual AffineTransformation *	GetGlobalTransformation ()
	Gets global transformation.

virtual const AffineTransformation *	GetGlobalTransformation () const
	Get global transformation.

virtual FreeFormTransformation *	GetLocalTransformation (int)
	Gets local transformation.

virtual const FreeFormTransformation *	GetLocalTransformation (int) const
	Gets local transformation.

virtual DOFStatus	GetStatus (int) const
	Get status of transformation parameter.

virtual void	GlobalHessian (Matrix [3], double, double, double, double=0, double=NaN) const
	Calculates the Hessian for each component of the global transformation w.r.t world coordinates.

virtual void	GlobalInverse (double &, double &, double &, double=0, double=NaN) const
	Transforms a single point using the inverse of the global transformation only.

virtual void	GlobalJacobian (Matrix &, double, double, double, double=0, double=NaN) const
	Calculates the Jacobian of the global transformation w.r.t world coordinates.

virtual void	GlobalTransform (double &, double &, double &, double=0, double=NaN) const
	Transforms a single point using the global transformation component only.

virtual bool	HasSameDOFsAs (const Transformation *) const
	Checks whether transformation depends on the same vector of parameters.

virtual void	Hessian (int, Matrix [3], double, double, double, double=0, double=NaN) const
	Calculates the Hessian for each component of the transformation w.r.t world coordinates.

virtual void	Hessian (Matrix [3], double, double, double, double=0, double=NaN) const
	Calculates the Hessian for each component of the transformation w.r.t world coordinates.

virtual void	InsertLocalTransformation (FreeFormTransformation *, int=0, bool=true)
	Insert local transformation.

virtual bool	Inverse (int, int, double &, double &, double &, double=0, double=NaN) const
	Transforms a single point using the inverse of the transformation.

virtual bool	Inverse (int, double &, double &, double &, double=0, double=NaN) const
	Transforms a single point using the inverse of the transformation.

virtual bool	Inverse (double &, double &, double &, double=0, double=NaN) const
	Transforms a single point using the inverse of the transformation.

virtual bool	InverseDisplacement (int, int, double &, double &, double &, double=0, double=NaN) const
	Calculates the displacement of a single point using the inverse of the transformation.

virtual bool	InverseDisplacement (int, double &, double &, double &, double=0, double=NaN) const
	Calculates the displacement of a single point using the inverse of the transformation.

virtual int	InverseDisplacement (int, GenericImage< double > &, double, double=NaN, const WorldCoordsImage *=NULL) const

virtual int	InverseDisplacement (int, GenericImage< float > &, double, double=NaN, const WorldCoordsImage *=NULL) const

virtual int	InverseDisplacement (GenericImage< double > &, double, double=NaN, const WorldCoordsImage *=NULL) const

virtual int	InverseDisplacement (GenericImage< float > &, double, double=NaN, const WorldCoordsImage *=NULL) const

virtual bool	IsIdentity () const
	Checks whether transformation is an identity mapping.

virtual void	Jacobian (int, Matrix &, double, double, double, double=0, double=NaN) const
	Calculates the Jacobian of the transformation w.r.t world coordinates.

virtual void	Jacobian (Matrix &, double, double, double, double=0, double=NaN) const
	Calculates the Jacobian of the transformation w.r.t world coordinates.

virtual double	Jacobian (int, int, double, double, double, double=0, double=NaN) const
	Calculates the determinant of the Jacobian of the transformation w.r.t world coordinates.

virtual double	Jacobian (int, double, double, double, double=0, double=NaN) const
	Calculates the determinant of the Jacobian of the transformation w.r.t world coordinates.

virtual void	JacobianDOFs (double [3], int, double, double, double, double=0, double=NaN) const
	Calculates the Jacobian of the transformation w.r.t the transformation parameters.

virtual void	LocalDisplacement (int, int, double &, double &, double &, double=0, double=NaN) const
	Calculates the displacement of a single point using the local transformation component only.

virtual void	LocalDisplacement (int, double &, double &, double &, double=0, double=NaN) const
	Calculates the displacement of a single point using the local transformation component only.

virtual void	LocalHessian (int, Matrix [3], double, double, double, double=0, double=NaN) const
	Calculates the Hessian for each component of the local transformation w.r.t world coordinates.

virtual void	LocalHessian (Matrix [3], double, double, double, double=0, double=NaN) const
	Calculates the Hessian for each component of the local transformation w.r.t world coordinates.

virtual bool	LocalInverse (int, int, double &, double &, double &, double=0, double=NaN) const
	Transforms a single point using the inverse of the local transformation only.

virtual bool	LocalInverse (int, double &, double &, double &, double=0, double=NaN) const
	Transforms a single point using the inverse of the local transformation only.

virtual bool	LocalInverse (double &, double &, double &, double=0, double=NaN) const
	Transforms a single point using the inverse of the local transformation only.

virtual bool	LocalInverseDisplacement (int, int, double &, double &, double &, double=0, double=NaN) const
	Calculates the displacement of a single point using the inverse of the local transformation only.

virtual bool	LocalInverseDisplacement (int, double &, double &, double &, double=0, double=NaN) const
	Calculates the displacement of a single point using the inverse of the local transformation only.

virtual void	LocalJacobian (int, Matrix &, double, double, double, double=0, double=NaN) const
	Calculates the Jacobian of the local transformation w.r.t world coordinates.

virtual void	LocalJacobian (Matrix &, double, double, double, double=0, double=NaN) const
	Calculates the Jacobian of the local transformation w.r.t world coordinates.

virtual double	LocalJacobian (int, double, double, double, double=0, double=NaN) const
	Calculates the determinant of the Jacobian of the local transformation w.r.t world coordinates.

virtual void	LocalTransform (int, double &, double &, double &, double=0, double=NaN) const
	Transforms a single point using the local transformation component only.

virtual void	LocalTransform (double &, double &, double &, double=0, double=NaN) const
	Transforms a single point using the local transformation component only.

virtual bool	LocalTransformationIsActive (int) const
	Get whether local transformation is active.

virtual void	LocalTransformationStatus (int, FFDStatus)
	Put status of local transformation.

virtual FFDStatus	LocalTransformationStatus (int) const
	Get status of local transformation.

virtual int	NumberOfActiveCPs () const
	Returns the total number of active control points on all active levels.

virtual int	NumberOfActiveLevels () const
	Returns the number of active levels.

virtual int	NumberOfCPs (bool=false) const
	Returns the total number of control points.

virtual int	NumberOfDOFs () const
	Get number of transformation parameters.

virtual int	NumberOfLevels () const
	Returns the number of levels.

virtual int	NumberOfPassiveLevels () const
	Returns the number of passive levels.

virtual ParameterList	Parameter () const
	Get (non-DoF) parameters as key/value as string map.

virtual FreeFormTransformation *	PopLocalTransformation ()
	Pop local transformation from stack (remove last transformation)

virtual void	PushLocalTransformation (FreeFormTransformation *, bool=true)
	Push local transformation on stack (append transformation)

virtual void	Put (int, double)
	Put value of transformation parameter.

virtual void	Put (const DOFValue *)
	Put values of transformation parameters.

virtual FreeFormTransformation *	PutLocalTransformation (FreeFormTransformation *, int, bool=true)
	Put local transformation and return pointer to previous one (needs to be deleted if not used)

virtual void	PutStatus (int, DOFStatus)
	Put status of transformation parameter.

virtual FreeFormTransformation *	RemoveLocalTransformation (int=0)
	Remove local transformation and return the pointer (need to be deleted if not used)

virtual bool	RequiresCachingOfDisplacements () const

virtual void	Reset ()
	Reset transformation (does not remove local transformations)

virtual bool	Set (const char , const char )
	Set named (non-DoF) parameter from value as string.

virtual void	Transform (int, double &, double &, double &, double=0, double=NaN) const
	Transforms a single point.

virtual void	Transform (double &, double &, double &, double=0, double=NaN) const
	Transforms a single point.

virtual void	Transform (int, int, Point &, double=0, double=NaN) const
	Transforms a single point.

virtual void	Transform (int, Point &, double=0, double=NaN) const
	Transforms a single point.

virtual void	Transform (int, int, PointSet &, double=0, double=NaN) const
	Transforms a set of points.

virtual void	Transform (int, PointSet &, double=0, double=NaN) const
	Transforms a set of points.

virtual double	Update (const DOFValue *)
	Update transformation parameters given parametric gradient.

virtual	~MultiLevelTransformation ()
	Destructor.

Public Member Functions inherited from mirtk::Transformation
virtual double	Approximate (const ImageAttributes &, const Transformation *, int=1, double=.0)
	Approximate another transformation and return approximation error.

virtual double	Approximate (GenericImage< double > &, int=1, double=.0)

virtual double	ApproximateAsNew (const ImageAttributes &, const Transformation *, int=1, double=.0)
	Approximate another transformation and return approximation error.

virtual double	ApproximateAsNew (GenericImage< double > &, int=1, double=.0)

virtual void	ApproximateGradient (const ImageAttributes &, const double , const double , const double , double , double=1.0) const

virtual void	ApproximateGradient (const double , const double , const double , const double , const double , const double , int, double *, double=1.0) const

virtual void	ApproximateGradient (const double , const double , const double , const double , const double , const double , const double , int, double , double=1.0) const

virtual bool	CanRead (TransformationType) const
	Whether this transformation can read a file of specified type (i.e. format)

virtual void	Displacement (double &, double &, double &, double=0, double=NaN) const
	Calculates the displacement of a single point.

virtual void	Displacement (const ImageAttributes &, double , double , double *) const

virtual void	Displacement (GenericImage< double > &, double=NaN, const WorldCoordsImage *=NULL) const
	Calculates the displacement vectors for a whole image domain.

virtual void	Displacement (GenericImage< float > &, double=NaN, const WorldCoordsImage *=NULL) const
	Calculates the displacement vectors for a whole image domain.

double	EvaluateRMSError (const ImageAttributes &, const Transformation *) const
	Evaluates RMS error of transformation compared to another.

double	EvaluateRMSError (const ImageAttributes &, double , double ) const

double	EvaluateRMSError (const ImageAttributes &, double , double , double *) const

double	EvaluateRMSError (const double , const double , const double , double, double , double , double , int no) const
	Evaluates RMS error of transformation compared to displacement field.

double	EvaluateRMSError (const double , const double , const double , const double , double , double , double *, int no) const
	Evaluates RMS error of transformation compared to given displacement field.

virtual void	GlobalDisplacement (double &, double &, double &, double=0, double=NaN) const
	Calculates the displacement of a single point using the global transformation component only.

virtual void	GlobalInverseDisplacement (double &, double &, double &, double=0, double=NaN) const
	Calculates the displacement of a single point using the inverse of the global transformation only.

virtual double	GlobalJacobian (double, double, double, double=0, double=NaN) const
	Calculates the determinant of the Jacobian of the global transformation w.r.t world coordinates.

virtual bool	Inverse (Point &, double=0, double=NaN) const
	Transforms a single point using the inverse of the transformation.

virtual int	Inverse (PointSet &, double=0, double=NaN) const

virtual bool	InverseDisplacement (double &, double &, double &, double=0, double=NaN) const
	Calculates the displacement of a single point using the inverse of the transformation.

virtual int	InverseDisplacement (const ImageAttributes &, double , double , double *) const

virtual int	InverseDisplacement (GenericImage< double > &, double=NaN, const WorldCoordsImage *=NULL) const

virtual int	InverseDisplacement (GenericImage< float > &, double=NaN, const WorldCoordsImage *=NULL) const

virtual double	Jacobian (double, double, double, double=0, double=NaN) const
	Calculates the determinant of the Jacobian of the transformation w.r.t world coordinates.

virtual void	LocalDisplacement (double &, double &, double &, double=0, double=NaN) const
	Calculates the displacement of a single point using the local transformation component only.

virtual bool	LocalInverseDisplacement (double &, double &, double &, double=0, double=NaN) const
	Calculates the displacement of a single point using the inverse of the local transformation only.

virtual double	LocalJacobian (double, double, double, double=0, double=NaN) const
	Calculates the determinant of the Jacobian of the local transformation w.r.t world coordinates.

int	NumberOfActiveDOFs () const
	Get number of active transformation parameters.

int	NumberOfPassiveDOFs () const
	Get number of passive transformation parameters.

void	ParametricGradient (const GenericImage< double > , double , const WorldCoordsImage *, double=NaN, double=1) const

void	ParametricGradient (const GenericImage< double > , double , double=NaN, double=1) const

virtual void	ParametricGradient (const GenericImage< double > *, int, double , const WorldCoordsImage , const WorldCoordsImage , const double *=NULL, double=1) const

void	ParametricGradient (const GenericImage< double > *, int, double , const WorldCoordsImage , const double =NULL, double=1) const

void	ParametricGradient (const GenericImage< double > *, int, double , const double *=NULL, double=1) const

void	Print (Indent=0) const
	Prints information about the transformation.

virtual void	Read (const char *)
	Reads a transformation from a file.

virtual Cifstream &	Read (Cifstream &)
	Reads a transformation from a file stream.

virtual void	Transform (Point &, double=0, double=NaN) const
	Transforms a single point.

virtual void	Transform (PointSet &, double=0, double=NaN) const
	Transforms a set of points.

virtual void	Transform (int, double , double , double *, double=0, double=NaN) const
	Transforms a set of points.

virtual void	Transform (int, double , double , double , const double , double=NaN) const
	Transforms a set of points.

virtual void	Transform (WorldCoordsImage &, double=NaN) const
	Transforms world coordinates of image voxels.

virtual TransformationType	TypeOfClass () const
	Returns type ID of the instantiated transformation class.

virtual void	Verify ()

virtual void	Write (const char *) const
	Writes a transformation to a file.

virtual Cofstream &	Write (Cofstream &) const
	Writes a transformation to a file stream.

virtual	~Transformation ()
	Default destructor.

Public Member Functions inherited from mirtk::Observable
void	AddObserver (Observer &)
	Add observer.

void	Broadcast (Event, const void *=NULL)
	Broadcast event to observers.

void	ClearObservers ()
	Delete all observers.

void	DeleteObserver (Observer &)
	Delete observer.

void	NotifyObservers (Event, const void *=NULL)
	Notify all observers about given event if this object has changed.

int	NumberOfObservers () const
	Number of current observers.

virtual	~Observable ()
	Destructor.

Public Member Functions inherited from mirtk::Object
virtual const char *	NameOfClass () const =0
	Get name of class, which this object is an instance of.

bool	Parameter (const ParameterList &)
	Set parameters from name/value pairs.

virtual	~Object ()
	Destructor.

Additional Inherited Members
Public Types inherited from mirtk::MultiLevelTransformation
typedef Status	FFDStatus
	Type of local transformation status.

Public Types inherited from mirtk::Transformation
typedef Status	DOFStatus
	Type of transforamtion parameter status.

typedef double	DOFValue
	Type of transformation parameter value.

Static Public Member Functions inherited from mirtk::Transformation
static bool	CheckHeader (const char *)
	Whether magic number in header of given file.

static Transformation *	New (TransformationType)

static Transformation *	New (const Transformation *)

static Transformation *	New (const char *)

static TransformationType	TypeOfClass (const char *)
	Returns type ID corresponding to transformations of the named class.

Static Public Member Functions inherited from mirtk::Object
static const char *	NameOfType ()
	Get name of this class type.

Protected Member Functions inherited from mirtk::MultiLevelTransformation
virtual void	CheckTransformation (FreeFormTransformation *) const
	Checks whether a given transformation is supported as local transformation.

void	InterpolateGlobalDisplacement (FreeFormTransformation *)
	Helper function for MergeGlobalIntoLocalDisplacement.

	MultiLevelTransformation ()
	Default constructor.

	MultiLevelTransformation (const RigidTransformation &)
	Construct multi-level transformation given a rigid transformation.

	MultiLevelTransformation (const AffineTransformation &)
	Construct multi-level transformation given an affine transformation.

	MultiLevelTransformation (const MultiLevelTransformation &)
	Copy constructor.

virtual Cifstream &	ReadDOFs (Cifstream &, TransformationType)
	Reads transformation parameters from a file stream.

virtual Cofstream &	WriteDOFs (Cofstream &) const
	Writes transformation parameters to a file stream.

Protected Member Functions inherited from mirtk::Transformation
void	InitializeDOFs (int)
	Initialize transformation parameters.

void	InitializeDOFs (const Transformation &, int=-1)
	Copy transformation parameters (DoFs) and their status.

	Transformation (int=0)
	Default constructor.

	Transformation (const Transformation &)
	Copy constructor.

	Transformation (const Transformation &, int)
	Copy constructor.

Protected Member Functions inherited from mirtk::Observable
	Observable ()
	Default constructor.

	Observable (const Observable &)
	Copy constructor.

Observable &	operator= (const Observable &)
	Assignment operator.

Protected Member Functions inherited from mirtk::Object
template<typename... Args>
void	Throw (ErrorType err, const char *func, Args... args) const

Static Protected Member Functions inherited from mirtk::Object
template<typename... Args>
static void	ThrowStatic (ErrorType err, const char cls, const char func, Args... args)

Protected Attributes inherited from mirtk::MultiLevelTransformation
AffineTransformation	_GlobalTransformation
	Global transformation.

FreeFormTransformation *	_LocalTransformation [MAX_TRANS]
	Local transformations.

bool	_LocalTransformationOwner [MAX_TRANS]
	Whether this class is responsible for destructing the local transformation.

FFDStatus	_LocalTransformationStatus [MAX_TRANS]
	Status of local transformations.

int	_NumberOfLevels
	Number of local transformations.

Protected Attributes inherited from mirtk::Transformation
int	_NumberOfDOFs
	Number of transformation parameters.

DOFValue *	_Param
	Value of each transformation parameter.

DOFStatus *	_Status
	Status of each transformation parameter (Active or Passive)

Detailed Description

Class for multi-level FFD where global and local transformations are summed up.

T_mffd(x) = T_global(x) + sum_i T_local^i(x)

Definition at line 35 of file MultiLevelFreeFormTransformation.h.

Member Function Documentation

§ Approximate() [1/3]

virtual double mirtk::MultiLevelFreeFormTransformation::Approximate	(	const ImageAttributes &	,
		double *	,
		double *	,
		double *	,
		int	= `1`,
		double	= `.0`
	)

virtual

Approximate displacements: This function takes a set of points and a set of displacements and finds a transformation which approximates these displacements. After approximation, the displacements are replaced by the residual displacement errors at the points.

Note: This function does not change the global transformation and passive levels. Use ApproximateAsNew to also approximate a new global transformation.

Reimplemented from mirtk::MultiLevelTransformation.

§ Approximate() [2/3]

virtual double mirtk::MultiLevelFreeFormTransformation::Approximate	(	const double *	,
		const double *	,
		const double *	,
		double *	,
		double *	,
		double *	,
		int	,
		int	= `1`,
		double	= `.0`
	)

virtual

Approximate displacements: This function takes a set of points and a set of displacements and finds a transformation which approximates these displacements. After approximation, the displacements are replaced by the residual displacement errors at the points.

Note: This function does not change the global transformation and passive levels. Use ApproximateAsNew to also approximate a new global transformation.

Reimplemented from mirtk::MultiLevelTransformation.

§ Approximate() [3/3]

virtual double mirtk::MultiLevelFreeFormTransformation::Approximate	(	const double *	,
		const double *	,
		const double *	,
		const double *	,
		double *	,
		double *	,
		double *	,
		int	,
		int	= `1`,
		double	= `.0`
	)

virtual

Approximate displacements: This function takes a set of points and a set of displacements and finds a transformation which approximates these displacements. After approximation, the displacements are replaced by the residual displacement errors at the points.

Note: This function does not change the global transformation and passive levels. Use ApproximateAsNew to also approximate a new global transformation.

Reimplemented from mirtk::MultiLevelTransformation.

§ ApproximateAsNew() [1/3]

virtual double mirtk::MultiLevelFreeFormTransformation::ApproximateAsNew	(	const ImageAttributes &	,
		double *	,
		double *	,
		double *	,
		int	= `1`,
		double	= `.0`
	)

virtual

Approximate displacements: This function takes a set of points and a set of displacements and finds a !new! transformation which approximates these displacements. After approximation, the displacements are replaced by the residual displacement errors at the points.

Note: This function also modifies the global transformation. Use Reset and Approximate instead if this is not desired.

Reimplemented from mirtk::MultiLevelTransformation.

§ ApproximateAsNew() [2/3]

virtual double mirtk::MultiLevelFreeFormTransformation::ApproximateAsNew	(	const double *	,
		const double *	,
		const double *	,
		double *	,
		double *	,
		double *	,
		int	,
		int	= `1`,
		double	= `.0`
	)

virtual

Approximate displacements: This function takes a set of points and a set of displacements and finds a !new! transformation which approximates these displacements. After approximation, the displacements are replaced by the residual displacement errors at the points.

Note: This function also modifies the global transformation. Use Reset and Approximate instead if this is not desired.

Reimplemented from mirtk::MultiLevelTransformation.

§ ApproximateAsNew() [3/3]

virtual double mirtk::MultiLevelFreeFormTransformation::ApproximateAsNew	(	const double *	,
		const double *	,
		const double *	,
		const double *	,
		double *	,
		double *	,
		double *	,
		int	,
		int	= `1`,
		double	= `.0`
	)

virtual

Approximate displacements: This function takes a set of points and a set of displacements and finds a !new! transformation which approximates these displacements. After approximation, the displacements are replaced by the residual displacement errors at the points.

Note: This function also modifies the global transformation. Use Reset and Approximate instead if this is not desired.

Reimplemented from mirtk::MultiLevelTransformation.

§ ApproximateDOFs()

virtual void mirtk::MultiLevelFreeFormTransformation::ApproximateDOFs	(	const double *	,
		const double *	,
		const double *	,
		const double *	,
		const double *	,
		const double *	,
		const double *	,
		int
	)

virtual

Approximate displacements: This function takes a set of points and a set of displacements and finds !new! parameters such that the resulting transformation approximates the displacements as good as possible.

Reimplemented from mirtk::MultiLevelTransformation.

§ ApproximateDOFsGradient()

virtual void mirtk::MultiLevelFreeFormTransformation::ApproximateDOFsGradient	(	const double *	,
		const double *	,
		const double *	,
		const double *	,
		const double *	,
		const double *	,
		const double *	,
		int	,
		double *	,
		double	= `1.0`
	)		const

virtual

Finds gradient of approximation error: This function takes a set of points and a set of errors. It finds a gradient w.r.t. the transformation parameters which minimizes the L2 norm of the approximation error and adds it to the input gradient with the given weight.

Reimplemented from mirtk::MultiLevelTransformation.

§ CanModifyDisplacement()

virtual bool mirtk::MultiLevelFreeFormTransformation::CanModifyDisplacement ( int = -1 ) const

virtual

Whether this transformation implements a more efficient update of a given displacement field given the desired change of a transformation parameter

Reimplemented from mirtk::Transformation.

§ Displacement() [1/2]

virtual void mirtk::MultiLevelFreeFormTransformation::Displacement	(	int	,
		int	,
		GenericImage< double > &	,
		double	,
		double	= `NaN`,
		const WorldCoordsImage *	= `NULL`
	)		const

virtual

Calculates the displacement vectors for a whole image domain

Attention: The displacements are computed at the positions after applying the current displacements at each voxel. These displacements are then added to the current displacements. Therefore, set the input displacements to zero if only interested in the displacements of this transformation at the voxel positions.

Reimplemented from mirtk::MultiLevelTransformation.

§ Displacement() [2/2]

virtual void mirtk::MultiLevelFreeFormTransformation::Displacement	(	int	,
		int	,
		GenericImage< float > &	,
		double	,
		double	= `NaN`,
		const WorldCoordsImage *	= `NULL`
	)		const

virtual

Calculates the displacement vectors for a whole image domain

Attention: The displacements are computed at the positions after applying the current displacements at each voxel. These displacements are then added to the current displacements. Therefore, set the input displacements to zero if only interested in the displacements of this transformation at the voxel positions.

Reimplemented from mirtk::MultiLevelTransformation.

§ DisplacementAfterDOFChange()

virtual void mirtk::MultiLevelFreeFormTransformation::DisplacementAfterDOFChange	(	int	dof,
		double	dv,
		GenericImage< double > &	dx,
		double	t,
		double	t0 = `-1`,
		const WorldCoordsImage *	i2w = `NULL`
	)		const

virtual

Updates the displacement vectors for a whole image domain

Parameters

[in]	dof	Transformation parameter.
[in]	dv	Change of transformation parameter value.
[in,out]	dx	Displacement field to be updated.
[in]	t	Time point of start point.
[in]	t0	Time point of end point.
[in]	i2w	Pre-computed world coordinates.

Reimplemented from mirtk::Transformation.

§ DOFBoundingBox()

bool mirtk::MultiLevelFreeFormTransformation::DOFBoundingBox	(	const Image *	image,
		int	dof,
		int &	i1,
		int &	j1,
		int &	k1,
		int &	i2,
		int &	j2,
		int &	k2,
		double	fraction = `1`
	)		const

inlinevirtual

Gets the spatial bounding box for a transformation parameter in image coordinates. The last parameter specifies what fraction of the bounding box to return. The default is 1 which equals 100% of the bounding box.

Reimplemented from mirtk::Transformation.

Definition at line 302 of file MultiLevelFreeFormTransformation.h.

§ InverseDisplacement() [1/2]

virtual int mirtk::MultiLevelFreeFormTransformation::InverseDisplacement	(	int	,
		int	,
		GenericImage< double > &	,
		double	,
		double	= `NaN`,
		const WorldCoordsImage *	= `NULL`
	)		const

virtual

Calculates the inverse displacement vectors for a whole image domain

Attention: The displacements are computed at the positions after applying the current displacements at each voxel. These displacements are then added to the current displacements. Therefore, set the input displacements to zero if only interested in the displacements of this transformation at the voxel positions.

Returns: Number of points for which transformation is non-invertible.

Reimplemented from mirtk::MultiLevelTransformation.

§ InverseDisplacement() [2/2]

virtual int mirtk::MultiLevelFreeFormTransformation::InverseDisplacement	(	int	,
		int	,
		GenericImage< float > &	,
		double	,
		double	= `NaN`,
		const WorldCoordsImage *	= `NULL`
	)		const

virtual

Calculates the inverse displacement vectors for a whole image domain

Attention: The displacements are computed at the positions after applying the current displacements at each voxel. These displacements are then added to the current displacements. Therefore, set the input displacements to zero if only interested in the displacements of this transformation at the voxel positions.

Returns: Number of points for which transformation is non-invertible.

Reimplemented from mirtk::MultiLevelTransformation.

§ MergeGlobalIntoLocalDisplacement()

virtual void mirtk::MultiLevelFreeFormTransformation::MergeGlobalIntoLocalDisplacement ( )

virtual

Convert the global transformation from a matrix representation to a FFD and incorporate it with any existing local transformation

Reimplemented from mirtk::MultiLevelTransformation.

§ ParametricGradient() [1/2]

virtual void mirtk::MultiLevelFreeFormTransformation::ParametricGradient	(	const GenericImage< double > *	,
		double *	,
		const WorldCoordsImage *	= `NULL`,
		const WorldCoordsImage *	= `NULL`,
		double	= `NaN`,
		double	= `1`
	)		const

virtual

Applies the chain rule to convert spatial non-parametric gradient to a gradient w.r.t the parameters of this transformation.

If the transformation itself is non-parametric, the gradient will be passed through unchanged. The default implementation uses the full Jacobian matrix computed for each DoF separately (i.e., calls JacobianDOFs for each DoF).

For 4D transformations, the temporal coordinate t used for the computation of the Jacobian of the transformation w.r.t the transformation parameters for all spatial (x, y, z) voxel coordinates in world units, is assumed to correspond to the temporal origin of the given gradient image. For 4D transformations parameterized by velocities, a second time for the upper integration bound can be provided as last argument to this method. This last argument is ignored by transformations parameterized by displacements.

See also: ImageSimilarityMetric::EvaluateGradient

Reimplemented from mirtk::Transformation.

§ ParametricGradient() [2/2]

virtual void mirtk::MultiLevelFreeFormTransformation::ParametricGradient	(	const PointSet &	,
		const Vector3D< double > *	,
		double *	,
		double	= `0`,
		double	= `NaN`,
		double	= `1`
	)		const

virtual

Applies the chain rule to convert point-wise non-parametric gradient to a gradient w.r.t the parameters of this transformation.

Reimplemented from mirtk::Transformation.

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

MultiLevelFreeFormTransformation.h

Public Member Functions

Additional Inherited Members

Detailed Description

Member Function Documentation

§ Approximate() [1/3]

§ Approximate() [2/3]

§ Approximate() [3/3]

§ ApproximateAsNew() [1/3]

§ ApproximateAsNew() [2/3]

§ ApproximateAsNew() [3/3]

§ ApproximateDOFs()

§ ApproximateDOFsGradient()

§ CanModifyDisplacement()

§ Displacement() [1/2]

§ Displacement() [2/2]

§ DisplacementAfterDOFChange()

§ DOFBoundingBox()

§ InverseDisplacement() [1/2]

§ InverseDisplacement() [2/2]

§ MergeGlobalIntoLocalDisplacement()

§ ParametricGradient() [1/2]

§ ParametricGradient() [2/2]