#include <itkVolumeSplineKernelTransform.h>
Inheritance diagram for itk::VolumeSplineKernelTransform< TScalarType, NDimensions >:
Definition at line 34 of file itkVolumeSplineKernelTransform.h.
Public Types | |
| typedef vnl_matrix_fixed< TScalarType, NDimensions, NDimensions > | AMatrixType |
| typedef vnl_vector_fixed< TScalarType, NDimensions > | BMatrixType |
| typedef vnl_matrix_fixed< TScalarType, NDimensions, 1 > | ColumnMatrixType |
| typedef SmartPointer< const Self > | ConstPointer |
| typedef vnl_matrix< TScalarType > | DMatrixType |
| typedef vnl_matrix_fixed< TScalarType, NDimensions, NDimensions > | IMatrixType |
| typedef Superclass::InputCovariantVectorType | InputCovariantVectorType |
| typedef Superclass::InputPointType | InputPointType |
| typedef Superclass::InputVectorType | InputVectorType |
| typedef vnl_vector_fixed< TScalarType, NInputDimensions > | InputVnlVectorType |
| typedef Superclass::JacobianType | JacobianType |
| typedef vnl_matrix< TScalarType > | KMatrixType |
| typedef vnl_matrix< TScalarType > | LMatrixType |
| typedef Superclass::OutputCovariantVectorType | OutputCovariantVectorType |
| typedef Superclass::OutputPointType | OutputPointType |
| typedef Superclass::OutputVectorType | OutputVectorType |
| typedef vnl_vector_fixed< TScalarType, NOutputDimensions > | OutputVnlVectorType |
| typedef Superclass::ParametersType | ParametersType |
| typedef vnl_matrix< TScalarType > | PMatrixType |
| typedef SmartPointer< Self > | Pointer |
| typedef PointSetType::PointsContainerConstIterator | PointsConstIterator |
| typedef PointSetType::PointsContainer | PointsContainer |
| typedef PointSetType::Pointer | PointSetPointer |
| typedef DefaultStaticMeshTraits< TScalarType, NDimensions, NDimensions, TScalarType, TScalarType > | PointSetTraitsType |
| typedef PointSet< InputPointType, NDimensions, PointSetTraitsType > | PointSetType |
| typedef Superclass::PointsIterator | PointsIterator |
| typedef vnl_matrix_fixed< TScalarType, 1, NDimensions > | RowMatrixType |
| typedef Superclass::ScalarType | ScalarType |
| typedef VolumeSplineKernelTransform | Self |
| typedef KernelTransform< TScalarType, NDimensions > | Superclass |
| typedef VectorSetType::Pointer | VectorSetPointer |
| typedef itk::VectorContainer< unsigned long, InputVectorType > | VectorSetType |
| typedef vnl_matrix< TScalarType > | WMatrixType |
| typedef vnl_matrix< TScalarType > | YMatrixType |
Public Member Functions | |
| void | ComputeWMatrix (void) |
| virtual LightObject::Pointer | CreateAnother () const |
| virtual void | DebugOff () const |
| virtual void | DebugOn () const |
| virtual void | Delete () |
| Command * | GetCommand (unsigned long tag) |
| bool | GetDebug () const |
| virtual VectorSetType * | GetDisplacements () |
| virtual const ParametersType & | GetFixedParameters (void) const |
| unsigned int | GetInputSpaceDimension (void) const |
| bool | GetInverse (Self *inverseTransform) const |
| virtual const JacobianType & | GetJacobian (const InputPointType &) const |
| virtual const JacobianType & | GetJacobian (const InputPointType &point) const |
| const MetaDataDictionary & | GetMetaDataDictionary (void) const |
| MetaDataDictionary & | GetMetaDataDictionary (void) |
| virtual unsigned long | GetMTime () const |
| virtual const char * | GetNameOfClass () const |
| virtual unsigned int | GetNumberOfParameters (void) const |
| unsigned int | GetOutputSpaceDimension (void) const |
| virtual const ParametersType & | GetParameters (void) const |
| virtual int | GetReferenceCount () const |
| virtual PointSetType * | GetSourceLandmarks () |
| virtual PointSetType * | GetTargetLandmarks () |
| virtual std::string | GetTransformTypeAsString () const |
| bool | HasObserver (const EventObject &event) const |
| void | InvokeEvent (const EventObject &) const |
| void | InvokeEvent (const EventObject &) |
| virtual bool | IsLinear () const |
| itkStaticConstMacro (OutputSpaceDimension, unsigned int, NOutputDimensions) | |
| itkStaticConstMacro (InputSpaceDimension, unsigned int, NInputDimensions) | |
| itkStaticConstMacro (SpaceDimension, unsigned int, NDimensions) | |
| itkStaticConstMacro (SpaceDimension, unsigned int, Superclass::SpaceDimension) | |
| virtual void | Modified () const |
| void | Print (std::ostream &os, Indent indent=0) const |
| virtual void | Register () const |
| void | RemoveAllObservers () |
| void | RemoveObserver (unsigned long tag) |
| void | SetDebug (bool debugFlag) const |
| virtual void | SetFixedParameters (const ParametersType &) |
| virtual void | SetFixedParameters (const ParametersType &) |
| void | SetMetaDataDictionary (const MetaDataDictionary &rhs) |
| virtual void | SetParameters (const ParametersType &) |
| virtual void | SetParameters (const ParametersType &) |
| virtual void | SetParametersByValue (const ParametersType &p) |
| virtual void | SetReferenceCount (int) |
| virtual void | SetSourceLandmarks (PointSetType *) |
| virtual void | SetTargetLandmarks (PointSetType *) |
| virtual OutputCovariantVectorType | TransformCovariantVector (const InputCovariantVectorType &) const |
| virtual OutputPointType | TransformPoint (const InputPointType &) const |
| virtual OutputPointType | TransformPoint (const InputPointType &thisPoint) const |
| virtual OutputVnlVectorType | TransformVector (const InputVnlVectorType &) const |
| virtual OutputVectorType | TransformVector (const InputVectorType &) const |
| virtual void | UnRegister () const |
| virtual void | UpdateParameters (void) const |
| unsigned long | AddObserver (const EventObject &event, Command *) const |
| unsigned long | AddObserver (const EventObject &event, Command *) |
| virtual double | GetStiffness () |
| virtual void | SetStiffness (double _arg) |
Static Public Member Functions | |
| static void | BreakOnError () |
| static Pointer | New () |
| static bool | GetGlobalWarningDisplay () |
| static void | GlobalWarningDisplayOff () |
| static void | GlobalWarningDisplayOn () |
| static void | SetGlobalWarningDisplay (bool flag) |
Protected Types | |
| typedef Superclass::GMatrixType | GMatrixType |
| typedef int | InternalReferenceCountType |
Protected Member Functions | |
| void | ComputeD () |
| virtual void | ComputeDeformationContribution (const InputPointType &inputPoint, OutputPointType &result) const |
| virtual void | ComputeG (const InputVectorType &landmarkVector, GMatrixType &gmatrix) const |
| virtual void | ComputeG (const InputVectorType &landmarkVector, GMatrixType &gmatrix) const |
| void | ComputeK () |
| void | ComputeL () |
| void | ComputeP () |
| virtual const GMatrixType & | ComputeReflexiveG (PointsIterator) const |
| void | ComputeY () |
| itkLegacyMacro (virtual const GMatrixType &ComputeG(const InputVectorType &landmarkVector) const) | |
| bool | PrintObservers (std::ostream &os, Indent indent) const |
| void | PrintSelf (std::ostream &os, Indent indent) const |
| void | ReorganizeW (void) |
| VolumeSplineKernelTransform () | |
| virtual | ~VolumeSplineKernelTransform () |
| virtual void | PrintHeader (std::ostream &os, Indent indent) const |
| virtual void | PrintTrailer (std::ostream &os, Indent indent) const |
Protected Attributes | |
| AMatrixType | m_AMatrix |
| BMatrixType | m_BVector |
| VectorSetPointer | m_Displacements |
| DMatrixType | m_DMatrix |
| ParametersType | m_FixedParameters |
| GMatrixType | m_GMatrix |
| IMatrixType | m_I |
| JacobianType | m_Jacobian |
| KMatrixType | m_KMatrix |
| LMatrixType | m_LMatrix |
| ParametersType | m_Parameters |
| PMatrixType | m_PMatrix |
| InternalReferenceCountType | m_ReferenceCount |
| SimpleFastMutexLock | m_ReferenceCountLock |
| PointSetPointer | m_SourceLandmarks |
| double | m_Stiffness |
| PointSetPointer | m_TargetLandmarks |
| WMatrixType | m_WMatrix |
| bool | m_WMatrixComputed |
| YMatrixType | m_YMatrix |
typedef vnl_matrix_fixed<TScalarType,NDimensions,NDimensions> itk::KernelTransform< TScalarType, NDimensions >::AMatrixType [inherited] |
'A' matrix typedef. Rotational part of the Affine component
Definition at line 216 of file itkKernelTransform.h.
typedef vnl_vector_fixed<TScalarType,NDimensions> itk::KernelTransform< TScalarType, NDimensions >::BMatrixType [inherited] |
'B' matrix typedef. Translational part of the Affine component
Definition at line 219 of file itkKernelTransform.h.
typedef vnl_matrix_fixed<TScalarType, NDimensions, 1> itk::KernelTransform< TScalarType, NDimensions >::ColumnMatrixType [inherited] |
Column matrix typedef.
Definition at line 225 of file itkKernelTransform.h.
| typedef SmartPointer<const Self> itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::ConstPointer |
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 42 of file itkVolumeSplineKernelTransform.h.
typedef vnl_matrix<TScalarType> itk::KernelTransform< TScalarType, NDimensions >::DMatrixType [inherited] |
'D' matrix typedef. Deformation component
Definition at line 213 of file itkKernelTransform.h.
typedef Superclass::GMatrixType itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::GMatrixType [protected] |
These (rather redundant) typedefs are needed because on SGI, typedefs are not inherited.
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 81 of file itkVolumeSplineKernelTransform.h.
typedef vnl_matrix_fixed<TScalarType, NDimensions, NDimensions> itk::KernelTransform< TScalarType, NDimensions >::IMatrixType [inherited] |
'I' (identity) matrix typedef.
Definition at line 140 of file itkKernelTransform.h.
| typedef Superclass::InputCovariantVectorType itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::InputCovariantVectorType |
Standard covariant vector type for this class
Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.
Definition at line 69 of file itkVolumeSplineKernelTransform.h.
| typedef Superclass::InputPointType itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::InputPointType |
These (rather redundant) typedefs are needed because on SGI, typedefs are not inherited
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 64 of file itkVolumeSplineKernelTransform.h.
| typedef Superclass::InputVectorType itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::InputVectorType |
Standard vector type for this class.
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 66 of file itkVolumeSplineKernelTransform.h.
typedef vnl_vector_fixed<TScalarType , NInputDimensions> itk::Transform< TScalarType , NInputDimensions, NOutputDimensions >::InputVnlVectorType [inherited] |
Standard vnl_vector type for this class.
Reimplemented in itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::IdentityTransform< TScalarType, NDimensions >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::ScaleTransform< TScalarType, NDimensions >, and itk::TranslationTransform< TScalarType, NDimensions >.
Definition at line 110 of file itkTransform.h.
typedef int itk::LightObject::InternalReferenceCountType [protected, inherited] |
Define the type of the reference count according to the target. This allows the use of atomic operations
Definition at line 139 of file itkLightObject.h.
| typedef Superclass::JacobianType itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::JacobianType |
Jacobian Type
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 57 of file itkVolumeSplineKernelTransform.h.
typedef vnl_matrix<TScalarType> itk::KernelTransform< TScalarType, NDimensions >::KMatrixType [inherited] |
'K' matrix typedef.
Definition at line 201 of file itkKernelTransform.h.
typedef vnl_matrix<TScalarType> itk::KernelTransform< TScalarType, NDimensions >::LMatrixType [inherited] |
'L' matrix typedef.
Definition at line 198 of file itkKernelTransform.h.
| typedef Superclass::OutputCovariantVectorType itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::OutputCovariantVectorType |
Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.
Definition at line 71 of file itkVolumeSplineKernelTransform.h.
| typedef Superclass::OutputPointType itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::OutputPointType |
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 65 of file itkVolumeSplineKernelTransform.h.
| typedef Superclass::OutputVectorType itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::OutputVectorType |
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 67 of file itkVolumeSplineKernelTransform.h.
typedef vnl_vector_fixed<TScalarType , NOutputDimensions> itk::Transform< TScalarType , NInputDimensions, NOutputDimensions >::OutputVnlVectorType [inherited] |
Reimplemented in itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >, itk::IdentityTransform< TScalarType, NDimensions >, itk::ScaleLogarithmicTransform< TScalarType, NDimensions >, itk::ScaleTransform< TScalarType, NDimensions >, and itk::TranslationTransform< TScalarType, NDimensions >.
Definition at line 111 of file itkTransform.h.
| typedef Superclass::ParametersType itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::ParametersType |
Parameters type.
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 54 of file itkVolumeSplineKernelTransform.h.
typedef vnl_matrix<TScalarType> itk::KernelTransform< TScalarType, NDimensions >::PMatrixType [inherited] |
'P' matrix typedef.
Definition at line 204 of file itkKernelTransform.h.
| typedef SmartPointer<Self> itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::Pointer |
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 41 of file itkVolumeSplineKernelTransform.h.
typedef PointSetType::PointsContainerConstIterator itk::KernelTransform< TScalarType, NDimensions >::PointsConstIterator [inherited] |
Definition at line 111 of file itkKernelTransform.h.
typedef PointSetType::PointsContainer itk::KernelTransform< TScalarType, NDimensions >::PointsContainer [inherited] |
Definition at line 109 of file itkKernelTransform.h.
typedef PointSetType::Pointer itk::KernelTransform< TScalarType, NDimensions >::PointSetPointer [inherited] |
Definition at line 108 of file itkKernelTransform.h.
typedef DefaultStaticMeshTraits<TScalarType, NDimensions, NDimensions, TScalarType, TScalarType> itk::KernelTransform< TScalarType, NDimensions >::PointSetTraitsType [inherited] |
PointList typedef. This type is used for maintaining lists of points, specifically, the source and target landmark lists.
Definition at line 106 of file itkKernelTransform.h.
typedef PointSet<InputPointType, NDimensions, PointSetTraitsType> itk::KernelTransform< TScalarType, NDimensions >::PointSetType [inherited] |
Definition at line 107 of file itkKernelTransform.h.
| typedef Superclass::PointsIterator itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::PointsIterator |
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 72 of file itkVolumeSplineKernelTransform.h.
typedef vnl_matrix_fixed<TScalarType, 1, NDimensions> itk::KernelTransform< TScalarType, NDimensions >::RowMatrixType [inherited] |
Row matrix typedef.
Definition at line 222 of file itkKernelTransform.h.
| typedef Superclass::ScalarType itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::ScalarType |
Scalar type.
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 48 of file itkVolumeSplineKernelTransform.h.
| typedef VolumeSplineKernelTransform itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::Self |
Standard class typedefs.
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 39 of file itkVolumeSplineKernelTransform.h.
| typedef KernelTransform<TScalarType, NDimensions> itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::Superclass |
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 40 of file itkVolumeSplineKernelTransform.h.
typedef VectorSetType::Pointer itk::KernelTransform< TScalarType, NDimensions >::VectorSetPointer [inherited] |
Definition at line 115 of file itkKernelTransform.h.
typedef itk::VectorContainer<unsigned long,InputVectorType> itk::KernelTransform< TScalarType, NDimensions >::VectorSetType [inherited] |
VectorSet typedef.
Definition at line 114 of file itkKernelTransform.h.
typedef vnl_matrix<TScalarType> itk::KernelTransform< TScalarType, NDimensions >::WMatrixType [inherited] |
'W' matrix typedef.
Definition at line 210 of file itkKernelTransform.h.
typedef vnl_matrix<TScalarType> itk::KernelTransform< TScalarType, NDimensions >::YMatrixType [inherited] |
'Y' matrix typedef.
Definition at line 207 of file itkKernelTransform.h.
| itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::VolumeSplineKernelTransform | ( | ) | [inline, protected] |
Definition at line 76 of file itkVolumeSplineKernelTransform.h.
| virtual itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::~VolumeSplineKernelTransform | ( | ) | [inline, protected, virtual] |
Definition at line 77 of file itkVolumeSplineKernelTransform.h.
| unsigned long itk::Object::AddObserver | ( | const EventObject & | event, | |
| Command * | ||||
| ) | const [inherited] |
| unsigned long itk::Object::AddObserver | ( | const EventObject & | event, | |
| Command * | ||||
| ) | [inherited] |
Allow people to add/remove/invoke observers (callbacks) to any ITK object. This is an implementation of the subject/observer design pattern. An observer is added by specifying an event to respond to and an itk::Command to execute. It returns an unsigned long tag which can be used later to remove the event or retrieve the command. The memory for the Command becomes the responsibility of this object, so don't pass the same instance of a command to two different objects
| static void itk::LightObject::BreakOnError | ( | ) | [static, inherited] |
This method is called when itkExceptionMacro executes. It allows the debugger to break on error.
| void itk::KernelTransform< TScalarType, NDimensions >::ComputeD | ( | ) | [protected, inherited] |
Compute displacements 
.
| virtual void itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::ComputeDeformationContribution | ( | const InputPointType & | inputPoint, | |
| OutputPointType & | result | |||
| ) | const [protected, virtual] |
Compute the contribution of the landmarks weighted by the kernel funcion to the global deformation of the space
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
| virtual void itk::KernelTransform< TScalarType, NDimensions >::ComputeG | ( | const InputVectorType & | landmarkVector, | |
| GMatrixType & | gmatrix | |||
| ) | const [protected, virtual, inherited] |
Compute G(x) This is essentially the kernel of the transform. By overriding this method, we can obtain (among others): Elastic body spline Thin plate spline Volume spline
| virtual void itk::VolumeSplineKernelTransform< TScalarType, NDimensions >::ComputeG | ( | const InputVectorType & | landmarkVector, | |
| GMatrixType & | gmatrix | |||
| ) | const [protected, virtual] |
Compute G(x) For the volume plate spline, this is: G(x) = r(x)^3*I 
where r(x) = Euclidean norm = sqrt[x1^2 + x2^2 + x3^2]
![\[ r(x) = \sqrt{ x_1^2 + x_2^2 + x_3^2 } \]](form_133.png)
I = identity matrix.
| void itk::KernelTransform< TScalarType, NDimensions >::ComputeK | ( | ) | [protected, inherited] |
Compute K matrix.
| void itk::KernelTransform< TScalarType, NDimensions >::ComputeL | ( | ) | [protected, inherited] |
Compute L matrix.
| void itk::KernelTransform< TScalarType, NDimensions >::ComputeP | ( | ) | [protected, inherited] |
Compute P matrix.
| virtual const GMatrixType& itk::KernelTransform< TScalarType, NDimensions >::ComputeReflexiveG | ( | PointsIterator | ) | const [protected, virtual, inherited] |
Compute a G(x) for a point to itself (i.e. for the block diagonal elements of the matrix K. Parameter indicates for which landmark the reflexive G is to be computed. The default implementation for the reflexive contribution is a diagonal matrix where the diagonal elements are the stiffness of the spline.
| void itk::KernelTransform< TScalarType, NDimensions >::ComputeWMatrix | ( | void | ) | [inherited] |
Compute W matrix.
| void itk::KernelTransform< TScalarType, NDimensions >::ComputeY | ( | ) | [protected, inherited] |
Compute Y matrix.
| virtual LightObject::Pointer itk::Object::CreateAnother | ( | ) | const [virtual, inherited] |
Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class.
Reimplemented from itk::LightObject.
| virtual void itk::Object::DebugOff | ( | ) | const [virtual, inherited] |
Turn debugging output off.
| virtual void itk::Object::DebugOn | ( | ) | const [virtual, inherited] |
Turn debugging output on.
| virtual void itk::LightObject::Delete | ( | ) | [virtual, inherited] |
Delete an itk object. This method should always be used to delete an object when the new operator was used to create it. Using the C delete method will not work with reference counting.
| Command* itk::Object::GetCommand | ( | unsigned long | tag | ) | [inherited] |
Get the command associated with the given tag. NOTE: This returns a pointer to a Command, but it is safe to asign this to a Command::Pointer. Since Command inherits from LightObject, at this point in the code, only a pointer or a reference to the Command can be used.
| bool itk::Object::GetDebug | ( | ) | const [inherited] |
Get the value of the debug flag.
| virtual VectorSetType* itk::KernelTransform< TScalarType, NDimensions >::GetDisplacements | ( | ) | [virtual, inherited] |
Get the displacements list, which we will denote 
, where 
.
| virtual const ParametersType& itk::KernelTransform< TScalarType, NDimensions >::GetFixedParameters | ( | void | ) | const [virtual, inherited] |
Get Transform Fixed Parameters - Gets the Target Landmarks
Reimplemented from itk::Transform< TScalarType, NDimensions, NDimensions >.
| static bool itk::Object::GetGlobalWarningDisplay | ( | ) | [static, inherited] |
| unsigned int itk::Transform< TScalarType , NInputDimensions, NOutputDimensions >::GetInputSpaceDimension | ( | void | ) | const [inline, virtual, inherited] |
Get the size of the input space
Implements itk::TransformBase.
Definition at line 87 of file itkTransform.h.
| bool itk::Transform< TScalarType , NInputDimensions, NOutputDimensions >::GetInverse | ( | Self * | inverseTransform | ) | const [inline, inherited] |
Returns a boolean indicating whether it is possible or not to compute the inverse of this current Transform. If it is possible, then the inverse of the transform is returned in the inverseTransform variable passed by the user. The inverse is recomputed if this current transform has been modified. This method is intended to be overriden by derived classes.
Reimplemented in itk::ScaleTransform< TScalarType, NDimensions >, and itk::TranslationTransform< TScalarType, NDimensions >.
Definition at line 226 of file itkTransform.h.
| virtual const JacobianType& itk::Transform< TScalarType , NInputDimensions, NOutputDimensions >::GetJacobian | ( | const InputPointType & | ) | const [inline, virtual, inherited] |
Compute the Jacobian of the transformation
This method computes the Jacobian matrix of the transformation at a given input point. The rank of the Jacobian will also indicate if the transform is invertible at this point.
The Jacobian is be expressed as a matrix of partial derivatives of the output point components with respect to the parameters that defined the transform:
![\[ J=\left[ \begin{array}{cccc} \frac{\partial x_{1}}{\partial p_{1}} & \frac{\partial x_{1}}{\partial p_{2}} & \cdots & \frac{\partial x_{1}}{\partial p_{m}}\\ \frac{\partial x_{2}}{\partial p_{1}} & \frac{\partial x_{2}}{\partial p_{2}} & \cdots & \frac{\partial x_{2}}{\partial p_{m}}\\ \vdots & \vdots & \ddots & \vdots \\ \frac{\partial x_{n}}{\partial p_{1}} & \frac{\partial x_{n}}{\partial p_{2}} & \cdots & \frac{\partial x_{n}}{\partial p_{m}} \end{array}\right] \]](form_180.png)
Definition at line 205 of file itkTransform.h.
| virtual const JacobianType& itk::KernelTransform< TScalarType, NDimensions >::GetJacobian | ( | const InputPointType & | point | ) | const [virtual, inherited] |
Compute the Jacobian Matrix of the transformation at one point
| const MetaDataDictionary& itk::Object::GetMetaDataDictionary | ( | void | ) | const [inherited] |
| MetaDataDictionary& itk::Object::GetMetaDataDictionary | ( | void | ) | [inherited] |
| virtual unsigned long itk::Object::GetMTime | ( | ) | const [virtual, inherited] |
Return this objects modified time.
Reimplemented in itk::ImageRegistrationMethod< TFixedImage, TMovingImage >, itk::ImageToSpatialObjectRegistrationMethod< TFixedImage, TMovingSpatialObject >, itk::MultiResolutionImageRegistrationMethod< TFixedImage, TMovingImage >, itk::PointSetToImageRegistrationMethod< TFixedPointSet, TMovingImage >, itk::PointSetToPointSetRegistrationMethod< TFixedPointSet, TMovingPointSet >, itk::DeformationFieldSource< TOutputImage >, itk::InverseDeformationFieldImageFilter< TInputImage, TOutputImage >, itk::ResampleImageFilter< TInputImage, TOutputImage, TInterpolatorPrecisionType >, itk::VectorResampleImageFilter< TInputImage, TOutputImage, TInterpolatorPrecisionType >, itk::BoundingBox< TPointIdentifier, VPointDimension, TCoordRep, TPointsContainer >, itk::ImageAdaptor< TImage, TAccessor >, itk::ResampleImageFilter< TInputImage, TOutputImage, TInterpolatorPrecisionType >, itk::TransformToDeformationFieldSource< TOutputImage, TTransformPrecisionType >, itk::ImageSpatialObject< TDimension, TPixelType >, itk::MeshSpatialObject< TMesh >, itk::SceneSpatialObject< TSpaceDimension >, itk::SpatialObject< TDimension >, itk::ImageAdaptor< TImage, itk::Accessor::AsinPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::AbsPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::LogPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::ComplexToPhasePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::Log10PixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::ExpPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::AddPixelAccessor< TImage::PixelType > >, itk::ImageAdaptor< itk::VectorImage< TPixelType, Dimension >, itk::Accessor::VectorImageToImagePixelAccessor< TPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::RGBToVectorPixelAccessor< TImage::PixelType::ComponentType > >, itk::ImageAdaptor< TImage, itk::PixelAccessor< TInternalType, TExternalType > >, itk::ImageAdaptor< TImage, itk::Accessor::SqrtPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::AcosPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::ComplexToModulusPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::ExpNegativePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::VectorToRGBPixelAccessor< TImage::PixelType::ValueType > >, itk::ImageAdaptor< TImage, itk::Accessor::TanPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::ComplexToRealPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::RGBToLuminancePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::AtanPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::SinPixelAccessor< TImage::PixelType, TOutputPixelType > >,