template<class TFixedImage, class TMovingImage, class TDisplacementField>
class itk::VariationalSymmetricDiffeomorphicRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField >
Symmetric diffeomorphic deformable registration of two images using static velocity fields.
VariationalSymmetricDiffeomorphicRegistrationFilter is derived from VariationalRegistrationFilter and aims to minimize the functional
with and is a static velocity field. Let denote the force term corresponding to the similarity measure and denote the linear differential operator associated with the regularization term , VariationalSymmetricDiffeomorphicRegistrationFilter implements the following iterative scheme to compute (and ):
- initialize (default ), and
- do
- compute the forward update field using and the warped image
- compute the backward update field using the warped image and
- compute the next velocity field by
- compute the next transformation and the inverse
- until is fulfilled or
The force term is implemented in a subclass of VariationalRegistrationFunction. The computation of the regularization with is implemented in a subclass of VariationalRegistrationRegularizer. The exponentiation of the velocity field is done using the ExponentialDisplacementFieldImageFilter.
You can set SmoothUpdateFieldOn() to smooth the velocity field before exponentiation.
- See also
- VariationalRegistrationFilter
-
VariationalDiffeomorphicRegistrationFilter
-
VariationalRegistrationFunction
-
VariationalRegistrationRegularizer
-
ExponentialDisplacementFieldImageFilter
-
DenseFiniteDifferenceImageFilter
- Note
- This class was developed with funding from the German Research Foundation (DFG: EH 224/3-1 and HA 235/9-1).
- Author
- Alexander Schmidt-Richberg
-
Rene Werner
-
Jan Ehrhardt
For details see:
- Alexander Schmidt-Richberg, Rene Werner, Heinz Handels and Jan Ehrhardt: A Flexible Variational Registration Framework, Insight Journal, 2014 http://hdl.handle.net/10380/3460
- Rene Werner, Alexander Schmidt-Richberg, Heinz Handels and Jan Ehrhardt: Estimation of lung motion fields in 4D CT data by variational non-linear intensity-based registration: A comparison and evaluation study, Phys. Med. Biol., 2014
- Jan Ehrhardt, Rene Werner, Alexander Schmidt-Richberg and Heinz Handels: Statistical modeling of 4D respiratory lung motion using diffeomorphic image registration. IEEE Trans. Med. Imaging, 30(2), 2011
Definition at line 90 of file itkVariationalSymmetricDiffeomorphicRegistrationFilter.h.
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typedef SmartPointer< const Self > | ConstPointer |
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typedef DisplacementFieldType::Pointer | DisplacementFieldPointer |
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typedef TDisplacementField | DisplacementFieldType |
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typedef FixedImageType::ConstPointer | FixedImageConstPointer |
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typedef FixedImageType::Pointer | FixedImagePointer |
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typedef TFixedImage | FixedImageType |
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typedef MovingImageType::ConstPointer | MovingImageConstPointer |
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typedef MovingImageType::Pointer | MovingImagePointer |
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typedef TMovingImage | MovingImageType |
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typedef Superclass::OutputImageType | OutputImageType |
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typedef SmartPointer< Self > | Pointer |
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typedef Superclass::RegistrationFunctionType | RegistrationFunctionType |
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typedef Superclass::RegularizerType | RegularizerType |
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typedef VariationalSymmetricDiffeomorphicRegistrationFilter | Self |
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typedef VariationalDiffeomorphicRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField > | Superclass |
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typedef Superclass::TimeStepType | TimeStepType |
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typedef OutputImageType | UpdateBufferType |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef DisplacementFieldType::Pointer | DisplacementFieldPointer |
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typedef TDisplacementField | DisplacementFieldType |
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typedef FixedImageType::ConstPointer | FixedImageConstPointer |
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typedef FixedImageType::Pointer | FixedImagePointer |
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typedef TFixedImage | FixedImageType |
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typedef MovingImageType::ConstPointer | MovingImageConstPointer |
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typedef MovingImageType::Pointer | MovingImagePointer |
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typedef TMovingImage | MovingImageType |
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typedef Superclass::OutputImageType | OutputImageType |
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typedef SmartPointer< Self > | Pointer |
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typedef Superclass::RegistrationFunctionType | RegistrationFunctionType |
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typedef Superclass::RegularizerType | RegularizerType |
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typedef VariationalDiffeomorphicRegistrationFilter | Self |
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typedef VariationalRegistrationFilter< TFixedImage, TMovingImage, TDisplacementField > | Superclass |
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typedef Superclass::TimeStepType | TimeStepType |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef VariationalRegistrationDemonsFunction< FixedImageType, MovingImageType, DisplacementFieldType > | DefaultRegistrationFunctionType |
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typedef VariationalRegistrationDiffusionRegularizer< DisplacementFieldType > | DefaultRegularizerType |
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typedef DisplacementFieldType::Pointer | DisplacementFieldPointer |
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typedef TDisplacementField | DisplacementFieldType |
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typedef FixedImageType::ConstPointer | FixedImageConstPointer |
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typedef FixedImageType::Pointer | FixedImagePointer |
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typedef TFixedImage | FixedImageType |
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typedef MaskImageType::ConstPointer | MaskImageConstPointer |
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typedef unsigned char | MaskImagePixelType |
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typedef MaskImageType::Pointer | MaskImagePointer |
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typedef Image< MaskImagePixelType, ImageDimension > | MaskImageType |
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typedef MovingImageType::ConstPointer | MovingImageConstPointer |
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typedef MovingImageType::Pointer | MovingImagePointer |
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typedef TMovingImage | MovingImageType |
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typedef Superclass::OutputImageType | OutputImageType |
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typedef SmartPointer< Self > | Pointer |
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typedef VariationalRegistrationFunction< FixedImageType, MovingImageType, DisplacementFieldType > | RegistrationFunctionType |
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typedef RegularizerType::Pointer | RegularizerPointer |
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typedef VariationalRegistrationRegularizer< DisplacementFieldType > | RegularizerType |
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typedef VariationalRegistrationFilter | Self |
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typedef DenseFiniteDifferenceImageFilter< TDisplacementField, TDisplacementField > | Superclass |
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typedef Superclass::TimeStepType | TimeStepType |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef Superclass::FiniteDifferenceFunctionType | FiniteDifferenceFunctionType |
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typedef Superclass::InputImageType | InputImageType |
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typedef Superclass::OutputImageType | OutputImageType |
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typedef Superclass::PixelType | PixelType |
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typedef SmartPointer< Self > | Pointer |
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typedef DenseFiniteDifferenceImageFilter | Self |
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typedef FiniteDifferenceImageFilter< TDisplacementField, TDisplacementField > | Superclass |
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typedef Superclass::TimeStepType | TimeStepType |
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typedef OutputImageType | UpdateBufferType |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef FiniteDifferenceFunction< TDisplacementField > | FiniteDifferenceFunctionType |
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typedef TDisplacementField | InputImageType |
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typedef TDisplacementField::PixelType | InputPixelType |
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typedef NumericTraits< InputPixelType >::ValueType | InputPixelValueType |
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typedef FiniteDifferenceFunctionType::NeighborhoodScalesType | NeighborhoodScalesType |
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typedef TDisplacementField | OutputImageType |
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typedef TDisplacementField::PixelType | OutputPixelType |
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typedef NumericTraits< OutputPixelType >::ValueType | OutputPixelValueType |
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typedef OutputPixelType | PixelType |
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typedef SmartPointer< Self > | Pointer |
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typedef FiniteDifferenceFunctionType::RadiusType | RadiusType |
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typedef FiniteDifferenceImageFilter | Self |
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typedef InPlaceImageFilter< TDisplacementField, TDisplacementField > | Superclass |
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typedef FiniteDifferenceFunctionType::TimeStepType | TimeStepType |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef InputImageType::ConstPointer | InputImageConstPointer |
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typedef InputImageType::PixelType | InputImagePixelType |
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typedef InputImageType::Pointer | InputImagePointer |
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typedef InputImageType::RegionType | InputImageRegionType |
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typedef TDisplacementField | InputImageType |
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typedef Superclass::OutputImagePixelType | OutputImagePixelType |
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typedef Superclass::OutputImagePointer | OutputImagePointer |
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typedef Superclass::OutputImageRegionType | OutputImageRegionType |
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typedef Superclass::OutputImageType | OutputImageType |
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typedef SmartPointer< Self > | Pointer |
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typedef InPlaceImageFilter | Self |
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typedef ImageToImageFilter< TDisplacementField, TDisplacementField > | Superclass |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef InputImageType::ConstPointer | InputImageConstPointer |
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typedef InputImageType::PixelType | InputImagePixelType |
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typedef InputImageType::Pointer | InputImagePointer |
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typedef InputImageType::RegionType | InputImageRegionType |
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typedef TDisplacementField | InputImageType |
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typedef Superclass::OutputImagePixelType | OutputImagePixelType |
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typedef Superclass::OutputImageRegionType | OutputImageRegionType |
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typedef SmartPointer< Self > | Pointer |
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typedef ImageToImageFilter | Self |
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typedef ImageSource< TDisplacementField > | Superclass |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef Superclass::DataObjectIdentifierType | DataObjectIdentifierType |
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typedef DataObject::Pointer | DataObjectPointer |
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typedef Superclass::DataObjectPointerArraySizeType | DataObjectPointerArraySizeType |
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typedef OutputImageType::PixelType | OutputImagePixelType |
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typedef OutputImageType::Pointer | OutputImagePointer |
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typedef OutputImageType::RegionType | OutputImageRegionType |
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typedef TDisplacementField | OutputImageType |
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typedef SmartPointer< Self > | Pointer |
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typedef ImageSource | Self |
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typedef ProcessObject | Superclass |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef DataObject::DataObjectIdentifierType | DataObjectIdentifierType |
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typedef DataObject::Pointer | DataObjectPointer |
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typedef std::vector< DataObjectPointer > | DataObjectPointerArray |
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typedef DataObjectPointerArray::size_type | DataObjectPointerArraySizeType |
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typedef std::vector< DataObjectIdentifierType > | NameArray |
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typedef SmartPointer< Self > | Pointer |
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typedef ProcessObject | Self |
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typedef Object | Superclass |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef SmartPointer< Self > | Pointer |
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typedef Object | Self |
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typedef LightObject | Superclass |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef SmartPointer< Self > | Pointer |
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typedef LightObject | Self |
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virtual void | ApplyUpdate (const TimeStepType &dt) |
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virtual void | CalcInverseDeformationFromVelocityField (const DisplacementFieldType *velocityField) |
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virtual TimeStepType | CalculateChange () |
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virtual void | Initialize () |
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virtual void | InitializeBackwardIteration () |
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| itkGetObjectMacro (BackwardUpdateBuffer, UpdateBufferType) |
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virtual void | PrintSelf (std::ostream &os, Indent indent) const |
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virtual void | ThreadedApplyUpdate (const TimeStepType &dt, const ThreadRegionType ®ionToProcess, unsigned int threadId) |
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| VariationalSymmetricDiffeomorphicRegistrationFilter () |
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| ~VariationalSymmetricDiffeomorphicRegistrationFilter () |
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virtual void | CalcDeformationFromVelocityField (const DisplacementFieldType *velocityField) |
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virtual FieldExponentiatorPointer | GetExponentiator () |
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| VariationalDiffeomorphicRegistrationFilter () |
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| ~VariationalDiffeomorphicRegistrationFilter () |
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virtual void | CopyInputToOutput () |
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virtual void | GenerateInputRequestedRegion () |
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virtual void | GenerateOutputInformation () |
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virtual bool | Halt () |
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virtual void | InitializeIteration () |
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| VariationalRegistrationFilter () |
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virtual void | VerifyInputInformation () |
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| ~VariationalRegistrationFilter () |
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RegistrationFunctionType * | DownCastDifferenceFunctionType () |
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const RegistrationFunctionType * | DownCastDifferenceFunctionType () const |
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virtual void | AllocateUpdateBuffer () override |
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| DenseFiniteDifferenceImageFilter () |
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virtual UpdateBufferType * | GetUpdateBuffer () |
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void | PrintSelf (std::ostream &os, Indent indent) const override |
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virtual TimeStepType | ThreadedCalculateChange (const ThreadRegionType ®ionToProcess, ThreadIdType threadId) |
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| ~DenseFiniteDifferenceImageFilter () |
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virtual void | ApplyUpdate (const TimeStepType &dt)=0 |
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| FiniteDifferenceImageFilter () |
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virtual void | GenerateData () override |
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virtual void | PostProcessOutput () |
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void | PrintSelf (std::ostream &os, Indent indent) const override |
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virtual TimeStepType | ResolveTimeStep (const std::vector< TimeStepType > &timeStepList, const std::vector< bool > &valid) const |
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virtual void | SetElapsedIterations (IdentifierType _arg) |
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virtual bool | ThreadedHalt (void *) |
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virtual | ~FiniteDifferenceImageFilter () |
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virtual void | AllocateOutputs () override |
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virtual bool | GetRunningInPlace () const |
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| InPlaceImageFilter () |
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virtual void | ReleaseInputs () override |
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| ~InPlaceImageFilter () |
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virtual void | CallCopyInputRegionToOutputRegion (OutputImageRegionType &destRegion, const InputImageRegionType &srcRegion) |
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virtual void | CallCopyOutputRegionToInputRegion (InputImageRegionType &destRegion, const OutputImageRegionType &srcRegion) |
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| ImageToImageFilter () |
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| ~ImageToImageFilter () |
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void | PushBackInput (const DataObject *input) override |
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void | PushFrontInput (const DataObject *input) override |
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virtual void | AfterThreadedGenerateData () |
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virtual void | BeforeThreadedGenerateData () |
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virtual const ImageRegionSplitterBase * | GetImageRegionSplitter () const |
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| ImageSource () |
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virtual unsigned int | SplitRequestedRegion (unsigned int i, unsigned int pieces, OutputImageRegionType &splitRegion) |
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virtual void | ThreadedGenerateData (const OutputImageRegionType &outputRegionForThread, ThreadIdType threadId) |
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virtual | ~ImageSource () |
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virtual void | AddInput (DataObject *input) |
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virtual void | AddOutput (DataObject *output) |
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bool | AddRequiredInputName (const DataObjectIdentifierType &) |
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bool | AddRequiredInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx) |
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virtual void | CacheInputReleaseDataFlags () |
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virtual void | GenerateOutputRequestedRegion (DataObject *output) |
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DataObject * | GetInput (const DataObjectIdentifierType &key) |
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const DataObject * | GetInput (const DataObjectIdentifierType &key) const |
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virtual const DataObjectPointerArraySizeType & | GetNumberOfRequiredInputs () const |
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virtual const DataObjectPointerArraySizeType & | GetNumberOfRequiredOutputs () const |
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bool | IsIndexedInputName (const DataObjectIdentifierType &) const |
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bool | IsIndexedOutputName (const DataObjectIdentifierType &) const |
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bool | IsRequiredInputName (const DataObjectIdentifierType &) const |
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| itkLegacyMacro (virtual void RemoveOutput(DataObject *output)) |
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| itkLegacyMacro (void SetNumberOfOutputs(DataObjectPointerArraySizeType num)) |
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| itkLegacyMacro (virtual void RemoveInput(DataObject *input)) |
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| itkLegacyMacro (void SetNumberOfInputs(DataObjectPointerArraySizeType num)) |
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DataObjectPointerArraySizeType | MakeIndexFromInputName (const DataObjectIdentifierType &name) const |
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DataObjectPointerArraySizeType | MakeIndexFromOutputName (const DataObjectIdentifierType &name) const |
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DataObjectIdentifierType | MakeNameFromInputIndex (DataObjectPointerArraySizeType idx) const |
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DataObjectIdentifierType | MakeNameFromOutputIndex (DataObjectPointerArraySizeType idx) const |
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| ProcessObject () |
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virtual void | PropagateResetPipeline () |
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virtual void | RemoveInput (const DataObjectIdentifierType &key) |
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virtual void | RemoveInput (DataObjectPointerArraySizeType) |
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virtual void | RemoveOutput (const DataObjectIdentifierType &key) |
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virtual void | RemoveOutput (DataObjectPointerArraySizeType idx) |
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bool | RemoveRequiredInputName (const DataObjectIdentifierType &) |
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virtual void | RestoreInputReleaseDataFlags () |
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virtual void | SetInput (const DataObjectIdentifierType &key, DataObject *input) |
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virtual void | SetNthInput (DataObjectPointerArraySizeType num, DataObject *input) |
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virtual void | SetNthOutput (DataObjectPointerArraySizeType num, DataObject *output) |
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void | SetNumberOfIndexedInputs (DataObjectPointerArraySizeType num) |
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void | SetNumberOfIndexedOutputs (DataObjectPointerArraySizeType num) |
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virtual void | SetNumberOfRequiredInputs (DataObjectPointerArraySizeType) |
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virtual void | SetNumberOfRequiredOutputs (DataObjectPointerArraySizeType _arg) |
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virtual void | SetOutput (const DataObjectIdentifierType &key, DataObject *output) |
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virtual void | SetPrimaryInput (DataObject *input) |
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virtual void | SetPrimaryOutput (DataObject *output) |
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void | SetRequiredInputNames (const NameArray &) |
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virtual void | VerifyPreconditions () |
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| ~ProcessObject () |
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DataObject * | GetInput (DataObjectPointerArraySizeType idx) |
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const DataObject * | GetInput (DataObjectPointerArraySizeType idx) const |
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DataObject * | GetPrimaryInput () |
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const DataObject * | GetPrimaryInput () const |
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virtual void | SetPrimaryInputName (const DataObjectIdentifierType &key) |
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virtual const char * | GetPrimaryInputName (void) const |
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DataObject * | GetOutput (const DataObjectIdentifierType &key) |
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const DataObject * | GetOutput (const DataObjectIdentifierType &key) const |
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virtual void | SetPrimaryOutputName (const DataObjectIdentifierType &key) |
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virtual const char * | GetPrimaryOutputName (void) const |
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DataObject * | GetOutput (DataObjectPointerArraySizeType idx) |
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const DataObject * | GetOutput (DataObjectPointerArraySizeType idx) const |
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DataObject * | GetPrimaryOutput () |
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const DataObject * | GetPrimaryOutput () const |
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| Object () |
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bool | PrintObservers (std::ostream &os, Indent indent) const |
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virtual void | SetTimeStamp (const TimeStamp &time) |
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virtual | ~Object () |
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virtual LightObject::Pointer | InternalClone () const |
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| LightObject () |
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virtual void | PrintHeader (std::ostream &os, Indent indent) const |
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virtual void | PrintTrailer (std::ostream &os, Indent indent) const |
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virtual | ~LightObject () |
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