rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType > Class Template Reference

#include <rtkSplatWithKnownWeightsImageFilter.h>

Inheritance diagram for rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >:

Collaboration diagram for rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >:

Public Types
using	OutputImageRegionType = typename VolumeSeriesType::RegionType
using	Pointer = itk::SmartPointer< Self >
using	Self = SplatWithKnownWeightsImageFilter
using	Superclass = itk::ImageToImageFilter< VolumeSeriesType, VolumeSeriesType >

Public Member Functions
virtual ::itk::LightObject::Pointer	CreateAnother () const
virtual const char *	GetNameOfClass () const
virtual int	GetProjectionNumber ()
virtual itk::Array2D< float >	GetWeights ()
void	SetInputVolume (const VolumeType *Volume)
void	SetInputVolumeSeries (const VolumeSeriesType *VolumeSeries)
void	SetProjectionNumber (int n)
virtual void	SetWeights (itk::Array2D< float > _arg)

Static Public Member Functions
static Pointer	New ()

Protected Member Functions
const itk::ImageRegionSplitterBase *	GetImageRegionSplitter (void) const override
VolumeType::Pointer	GetInputVolume ()
VolumeSeriesType::ConstPointer	GetInputVolumeSeries ()
	SplatWithKnownWeightsImageFilter ()
void	ThreadedGenerateData (const typename VolumeSeriesType::RegionType &outputRegionForThread, itk::ThreadIdType) override
	~SplatWithKnownWeightsImageFilter () override=default

Protected Attributes
int	m_ProjectionNumber
itk::ImageRegionSplitterDirection::Pointer	m_Splitter
itk::Array2D< float >	m_Weights

Detailed Description

template<typename VolumeSeriesType, typename VolumeType>
class rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >

Splats (linearly) a 3D volume into a 3D+t sequence of volumes.

See the reference paper: "Cardiac C-arm computed tomography using a 3D + time ROI reconstruction method with spatial and temporal regularization" by Mory et al.

4D conjugate gradient reconstruction consists in iteratively minimizing the following cost function:

Sum_over_theta || R_theta S_theta f - p_theta ||_2^2

with

• f a 4D series of 3D volumes, each one being the reconstruction at a given respiratory/cardiac phase
• p_theta is the projection measured at angle theta
• S_theta an interpolation operator which, from the 3D + time sequence f, estimates the 3D volume through which projection p_theta has been acquired
• R_theta is the X-ray transform (the forward projection operator) for angle theta

Computing the gradient of this cost function yields:

S_theta^T R_theta^T R_theta S_theta f - S_theta^T R_theta^T p_theta

where A^T means the adjoint of operator A.

SplatWithKnownWeightsImageFilter implements S_theta^T.

Test:

rtkfourdconjugategradienttest.cxx

Author

Cyril Mory

Definition at line 67 of file rtkSplatWithKnownWeightsImageFilter.h.

Member Typedef Documentation

template<typename VolumeSeriesType , typename VolumeType >

using rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::OutputImageRegionType = typename VolumeSeriesType::RegionType

Definition at line 76 of file rtkSplatWithKnownWeightsImageFilter.h.

template<typename VolumeSeriesType , typename VolumeType >

using rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::Pointer = itk::SmartPointer< Self >

Definition at line 75 of file rtkSplatWithKnownWeightsImageFilter.h.

template<typename VolumeSeriesType , typename VolumeType >

using rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::Self = SplatWithKnownWeightsImageFilter

Standard class type alias.

Definition at line 73 of file rtkSplatWithKnownWeightsImageFilter.h.

template<typename VolumeSeriesType , typename VolumeType >

using rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::Superclass = itk::ImageToImageFilter< VolumeSeriesType, VolumeSeriesType >

Definition at line 74 of file rtkSplatWithKnownWeightsImageFilter.h.

Constructor & Destructor Documentation

template<typename VolumeSeriesType , typename VolumeType >

rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::SplatWithKnownWeightsImageFilter ( )

protected

template<typename VolumeSeriesType , typename VolumeType >

rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::~SplatWithKnownWeightsImageFilter ( )

overrideprotecteddefault

Member Function Documentation

template<typename VolumeSeriesType , typename VolumeType >

virtual::itk::LightObject::Pointer rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::CreateAnother ( ) const

virtual

Reimplemented from itk::Object.

template<typename VolumeSeriesType , typename VolumeType >

const itk::ImageRegionSplitterBase* rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::GetImageRegionSplitter ( void  ) const

overrideprotectedvirtual

Splits the OutputRequestedRegion along the first direction, not the last

Reimplemented from itk::ImageSource< TOutputImage >.

template<typename VolumeSeriesType , typename VolumeType >

VolumeType::Pointer rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::GetInputVolume ( )

protected

template<typename VolumeSeriesType , typename VolumeType >

VolumeSeriesType::ConstPointer rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::GetInputVolumeSeries ( )

protected

template<typename VolumeSeriesType , typename VolumeType >

virtual const char* rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods).

Reimplemented from itk::ImageToImageFilter< TInputImage, TOutputImage >.

template<typename VolumeSeriesType , typename VolumeType >

virtual int rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::GetProjectionNumber ( )

virtual

template<typename VolumeSeriesType , typename VolumeType >

virtual itk::Array2D<float> rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::GetWeights ( )

virtual

Macros that take care of implementing the Get and Set methods for Weights and projectionNumber.

template<typename VolumeSeriesType , typename VolumeType >

static Pointer rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::New ( )

static

Method for creation through the object factory.

template<typename VolumeSeriesType , typename VolumeType >

void rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::SetInputVolume

(

const VolumeType *

Volume

)

The 3D image that will be added, with coefficients, to each 3D volume of the 4D image.

template<typename VolumeSeriesType , typename VolumeType >

void rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::SetInputVolumeSeries

(

const VolumeSeriesType *

VolumeSeries

)

The 4D image to be updated.

template<typename VolumeSeriesType , typename VolumeType >

void rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::SetProjectionNumber

(

int

n

)

template<typename VolumeSeriesType , typename VolumeType >

virtual void rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::SetWeights ( itk::Array2D< float >  _arg )

virtual

template<typename VolumeSeriesType , typename VolumeType >

void rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::ThreadedGenerateData ( const typename VolumeSeriesType::RegionType &  outputRegionForThread, itk::ThreadIdType    )

overrideprotected

Does the real work.

Member Data Documentation

template<typename VolumeSeriesType , typename VolumeType >

int rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::m_ProjectionNumber

protected

Definition at line 112 of file rtkSplatWithKnownWeightsImageFilter.h.

template<typename VolumeSeriesType , typename VolumeType >

itk::ImageRegionSplitterDirection::Pointer rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::m_Splitter

protected

Definition at line 109 of file rtkSplatWithKnownWeightsImageFilter.h.

template<typename VolumeSeriesType , typename VolumeType >

itk::Array2D<float> rtk::SplatWithKnownWeightsImageFilter< VolumeSeriesType, VolumeType >::m_Weights

protected

Definition at line 111 of file rtkSplatWithKnownWeightsImageFilter.h.

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

• rtkSplatWithKnownWeightsImageFilter.h