ITK  4.1.0
Insight Segmentation and Registration Toolkit
Public Types | Static Public Member Functions | Protected Member Functions | Private Member Functions
itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage > Class Template Reference

#include <itkRealToHalfHermitianForwardFFTImageFilter.h>

+ Inheritance diagram for itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >:
+ Collaboration diagram for itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >:

List of all members.

Public Types

typedef SmartPointer< const SelfConstPointer
typedef TInputImage InputImageType
typedef InputImageType::IndexType InputIndexType
typedef InputImageType::PixelType InputPixelType
typedef InputImageType::SizeType InputSizeType
typedef TOutputImage OutputImageType
typedef OutputImageType::IndexType OutputIndexType
typedef OutputImageType::PixelType OutputPixelType
typedef OutputIndexType::SizeType OutputSizeType
typedef SmartPointer< SelfPointer
typedef
RealToHalfHermitianForwardFFTImageFilter 
Self
typedef ImageToImageFilter
< InputImageType,
OutputImageType
Superclass

Static Public Member Functions

static Pointer New (void)

Protected Member Functions

virtual void EnlargeOutputRequestedRegion (DataObject *output)
virtual void GenerateInputRequestedRegion ()
virtual void GenerateOutputInformation ()
 RealToHalfHermitianForwardFFTImageFilter ()
virtual ~RealToHalfHermitianForwardFFTImageFilter ()

Private Member Functions

void operator= (const Self &)
 RealToHalfHermitianForwardFFTImageFilter (const Self &)

Detailed Description

template<class TInputImage, class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
class itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >

Base class for specialized real-to-complex forward Fast Fourier Transform.

This is a base class for the "forward" or "direct" discrete Fourier Transform. This is an abstract base class: the actual implementation is provided by the best child class available on the system when the object is created via the object factory system.

This class transforms a real input image into its complex Fourier transform. The Fourier transform of a real input image has Hermitian symmetry: $ f(\mathbf{x}) = f^*(-\mathbf{x}) $. That is, when the result of the transform is split in half along the X-dimension, the values in the second half of the transform are the complex conjugates of values in the first half reflected about the center of the image in each dimension. This filter takes advantage of the Hermitian symmetry property and reduces the size of the output in the first dimention to N/2+1, where N is the size of the input image in that dimension and the division by 2 is rounded down.

See also:
HalfHermitianToRealInverseFFTImageFilter
ForwardFFTImageFilter

Definition at line 53 of file itkRealToHalfHermitianForwardFFTImageFilter.h.


Member Typedef Documentation

template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
typedef SmartPointer< const Self > itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::ConstPointer
template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
typedef TInputImage itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::InputImageType
template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
typedef InputImageType::IndexType itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::InputIndexType
template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
typedef InputImageType::PixelType itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::InputPixelType
template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
typedef InputImageType::SizeType itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::InputSizeType
template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
typedef TOutputImage itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::OutputImageType
template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
typedef OutputImageType::IndexType itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::OutputIndexType
template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
typedef OutputImageType::PixelType itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::OutputPixelType
template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
typedef OutputIndexType::SizeType itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::OutputSizeType
template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
typedef SmartPointer< Self > itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::Pointer
template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
typedef RealToHalfHermitianForwardFFTImageFilter itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::Self
template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
typedef ImageToImageFilter< InputImageType, OutputImageType > itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::Superclass

Constructor & Destructor Documentation

template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::RealToHalfHermitianForwardFFTImageFilter ( ) [inline, protected]
template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
virtual itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::~RealToHalfHermitianForwardFFTImageFilter ( ) [inline, protected, virtual]
template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::RealToHalfHermitianForwardFFTImageFilter ( const Self ) [private]

Member Function Documentation

template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
virtual void itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::EnlargeOutputRequestedRegion ( DataObject output) [protected, virtual]

This class produces the entire output.

Reimplemented from itk::ProcessObject.

template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
virtual void itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::GenerateInputRequestedRegion ( ) [protected, virtual]

This class requires the entire input.

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

template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
virtual void itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::GenerateOutputInformation ( ) [protected, virtual]

The output is a different size from the input because of Hermitian symmetry.

Reimplemented from itk::ProcessObject.

template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
static Pointer itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::New ( void  ) [static]

Customized object creation methods that support configuration-based selection of FFT implementation.

Default implementation is VnlFFT.

Reimplemented from itk::Object.

Reimplemented in itk::FFTWRealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >, and itk::VnlRealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >.

template<class TInputImage , class TOutputImage = Image< std::complex<typename TInputImage::PixelType>, TInputImage::ImageDimension>>
void itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::operator= ( const Self ) [private]

PushBackInput(), PushFronInput() in the public section force the input to be the type expected by an ImageToImageFilter. However, these methods end of "hiding" the versions from the superclass (ProcessObject) whose arguments are DataObjects. Here, we re-expose the versions from ProcessObject to avoid warnings about hiding methods from the superclass.

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

Reimplemented in itk::FFTWRealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >, and itk::VnlRealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >.


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