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ITK
5.4.0
Insight Toolkit
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#include <itkRealToHalfHermitianForwardFFTImageFilter.h>
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 dimension to N/2+1, where N is the size of the input image in that dimension and the division by 2 is rounded down.
Definition at line 57 of file itkRealToHalfHermitianForwardFFTImageFilter.h.
using itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::ConstPointer = SmartPointer<const Self> |
Definition at line 76 of file itkRealToHalfHermitianForwardFFTImageFilter.h.
using itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::InputImageType = TInputImage |
Standard class type aliases.
Definition at line 64 of file itkRealToHalfHermitianForwardFFTImageFilter.h.
using itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::InputIndexType = typename InputImageType::IndexType |
Definition at line 66 of file itkRealToHalfHermitianForwardFFTImageFilter.h.
using itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::InputPixelType = typename InputImageType::PixelType |
Definition at line 65 of file itkRealToHalfHermitianForwardFFTImageFilter.h.
using itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::InputSizeType = typename InputImageType::SizeType |
Definition at line 67 of file itkRealToHalfHermitianForwardFFTImageFilter.h.
using itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::OutputImageType = TOutputImage |
Definition at line 68 of file itkRealToHalfHermitianForwardFFTImageFilter.h.
using itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::OutputIndexType = typename OutputImageType::IndexType |
Definition at line 70 of file itkRealToHalfHermitianForwardFFTImageFilter.h.
using itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::OutputPixelType = typename OutputImageType::PixelType |
Definition at line 69 of file itkRealToHalfHermitianForwardFFTImageFilter.h.
using itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::OutputSizeType = typename OutputIndexType::SizeType |
Definition at line 71 of file itkRealToHalfHermitianForwardFFTImageFilter.h.
using itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::Pointer = SmartPointer<Self> |
Definition at line 75 of file itkRealToHalfHermitianForwardFFTImageFilter.h.
using itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::Self = RealToHalfHermitianForwardFFTImageFilter |
Definition at line 73 of file itkRealToHalfHermitianForwardFFTImageFilter.h.
using itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::Superclass = ImageToImageFilter<InputImageType, OutputImageType> |
Definition at line 74 of file itkRealToHalfHermitianForwardFFTImageFilter.h.
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protected |
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overrideprotecteddefault |
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overrideprotectedvirtual |
This class produces the entire output.
Reimplemented from itk::ProcessObject.
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overrideprotectedvirtual |
This class requires the entire input.
Reimplemented from itk::ImageToImageFilter< TInputImage, TOutputImage >.
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overrideprotectedvirtual |
The output is a different size from the input because of Hermitian symmetry.
Reimplemented from itk::ProcessObject.
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virtual |
Get whether the actual X dimension of the image is odd or not in the full representation
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Run-time type information (and related methods).
Reimplemented from itk::ImageToImageFilter< TInputImage, TOutputImage >.
Reimplemented in itk::FFTWRealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >, and itk::VnlRealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >.
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itk::RealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::itkFactoryOnlyNewMacro | ( | Self | ) |
Customized object creation methods that support configuration-based selection of FFT implementation.
Default implementation is VnlFFT.
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protectedvirtual |