Compute Laplacian

Synopsis

This filter computes the Laplacian of a scalar-valued image.

Results

Input image

Input image

Output image

Output image

Code

Python

#!/usr/bin/env python

import sys
import itk

if len(sys.argv) != 3:
    print("Usage: " + sys.argv[0] + " <inputImage> <outputImage> ")
    sys.exit(1)

inputImage = sys.argv[1]
outputImage = sys.argv[2]

InputPixelType = itk.F
OutputPixelType = itk.UC
Dimension = 2

InputImageType = itk.Image[InputPixelType, Dimension]
OutputImageType = itk.Image[OutputPixelType, Dimension]

ReaderType = itk.ImageFileReader[InputImageType]
reader = ReaderType.New()
reader.SetFileName(inputImage)

FilterType = itk.LaplacianImageFilter[InputImageType, InputImageType]
laplacianFilter = FilterType.New()
laplacianFilter.SetInput(reader.GetOutput())

RescaleFilterType = itk.RescaleIntensityImageFilter[InputImageType, OutputImageType]
rescaler = RescaleFilterType.New()
rescaler.SetInput(laplacianFilter.GetOutput())

outputPixelTypeMinimum = itk.NumericTraits[OutputPixelType].min()
outputPixelTypeMaximum = itk.NumericTraits[OutputPixelType].max()

rescaler.SetOutputMinimum(outputPixelTypeMinimum)
rescaler.SetOutputMaximum(outputPixelTypeMaximum)

WriterType = itk.ImageFileWriter[OutputImageType]
writer = WriterType.New()
writer.SetFileName(outputImage)
writer.SetInput(rescaler.GetOutput())

writer.Update()

C++

#include "itkImageFileReader.h"
#include "itkImageFileWriter.h"
#include "itkLaplacianImageFilter.h"
#include "itkRescaleIntensityImageFilter.h"

int
main(int argc, char * argv[])
{
  if (argc != 3)
  {
    std::cerr << "Usage: " << std::endl;
    std::cerr << argv[0];
    std::cerr << " <InputFileName> <OutputFileName>";
    std::cerr << std::endl;
    return EXIT_FAILURE;
  }

  const char * inputFileName = argv[1];
  const char * outputFileName = argv[2];

  constexpr unsigned int Dimension = 2;

  using InputPixelType = float;
  using InputImageType = itk::Image<InputPixelType, Dimension>;
  using OutputPixelType = unsigned char;
  using OutputImageType = itk::Image<OutputPixelType, Dimension>;

  using ReaderType = itk::ImageFileReader<InputImageType>;
  ReaderType::Pointer reader = ReaderType::New();
  reader->SetFileName(inputFileName);

  using FilterType = itk::LaplacianImageFilter<InputImageType, InputImageType>;
  FilterType::Pointer filter = FilterType::New();
  filter->SetInput(reader->GetOutput());

  using RescaleType = itk::RescaleIntensityImageFilter<InputImageType, OutputImageType>;
  RescaleType::Pointer rescaler = RescaleType::New();
  rescaler->SetInput(filter->GetOutput());
  rescaler->SetOutputMinimum(itk::NumericTraits<OutputPixelType>::min());
  rescaler->SetOutputMaximum(itk::NumericTraits<OutputPixelType>::max());

  using WriterType = itk::ImageFileWriter<OutputImageType>;
  WriterType::Pointer writer = WriterType::New();
  writer->SetFileName(outputFileName);
  writer->SetInput(rescaler->GetOutput());

  try
  {
    writer->Update();
  }
  catch (itk::ExceptionObject & error)
  {
    std::cerr << "Error: " << error << std::endl;
    return EXIT_FAILURE;
  }

  return EXIT_SUCCESS;
}

Classes demonstrated

template<typename TInputImage, typename TOutputImage>
class LaplacianImageFilter : public itk::ImageToImageFilter<TInputImage, TOutputImage>

This filter computes the Laplacian of a scalar-valued image.

The Laplacian is an isotropic measure of the 2nd spatial derivative of an image. The Laplacian of an image highlights regions of rapid intensity change and is therefore often used for edge detection. Often, the Laplacian is applied to an image that has first been smoothed with a Gaussian filter in order to reduce its sensitivity to noise.

The Laplacian at each pixel location is computed by convolution with the itk::LaplacianOperator.

Inputs and Outputs

The input to this filter is a scalar-valued itk::Image of arbitrary dimension. The output is a scalar-valued itk::Image.

Warning

The pixel type of the input and output images must be of real type (float or double). ConceptChecking is used here to enforce the input pixel type. You will get a compilation error if the pixel type of the input and output images is not float or double.

See

Image

See

Neighborhood

See

NeighborhoodOperator

See

NeighborhoodIterator

See

LaplacianOperator

ITK Sphinx Examples:

See itk::LaplacianImageFilter for additional documentation.