IntensityIntegral2d

Computes the sum of all pixel intensities of a two-dimensional image.

Access to parameter description

For an introduction: section Image Analysis.

In the continuous case, the 2D intensity integral of an object $X$ is defined as: $$ V(X)=\int_{R^2}I(x,y)dxdy $$
In the discrete case, intensity integral is approximated by the sum of the pixel intensities in X: $$ V(X)=\sum_{i,j}I(x_i,y_j) $$ where $I(x_i,y_j)$ = the intensity of pixel of coordinates $x_i,y_j$

On a grayscale image, this algorithm computes the sum of gray values in the image.
This algorithm takes into account the pixel size given by the input image calibration property. Each pixel intensity is multiplied by the pixels size in the X and Y directions before to be added to the result.

On a binary image it amounts to compute a 2D area.

See also

• Area2d
• ObjectVolume
• IntensityIntegral3d
• VolumeFractionByLabel

// Function prototype.
IntensityIntegral2dMsr::Ptr
intensityIntegral2d( std::shared_ptr< iolink::ImageView > inputImage, IntensityIntegral2dMsr::Ptr outputMeasurement = NULL );

// Function prototype.
intensity_integral_2d( input_image, output_measurement = None )

// Function prototype.
public static IntensityIntegral2dMsr
IntensityIntegral2d( IOLink.ImageView inputImage, IntensityIntegral2dMsr outputMeasurement = null );

// Command constructor.
IntensityIntegral2d();

// Get method of the inputImage parameter.
std::shared_ptr< iolink::ImageView > inputImage() const;
// Set method of the inputImage parameter.
void setInputImage( std::shared_ptr< iolink::ImageView > inputImage );

// Get method of the outputMeasurement parameter.
IntensityIntegral2dMsr::Ptr outputMeasurement() const;

// Method to launch the command.
void execute();

// Property of the inputImage parameter.
IntensityIntegral2d.input_image
// Property of the outputMeasurement parameter.
IntensityIntegral2d.output_measurement

// Method to launch the command.
execute()

// Command constructor.
IntensityIntegral2d()

// Property of the inputImage parameter.
IntensityIntegral2d.inputImage
// Property of the outputMeasurement parameter.
IntensityIntegral2d.outputMeasurement

// Method to launch the command.
Execute()

std::shared_ptr< iolink::ImageView > polystyrene = ioformat::readImage( std::string( IMAGEDEVDATA_IMAGES_FOLDER ) + "polystyrene.tif" );

IntensityIntegral2d intensityIntegral2dAlgo;
intensityIntegral2dAlgo.setInputImage( polystyrene );
intensityIntegral2dAlgo.execute();

std::cout << "intensityIntegral: " << intensityIntegral2dAlgo.outputMeasurement()->intensityIntegral( 0 ) ;

polystyrene = ioformat.read_image(imagedev_data.get_image_path("polystyrene.tif"))

intensity_integral_2d_algo = imagedev.IntensityIntegral2d()
intensity_integral_2d_algo.input_image = polystyrene
intensity_integral_2d_algo.execute()

print( 
print("intensityIntegral: ", intensity_integral_2d_algo.output_measurement.intensity_integral( 0 ) ) );

ImageView polystyrene = ViewIO.ReadImage( @"Data/images/polystyrene.tif" );

IntensityIntegral2d intensityIntegral2dAlgo = new IntensityIntegral2d
{
    inputImage = polystyrene
};
intensityIntegral2dAlgo.Execute();

Console.WriteLine( "intensityIntegral: " + intensityIntegral2dAlgo.outputMeasurement.intensityIntegral( 0 ) );

std::shared_ptr< iolink::ImageView > polystyrene = ioformat::readImage( std::string( IMAGEDEVDATA_IMAGES_FOLDER ) + "polystyrene.tif" );

auto result = intensityIntegral2d( polystyrene );

std::cout << "intensityIntegral: " << result->intensityIntegral( 0 ) ;

polystyrene = ioformat.read_image(imagedev_data.get_image_path("polystyrene.tif"))

result = imagedev.intensity_integral_2d( polystyrene )

print( "intensityIntegral: ", result.intensity_integral( 0 ) );

ImageView polystyrene = ViewIO.ReadImage( @"Data/images/polystyrene.tif" );

IntensityIntegral2dMsr result = Processing.IntensityIntegral2d( polystyrene );

Console.WriteLine(  "intensityIntegral: " + result.intensityIntegral( 0 )  );