MomentsOfInertia2d

Computes the elements of the covariance matrix of a two-dimensional grayscale image.

Access to parameter description

For an introduction:

section Image Analysis
section Moment And Orientation

This algorithm computes the variance-covariance matrix of the input image. It outputs an object containing the

$M_{2x}$ ,

$M_{2y}$ and

$M_{xy}$ elements of this matrix. This object also contains the first order moments

$M_{1x}$ and

$M_{1y}$ , and orientation of the largest eigenvector of the covariance matrix.

For this measurement the image calibration is ignored. The coordinates used to calculate the moments are expressed in pixels.

See also

Function Syntax

This function returns outputMeasurement.

// Function prototype
MomentsOfInertia2dMsr::Ptr
momentsOfInertia2d( std::shared_ptr< iolink::ImageView > inputImage, MomentsOfInertia2dMsr::Ptr outputMeasurement = NULL );

This function returns outputMeasurement.

// Function prototype.
moments_of_inertia_2d( input_image, output_measurement = None )

This function returns outputMeasurement.

// Function prototype.
public static MomentsOfInertia2dMsr
MomentsOfInertia2d( IOLink.ImageView inputImage, MomentsOfInertia2dMsr outputMeasurement = null );

Class Syntax

Parameters

Parameter Name		Description	Type	Supported Values	Default Value
	inputImage	The input image.	Image	Binary, Label or Grayscale	nullptr
	outputMeasurement	The output measurement result.	MomentsOfInertia2dMsr		nullptr

Parameter Name	Description	Type	Supported Values	Default Value
	input_image	The input image.	image	Binary, Label or Grayscale	None
	output_measurement	The output measurement result.	MomentsOfInertia2dMsr		None

Parameter Name	Description	Type	Supported Values	Default Value
	inputImage	The input image.	Image	Binary, Label or Grayscale	null
	outputMeasurement	The output measurement result.	MomentsOfInertia2dMsr		null

Object Examples

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

MomentsOfInertia2d momentsOfInertia2dAlgo;
momentsOfInertia2dAlgo.setInputImage( polystyrene );
momentsOfInertia2dAlgo.execute();

std::cout << "barycenterX: " << momentsOfInertia2dAlgo.outputMeasurement()->barycenterX( 0 ) ;

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

moments_of_inertia_2d_algo = imagedev.MomentsOfInertia2d()
moments_of_inertia_2d_algo.input_image = polystyrene
moments_of_inertia_2d_algo.execute()

print( "barycenterX: ", str( moments_of_inertia_2d_algo.output_measurement.barycenter_x( 0 ) ) )

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

MomentsOfInertia2d momentsOfInertia2dAlgo = new MomentsOfInertia2d
{
    inputImage = polystyrene
};
momentsOfInertia2dAlgo.Execute();

Console.WriteLine( "barycenterX: " + momentsOfInertia2dAlgo.outputMeasurement.barycenterX( 0 ) );

Function Examples

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

auto result = momentsOfInertia2d( polystyrene );

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

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

result = imagedev.moments_of_inertia_2d( polystyrene )

print( "barycenterX: ", str( result.barycenter_x( 0 ) )  )

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

MomentsOfInertia2dMsr result = Processing.MomentsOfInertia2d( polystyrene );

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

MomentsOfInertia2d

- Function Syntax

+ Class Syntax

Parameters

Object Examples

Function Examples

Function Syntax

Class Syntax