MomentsOfInertia3d

Computes the elements of the covariance matrix of a three-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

$M_{2x}$ ,

$M_{2y}$ ,

$M_{2z}$ ,

$M_{xy}$ ,

$M_{xz}$ and

$M_{yz}$ elements of this matrix. This object also contains the orientations of the largest and smallest eigenvector of the covariance matrix.

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

See also

Function Syntax

This function returns outputMeasurement.

// Function prototype
MomentsOfInertia3dMsr::Ptr
momentsOfInertia3d( std::shared_ptr< iolink::ImageView > inputImage, MomentsOfInertia3dMsr::Ptr outputMeasurement = NULL );

This function returns outputMeasurement.

// Function prototype.
moments_of_inertia_3d( input_image, output_measurement = None )

This function returns outputMeasurement.

// Function prototype.
public static MomentsOfInertia3dMsr
MomentsOfInertia3d( IOLink.ImageView inputImage, MomentsOfInertia3dMsr outputMeasurement = null );

Class Syntax

Parameters

Parameter Name		Description	Type	Supported Values	Default Value
	inputImage	The input grayscale image.	Image	Binary, Label or Grayscale	nullptr
	outputMeasurement	The output measurement result.	MomentsOfInertia3dMsr		nullptr

Parameter Name	Description	Type	Supported Values	Default Value
	input_image	The input grayscale image.	image	Binary, Label or Grayscale	None
	output_measurement	The output measurement result.	MomentsOfInertia3dMsr		None

Parameter Name	Description	Type	Supported Values	Default Value
	inputImage	The input grayscale image.	Image	Binary, Label or Grayscale	null
	outputMeasurement	The output measurement result.	MomentsOfInertia3dMsr		null

Object Examples

auto foam = readVipImage( std::string( IMAGEDEVDATA_IMAGES_FOLDER ) + "foam.vip" );

MomentsOfInertia3d momentsOfInertia3dAlgo;
momentsOfInertia3dAlgo.setInputImage( foam );
momentsOfInertia3dAlgo.execute();

std::cout << "momentXX: " << momentsOfInertia3dAlgo.outputMeasurement()->momentXX( ) ;

foam = imagedev.read_vip_image(imagedev_data.get_image_path("foam.vip"))

moments_of_inertia_3d_algo = imagedev.MomentsOfInertia3d()
moments_of_inertia_3d_algo.input_image = foam
moments_of_inertia_3d_algo.execute()

print( "momentXX: ", str( moments_of_inertia_3d_algo.output_measurement.moment_x_x( ) ) )

ImageView foam = Data.ReadVipImage( @"Data/images/foam.vip" );

MomentsOfInertia3d momentsOfInertia3dAlgo = new MomentsOfInertia3d
{
    inputImage = foam
};
momentsOfInertia3dAlgo.Execute();

Console.WriteLine( "momentXX: " + momentsOfInertia3dAlgo.outputMeasurement.momentXX( ) );

Function Examples

auto foam = readVipImage( std::string( IMAGEDEVDATA_IMAGES_FOLDER ) + "foam.vip" );

auto result = momentsOfInertia3d( foam );

std::cout << "momentXX: " << result->momentXX( ) ;

foam = imagedev.read_vip_image(imagedev_data.get_image_path("foam.vip"))

result = imagedev.moments_of_inertia_3d( foam )

print( "momentXX: ", str( result.moment_x_x( ) )  )

ImageView foam = Data.ReadVipImage( @"Data/images/foam.vip" );

MomentsOfInertia3dMsr result = Processing.MomentsOfInertia3d( foam );

Console.WriteLine(  "momentXX: " + result.momentXX( )  );

MomentsOfInertia3d

- Function Syntax

+ Class Syntax

Parameters

Object Examples

Function Examples

Function Syntax

Class Syntax