Eccentricity2d

Computes a shape factor of a binary two-dimensional image.

Access to parameter description

For an introduction:

• section Image Analysis
• section Moment And Orientation

The eccentricty is a classical elliptic parameter used for characterizing the shape of binarized objects. The eccentricity of an ellipse, usually denoted by $e$, is the ratio of the distance between its two foci to the length of its major axis.

The eccentricity is necessarily between 0 and 1; it is zero if and only if $a=b$, in which case the ellipse is a circle.
As the eccentricity tends to 1, the ellipse gets a more elongated shape and tends either towards a line segment (see below) or a parabola, and the ratio $a/b$ tends to infinity: $$e=\sqrt{1-\frac{b^2}{a^2}}$$
See also

• MomentsOfInertia2d
• DegreeOfAnisotropy

// Function prototype.
Eccentricity2dMsr::Ptr
eccentricity2d( std::shared_ptr< iolink::ImageView > inputBinaryImage, Eccentricity2dMsr::Ptr outputMeasurement = NULL );

// Function prototype.
eccentricity_2d( input_binary_image, output_measurement = None )

// Function prototype.
public static Eccentricity2dMsr
Eccentricity2d( IOLink.ImageView inputBinaryImage, Eccentricity2dMsr outputMeasurement = null );

// Command constructor.
Eccentricity2d();

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

// Get method of the outputMeasurement parameter.
Eccentricity2dMsr::Ptr outputMeasurement() const;

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

// Property of the inputBinaryImage parameter.
Eccentricity2d.input_binary_image
// Property of the outputMeasurement parameter.
Eccentricity2d.output_measurement

// Method to launch the command.
execute()

// Command constructor.
Eccentricity2d()

// Property of the inputBinaryImage parameter.
Eccentricity2d.inputBinaryImage
// Property of the outputMeasurement parameter.
Eccentricity2d.outputMeasurement

// Method to launch the command.
Execute()

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

Eccentricity2d eccentricity2dAlgo;
eccentricity2dAlgo.setInputBinaryImage( polystyrene_sep );
eccentricity2dAlgo.execute();

std::cout << "eccentricity: " << eccentricity2dAlgo.outputMeasurement()->eccentricity( ) ;

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

eccentricity_2d_algo = imagedev.Eccentricity2d()
eccentricity_2d_algo.input_binary_image = polystyrene_sep
eccentricity_2d_algo.execute()

print( "eccentricity: ", str( eccentricity_2d_algo.output_measurement.eccentricity( ) ) )

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

Eccentricity2d eccentricity2dAlgo = new Eccentricity2d
{
    inputBinaryImage = polystyrene_sep
};
eccentricity2dAlgo.Execute();

Console.WriteLine( "eccentricity: " + eccentricity2dAlgo.outputMeasurement.eccentricity( ) );

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

auto result = eccentricity2d( polystyrene_sep );

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

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

result = imagedev.eccentricity_2d( polystyrene_sep )

print( "eccentricity: ", str( result.eccentricity( ) )  )

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

Eccentricity2dMsr result = Processing.Eccentricity2d( polystyrene_sep );

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