ImageDev

- Getting Started
- ImageDev Python
- ImageDev C#
- ImageDev C++
- Licensing Information
- Redistributable Files
- Processing
- Image Manipulation
- - Synthetic Images
  - - RandomImage2d
    - RandomImage3d
    - RandomGaussianImage2d
    - RandomGaussianImage3d
    - RadialFunctionImage2d
    - RadialFunctionImage3d
    - OrientedLinesImage2d
    - OrientedLinesImage3d
    - RandomSphereImage3d
    - BoxGridImage2d
    - BoxGridImage3d
    - WedgeMaskImage3d
    - PointSpreadFunctionImage3d
  - Image Editing
  - - ConvertImage
    - ResetImage
    - CopyImage
    - PasteImage2d
    - PasteImage3d
    - CropImage2d
    - CropImage3d
    - SampleImage2d
    - SampleImage3d
    - InterlaceFrames2d
    - DeinterlaceFrames2d
  - Stack Operations
  - - SequenceConcatenation
    - SequenceToMultispectral
    - SequenceToVolume
    - VolumeToSequence
    - MultispectralToSequence
    - GetSliceFromVolume3d
    - SetSliceToVolume3d
    - GetObliqueSliceFromVolume3d
    - ImageStackProjection3d
    - VolumeProjection3d
- Geometry And Matching
- - Geometric Transforms
  - - Shearing3d
    - TranslateImage2d
    - TranslateImage3d
    - Flip2d
    - Flip3d
    - FlipImage2d
    - FlipImage3d
    - TransposeImage2d
    - TransposeImage3d
    - SwapQuadrants
    - Rotate2d
    - Rotate3d
    - RotationGenerator3d
    - Resize2d
    - Resize3d
    - RescaleByFactor
    - RescaleImageByFactor
    - ResampleAffine2d
    - ResampleAffine3d
    - ResampleElastic2d
    - SurfaceUnfolding3d
  - Pattern Recognition
  - - BinaryCorrelation2d
    - CrossCorrelation2d
    - CorrelationByDifference2d
    - CorrelationBySignChange2d
  - Registration
  - - ImagePrealignment3d
    - AffineRegistration
    - ElasticRegistration2d
- Arithmetic And Logic
- - Arithmetical Operations
  - - AbsoluteValue
    - AbsoluteMaximumWithImage
    - ArithmeticOperationWithImage
    - ArithmeticOperationWithValue
    - BlendWithImage
    - BlendWithValue
    - DirectionalBlending2d
    - CombineByMask
    - ImageFormula
    - EigenDecomposition2d
    - EigenDecomposition3d
  - Logical Operations
  - - MaskImage
    - LogicalOperationWithImage
    - LogicalOperationWithValue
    - LogicalNot
    - InvertImage
    - BitShift
- Image Filtering
- - Grayscale Transforms
  - - RescaleIntensity
    - StackRescaleIntensity
    - MatchContrast
    - HistogramEqualization
    - Clahe2d
    - Clahe3d
    - AdaptiveHistogramEqualization
    - ApplyGrayscaleLut
    - BackgroundImage2d
    - RadialBackgroundImage2d
    - ShadingCorrection
    - Exponential
    - Logarithm
    - Square
    - SquareRoot
    - RingArtifactRemoval3d
    - BeamHardeningCorrection3d
  - Color Transforms
  - - ColorToLightness
    - GetColorChannel
    - ColorToGrayscale
    - GrayscaleToColor
    - ColorSpaceConversion
    - ColorAntialiasing2d
    - BayerToRgb2d
    - DecorrelationStretch2d
    - BlendAlphaChannelWithImage
    - BlendAlphaChannelWithValue
  - Smoothing And Denoising
  - - BoxFilter2d
    - BoxFilter3d
    - MedianFilter2d
    - MedianFilter3d
    - GaussianFilter2d
    - GaussianFilter3d
    - ExponentialFilter2d
    - RecursiveExponentialFilter2d
    - RecursiveExponentialFilter3d
    - NonLocalMeansFilter2d
    - NonLocalMeansFilter3d
    - CurvatureDrivenDiffusion
    - BilateralFilter2d
    - BilateralFilter3d
    - MajorityFilter2d
    - MajorityFilter3d
    - SigmaFilter2d
    - SigmaFilter3d
    - Despeckle2d
    - Despeckle3d
    - NagaoFilter2d
    - NagaoFilter3d
    - SnnFilter2d
    - SnnFilter3d
    - FlowInpainting
  - Sharpening
  - - Deblurring2d
    - Delineate2d
    - Delineate3d
    - UnsharpMasking2d
    - UnsharpMasking3d
    - Shade2d
    - RichardsonLucyDeconvolution
  - Texture Filters
  - - MeanFilter2d
    - MeanFilter3d
    - VarianceFilter2d
    - VarianceFilter3d
    - SkewnessFilter2d
    - SkewnessFilter3d
    - KurtosisFilter2d
    - KurtosisFilter3d
    - ContrastFilter2d
    - ContrastFilter3d
    - VariationFilter2d
    - VariationFilter3d
    - EnergyFilter2d
    - EnergyFilter3d
    - EntropyFilter2d
    - EntropyFilter3d
    - AutocorrelationFilter
    - LocalAutocorrelationFilter2d
    - ImageCurvature2d
    - ImageCurvature3d
    - StructureEnhancementFilter2d
    - StructureEnhancementFilter3d
    - ScaleSpaceLogFilter2d
    - ScaleSpaceLogFilter3d
  - Frequency Domain
  - - ComplexFft
    - ComplexFftInverse
    - ComplexCenteredFft
    - ComplexCenteredFftInverse
    - CartesianToPolar2d
    - PolarToCartesian2d
    - ConvolutionWithImage
    - ConvolutionWithImage2d
    - RadialFrequencyFilter2d
    - GaborFiltering2d
- Edge Detection
- - Gradient
  - - GradientOperator2d
    - GradientOperator3d
    - VectorToMagnitude2d
    - VectorToMagnitude3d
    - GradientVector2d
    - GradientVector3d
    - GradientMagnitude2d
    - GradientMagnitude3d
    - MorphologicalGradient2d
    - MorphologicalGradient3d
    - RadialGradientCentered2d
    - RadialGradientCentered3d
    - RadialGradientContour2d
    - RadialGradientContour3d
    - RadialGradientLabel2d
    - RadialGradientLabel3d
  - Laplacian
  - - DobFilter2d
    - DobFilter3d
    - MorphologicalLaplacian
    - RecursiveLaplacian2d
    - RecursiveLaplacian3d
  - Other Derivatives
  - - GaussianDerivative2d
    - GaussianDerivative3d
    - GaussianHessianMatrix2d
    - GaussianHessianMatrix3d
    - GaussianGradientTensor2d
    - GaussianGradientTensor3d
  - Edge Marking
  - - ImageLocalMaxima2d
    - ImageLocalMaxima3d
    - RidgeDetection
    - ZeroCrossings2d
    - DijkstraShortestPath2d
    - EigenvaluesToStructureness2d
    - EigenvaluesToStructureness3d
    - TensorVoting2d
    - CannyEdgeDetector2d
    - CannyEdgeDetector3d
- Image Segmentation
- - Binarization
  - - Thresholding
    - ThresholdingByCriterion
    - AutoThresholdingBright
    - AutoThresholdingDark
    - ColorThresholding
    - TopHat
    - FeatureAdaptiveThresholding
    - AdaptiveThresholding2d
    - AdaptiveThresholding3d
    - HysteresisThresholding
  - Labeling
  - - Labeling2d
    - Labeling3d
    - ReorderLabels
    - AssignLabel
    - AddObjectToLabel
    - GroupCloseLabelsl2d
  - Feature Selection
  - - KillBorder2d
    - KillBorder3d
    - RemoveSmallSpots
    - ObjectBoundaries
    - BinarySmoothing2d
    - BinarySmoothing3d
    - LabelInterfaces
  - Separating And Filling
  - - FillHoles2d
    - FillHoles3d
    - RemoveSmallHoles
    - FillImageBorder3d
    - ExpandLabelBoundaries
    - SeparateObjects
    - HExtremaWatershed
    - SeparateObjectsByBlock
    - HExtremaWatershedByBlock
    - ConvexHull2d
  - Region Growing
  - - MarkerBasedWatershed2d
    - MarkerBasedWatershed3d
    - MarkerBasedWatershedByBlock
    - MarkerBasedWatershedBasinsByBlock
    - ExpandLabelsOnBackground
    - FloodFillThreshold2d
    - FloodFillThreshold3d
    - Waterpixel
  - Computational Geometry
  - - PolylineResampler2d
    - PolylineResampler3d
    - PolylineExtrusion3d
    - SurfaceFitting3d
- Mathematical Morphology
- - Erosion And Dilation
  - - Erosion2d
    - Erosion3d
    - Dilation2d
    - Dilation3d
    - ErosionDisk2d
    - ErosionDisk3d
    - ErosionBall3d
    - DilationDisk2d
    - DilationDisk3d
    - DilationBall3d
    - ErosionLine2d
    - ErosionLine3d
    - DilationLine2d
    - DilationLine3d
    - ErosionColor2d
    - DilationColor2d
    - SelectiveErosion2d
    - SelectiveErosion3d
    - SelectiveDilation2d
    - SelectiveDilation3d
  - Opening And Closing
  - - Opening2d
    - Opening3d
    - Closing2d
    - Closing3d
    - OpeningDisk2d
    - OpeningDisk3d
    - OpeningBall3d
    - ClosingDisk2d
    - ClosingDisk3d
    - ClosingBall3d
    - OpeningLine2d
    - OpeningLine3d
    - ClosingLine2d
    - ClosingLine3d
    - OpeningLineMaximum
    - ClosingLineMinimum
    - OpeningColor2d
    - ClosingColor2d
    - OpeningByReconstruction2d
    - OpeningByReconstruction3d
    - ClosingByReconstruction2d
    - ClosingByReconstruction3d
    - OpeningDiskByReconstruction2d
    - OpeningBallByReconstruction3d
    - ClosingDiskByReconstruction2d
    - ClosingBallByReconstruction3d
    - SelectiveOpening2d
    - SelectiveOpening3d
    - SelectiveClosing2d
    - SelectiveClosing3d
  - Hit Or Miss And Skeleton
  - - Skeleton
    - Centerline3d
    - InfluenceZones
    - Centroid2d
    - EndPoints2d
    - EndPoints3d
    - Pruning2d
    - Pruning3d
    - IsolatedPoints2d
    - IsolatedPoints3d
    - TriplePoints2d
    - InteriorPoints2d
    - ApplyMorphologicalLut2d
    - ApplyMorphologicalLut3d
  - Geodesic Transformations
  - - ReconstructionFromMarkers2d
    - ReconstructionFromMarkers3d
    - GrayscaleReconstruction2d
    - GrayscaleReconstruction3d
    - GrayscaleFillHoles2d
    - GrayscaleFillHoles3d
    - HExtrema2d
    - HExtrema3d
    - RegionalExtrema2d
    - RegionalExtrema3d
    - UltimateErosion
  - Distance Maps
  - - DistanceMap2d
    - DistanceMap3d
    - EuclideanDistanceMap3d
    - EuclideanDistanceMap2d
    - GeodesicDistanceMap
    - ClosestBoundaryPoints2d
    - ClosestBoundaryPoints3d
    - TimeMap
    - LocalThicknessMap3d
    - GeodesicPropagation2d
    - GeodesicMaxima
    - GeodesicMinima
- Image Analysis
- - Image Measurements
  - - BinaryAnalysis
    - Area2d
    - Area3d
    - IntensityIntegral2d
    - IntensityIntegral3d
    - ObjectCount
    - DistanceMean2d
    - EulerNumber2d
    - EulerNumber3d
    - FractalDimension
    - CurvatureIntegrals3d
  - Image Statistics
  - - IntensityExtrema
    - IntensityStatistics
    - IntensityMaskedStatistics
    - IntensityHistogram
    - IntensityBinHistogram
    - AutoThresholdingValue
    - CompareImage
    - CompareValue
    - SimilarityMetricValue
    - SsimValue2d
    - SsimValue3d
    - RegionSimilarity
    - RadialIntensityProfile2d
    - RadialIntensityProfile3d
    - CylindricalIntensityProfile3d
    - RadialAutocorrelationProfile
    - Cooccurrence2d
    - MeasureGaussianNoise
    - LocalMaxima2d
    - LocalMaxima3d
    - PeakExtractor
    - LocalDensityMap2d
    - LocalDensityMap3d
    - SegmentationMetrics
  - Individual Measurements
  - - VolumeFractionByLabel
    - LabelCountByRegion
    - VolumeFractionByRegion
    - LabelAnalysis
    - LabelFiltering
    - LabelFilteringAnalysis
    - FilterAnalysis
    - MeasurementToImage
    - FilterByMeasurement
    - SieveLabeling
  - Moments And Orientations
  - - MomentsOfInertia2d
    - MomentsOfInertia3d
    - InertiaMoment2d
    - Eccentricity2d
    - OrientationMapFourier3d
    - OrientationMatchingFourier3d
  - Morphometry
  - - ObjectVolume
    - TotalImageVolume
    - ObjectBoundaryArea
    - TotalImageBoundaryArea
    - AverageObjectAreaPerSlice3d
    - AverageObjectCountPerSlice3d
    - ObjectImageRatio
    - ObjectSpecificSurface
    - ObjectSurfaceDensity
    - PorosityPercentage3d
    - FragmentationIndex
    - StructureModelIndex3d
    - AverageObjectThickness3d
    - AverageSpaceThickness3d
    - ObjectLinearDensity3d
    - DegreeOfAnisotropy
  - Propagation
  - - AxisPropagationBinary3d
    - AxisPropagationBinaryWithSeeds3d
    - AxisPropagationLabel3d
    - AxisPropagationLabelWithSeeds3d
    - AxisPropagationDistance3d
    - EstimateShortestPath3d
    - PercolationThreshold3d
    - AxisConnectivity3d
    - CentroidPathTortuosity3d
- Machine Learning
- - Classification
  - - AutoSegmentation3Phases
    - AutoIntensityClassification
    - SupervisedTextureClassification2d
    - SupervisedTextureClassification3d
    - TextureClassificationCreate
    - TextureClassificationTrain
    - TextureClassificationApply
  - Deep learning
  - - OnnxPredictionFiltering2d
    - OnnxPredictionFiltering3d
    - OnnxPredictionSegmentation2d
    - OnnxPredictionSegmentation3d
    - OnnxPredictionTwoOutputs2d
    - OnnxPredictionTwoOutputs3d
- Business Application
- - Dental
  - - DentalWallSegmentation3d
    - DentalMeshExtraction3d
    - DentalUnfolding3d
- IO
- - Image Data
  - - ReadVipImage
    - WriteVipImage
  - Algebraic Data
  - - ReadArrayXd
    - ReadArrayXi64
    - WriteArrayXd
    - WriteArrayXi64
  - Model
  - - ReadOnnxModel
- CUDA
- - Geometry And Matching
  - - CudaCrossCorrelation2d
    - CudaTemplateMatching3d
  - Image Filtering
  - - CudaBoxFilter2d
    - CudaMedianFilter2d
    - CudaGaussianFilter3d
    - CudaAdaptiveManifoldNlmFilter
  - Mathematical Morphology
  - - CudaErosion2d
    - CudaDilation2d
    - CudaOpening2d
    - CudaClosing2d
- Utilities
- Initialization
- Processing
- Syntax Check
- Visualization
- Data Object
- Image Data
- Kernels
- - MorphologicalKernel2d
  - MorphologicalKernel3d
  - MorphologicalLut2d
  - MorphologicalLut3d
- Model
- - TextureClassificationModel
  - OnnxModel
- Global Measurements
- - Image Measurements
  - - Area2dMsr
    - Area3dMsr
    - IntensityIntegral2dMsr
    - IntensityIntegral3dMsr
    - ObjectCountMsr
    - DistanceMeanMsr
    - Euler2dMsr
    - Euler3dMsr
    - FractalMsr
    - CurvatureIntegralsMsr
  - Image Statistics
  - - IntensityExtremaMsr
    - StatisticsMsr
    - IntensityHistogramMsr
    - IntensityBinHistogramMsr
    - CompareMsr
    - SimilarityMetricValueMsr
    - SsimValueMsr
    - RegionSimilarityMsr
    - SegmentationMetricsObjectMsr
    - SegmentationMetricsImageMsr
    - CylindricalIntensityProfileMsr
    - RadialIntensityProfileMsr
    - CorrelationMsr
    - CoocurrrenceMsr
    - GaussianNoiseMsr
    - LocalMaximaMsr
    - PeakExtractorMsr
  - Individual Measurements
  - - VolumeFractionByLabelMsr
    - LabelCountByRegionMsr
    - VolumeFractionByRegionMsr
  - Moments And Orientations
  - - MomentsOfInertia2dMsr
    - MomentsOfInertia3dMsr
    - MeanInertiaMomentMsr
    - Eccentricity2dMsr
    - LocalOrientation3dMsr
  - Morphometry
  - - ObjectVolumeMsr
    - ImageVolumeMsr
    - ObjectBoundaryAreaMsr
    - ImageBoundaryAreaMsr
    - AverageObjectAreaPerSliceMsr
    - AverageObjectCountPerSliceMsr
    - ObjectImageRatioMsr
    - ObjectSpecificSurfaceMsr
    - ObjectSurfaceDensityMsr
    - PorosityPercentageMsr
    - FragmentationMsr
    - StructureModelIndexMsr
    - AverageObjectThicknessMsr
    - AverageSpaceThicknessMsr
    - ObjectLinearDensityMsr
    - AnisotropyDegreeMsr
  - Propagation
  - - AxisPropagationBinary3dMsr
    - AxisPropagationLabel3dMsr
    - AxisPropagationDistance3dMsr
    - PercolationThreshold3dMsr
    - CentroidTortuosity3dMsr
  - Geometry And Matching
  - - CrossCorrelation2dMsr
  - Edge Detection
  - - CannyEdgeDetectorMsr
  - Image Segmentation
  - - AutoThresholdingMsr
    - AutoSegmentation3PhasesMsr
  - Mathematical Morphology
  - - ApplyMorphologicalLutMsr
- Analysis Measurements
- - AnalysisMsr
  - Measurement
  - Native Measurements
  - - Geometry
    - Feret
    - Intensity
    - Histogram
    - Inertia
    - Locate
    - Segment
    - Cooccurrence
  - CustomMeasurement
  - MeasurementAttributes
  - - Quantile
    - Histogram
    - Feret2d
    - Feret3d
    - NeighborCount
    - Cooccurrence
    - Breadth3d
  - MeasurementGroup
- Measurement Information
- - FieldInformation
  - CustomMeasurementInfo
- CUDA
- - CudaContext
- User Guide
- First Steps
- - Hello ImageDev
  - Initialize ImageDev
- Image Management
- - Create 2D Image
  - Create 3D Image
  - Data Transfer
- Standard Processing
- - Denoising
  - Thresholding
- Image Analysis
- - Global Analysis
  - Label Analysis
  - Measurement Browsing
  - Measurement Group
  - Custom Analysis
- Advanced Processing
- - Algorithm Tracking
- Typical Use Cases
- - Particle Analysis
  - Pore Analysis

# Closing2d

Performs a two-dimensional closing using a structuring element matching with a square or a cross.
Access to parameter description
For an introduction:

- section Mathematical Morphology
- section Introduction To Closing

This algorithm successively runs a Dilation2d and an Erosion2d with the same kernel.
The kernelRadius parameter tunes the number of iterations of each operation, which sets the kernel size.
This algorithm uses a basic structuring element with either 8 neighbors, or 4 neighbors, according to the neighborhood parameter.
Figure 1. Structuring elements
With a classic implementation, morphological closing systematically considers areas out of the image as a replication of the image borders at each step of the algorithm. Therefore, when applying a closing, some objects close to the image borders may be connected to the border at the dilation step and not be retro propagated after the dilation, while one would expect to keep them disconnected from the border. The borderPolicy parameter manages this case. The default mode, LIMITED, corresponds to the classic behavior. The EXTENDED mode properly manages image borders by extending them by a size equal to the structuring element's. This mode can be slower and more memory consuming, especially when the structuring element size is high.

(a) | (b) | (c)

Figure 2. Closing and border policy: (a) The binary input image,
(b) closing of size 10 with limited border policy, (c) same closing in extended mode
See also

- CudaClosing2d
- Dilation2d
- Erosion2d
- ClosingDisk2d
- ClosingByReconstruction2d
- Opening2d
- Closing3d

##
Function Syntax

This function returns outputImage.

    // Function prototype
    std::shared_ptr< iolink::ImageView >
    closing2d( std::shared_ptr< iolink::ImageView > inputImage,
               uint32_t kernelRadius,
               Closing2d::Neighborhood neighborhood,
               Closing2d::BorderPolicy borderPolicy,
               std::shared_ptr< iolink::ImageView > outputImage = nullptr );

This function returns outputImage.

    // Function prototype.
    closing_2d(input_image: idt.ImageType,
               kernel_radius: int = 3,
               neighborhood: Closing2d.Neighborhood = Closing2d.Neighborhood.CONNECTIVITY_8,
               border_policy: Closing2d.BorderPolicy = Closing2d.BorderPolicy.LIMITED,
               output_image: idt.ImageType = None) -> idt.ImageType

This function returns outputImage.

    // Function prototype.
    public static IOLink.ImageView
    Closing2d( IOLink.ImageView inputImage,
               UInt32 kernelRadius = 3,
               Closing2d.Neighborhood neighborhood = ImageDev.Closing2d.Neighborhood.CONNECTIVITY_8,
               Closing2d.BorderPolicy borderPolicy = ImageDev.Closing2d.BorderPolicy.LIMITED,
               IOLink.ImageView outputImage = null );

##
Class Syntax

    // Command constructor.
    Closing2d();

    /// Gets the inputImage parameter.
    /// The input image. The image type can be integer or float.
    std::shared_ptr< iolink::ImageView > inputImage() const;
    /// Sets the inputImage parameter.
    /// The input image. The image type can be integer or float.
    void setInputImage( std::shared_ptr< iolink::ImageView > inputImage );

    /// Gets the kernelRadius parameter.
    /// The number of iterations (the half size of the structuring element, in pixels). A square structuring element always has an odd side length (3x3, 5x5, etc.) which is defined by twice the kernel radius + 1.
    uint32_t kernelRadius() const;
    /// Sets the kernelRadius parameter.
    /// The number of iterations (the half size of the structuring element, in pixels). A square structuring element always has an odd side length (3x3, 5x5, etc.) which is defined by twice the kernel radius + 1.
    void setKernelRadius( const uint32_t& kernelRadius );

    /// Gets the neighborhood parameter.
    /// The 2D neighborhood configuration.
    Closing2d::Neighborhood neighborhood() const;
    /// Sets the neighborhood parameter.
    /// The 2D neighborhood configuration.
    void setNeighborhood( const Closing2d::Neighborhood& neighborhood );

    /// Gets the borderPolicy parameter.
    /// The border policy to apply.
    Closing2d::BorderPolicy borderPolicy() const;
    /// Sets the borderPolicy parameter.
    /// The border policy to apply.
    void setBorderPolicy( const Closing2d::BorderPolicy& borderPolicy );

    /// Gets the outputImage parameter.
    /// The output image. Its dimensions and type are forced to the same values as the input image.
    std::shared_ptr< iolink::ImageView > outputImage() const;
    /// Sets the outputImage parameter.
    /// The output image. Its dimensions and type are forced to the same values as the input image.
    void setOutputImage( std::shared_ptr< iolink::ImageView > outputImage );

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

    # Property of the inputImage parameter.
    Closing2d.input_image
    # Property of the kernelRadius parameter.
    Closing2d.kernel_radius
    # Property of the neighborhood parameter.
    Closing2d.neighborhood
    # Property of the borderPolicy parameter.
    Closing2d.border_policy
    # Property of the outputImage parameter.
    Closing2d.output_image

    // Method to launch the command.
    execute()

    // Command constructor.
    Closing2d()

    // Property of the inputImage parameter.
    Closing2d.inputImage
    // Property of the kernelRadius parameter.
    Closing2d.kernelRadius
    // Property of the neighborhood parameter.
    Closing2d.neighborhood
    // Property of the borderPolicy parameter.
    Closing2d.borderPolicy
    // Property of the outputImage parameter.
    Closing2d.outputImage

    // Method to launch the command.
    Execute()

## Parameters

Parameter Name | Description | Type | Supported Values | Default Value
--- | --- | --- | --- | ---
| inputImage | The input image. The image type can be integer or float. | Image | Binary, Label, Grayscale or Multispectral | nullptr
| borderPolicy | The border policy to apply.
LIMITED | The limited mode is faster to compute, but can produce unexpected results for particles close to the image border.
EXTENDED | The Extended mode is slower to compute, but produces the expected results for particles close to the image border.
| Enumeration |  | LIMITED
| kernelRadius | The number of iterations (the half size of the structuring element, in pixels). A square structuring element always has an odd side length (3x3, 5x5, etc.) which is defined by twice the kernel radius + 1. | UInt32 | >=1 | 3
| neighborhood | The 2D neighborhood configuration.
CONNECTIVITY_4 | The structuring element is a cross.
CONNECTIVITY_8 | The structuring element is a square.
| Enumeration |  | CONNECTIVITY_8
| outputImage | The output image. Its dimensions and type are forced to the same values as the input image. | Image |  | nullptr

Parameter Name | Description | Type | Supported Values | Default Value
--- | --- | --- | --- | ---
| input_image | The input image. The image type can be integer or float. | image | Binary, Label, Grayscale or Multispectral | None
| border_policy | The border policy to apply.
LIMITED | The limited mode is faster to compute, but can produce unexpected results for particles close to the image border.
EXTENDED | The Extended mode is slower to compute, but produces the expected results for particles close to the image border.
| enumeration |  | LIMITED
| kernel_radius | The number of iterations (the half size of the structuring element, in pixels). A square structuring element always has an odd side length (3x3, 5x5, etc.) which is defined by twice the kernel radius + 1. | uint32 | >=1 | 3
| neighborhood | The 2D neighborhood configuration.
CONNECTIVITY_4 | The structuring element is a cross.
CONNECTIVITY_8 | The structuring element is a square.
| enumeration |  | CONNECTIVITY_8
| output_image | The output image. Its dimensions and type are forced to the same values as the input image. | image |  | None

Parameter Name | Description | Type | Supported Values | Default Value
--- | --- | --- | --- | ---
| inputImage | The input image. The image type can be integer or float. | Image | Binary, Label, Grayscale or Multispectral | null
| borderPolicy | The border policy to apply.
LIMITED | The limited mode is faster to compute, but can produce unexpected results for particles close to the image border.
EXTENDED | The Extended mode is slower to compute, but produces the expected results for particles close to the image border.
| Enumeration |  | LIMITED
| kernelRadius | The number of iterations (the half size of the structuring element, in pixels). A square structuring element always has an odd side length (3x3, 5x5, etc.) which is defined by twice the kernel radius + 1. | UInt32 | >=1 | 3
| neighborhood | The 2D neighborhood configuration.
CONNECTIVITY_4 | The structuring element is a cross.
CONNECTIVITY_8 | The structuring element is a square.
| Enumeration |  | CONNECTIVITY_8
| outputImage | The output image. Its dimensions and type are forced to the same values as the input image. | Image |  | null

## Object Examples

    auto polystyrene = ioformat::readImage( std::string( IMAGEDEVDATA_IMAGES_FOLDER ) + "polystyrene.tif" );

    Closing2d closing2dAlgo;
    closing2dAlgo.setInputImage( polystyrene );
    closing2dAlgo.setKernelRadius( 3 );
    closing2dAlgo.setNeighborhood( Closing2d::Neighborhood::CONNECTIVITY_8 );
    closing2dAlgo.setBorderPolicy( Closing2d::BorderPolicy::EXTENDED );
    closing2dAlgo.execute();

    std::cout << "outputImage:" << closing2dAlgo.outputImage()->toString();

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

    closing_2d_algo = imagedev.Closing2d()
    closing_2d_algo.input_image = polystyrene
    closing_2d_algo.kernel_radius = 3
    closing_2d_algo.neighborhood = imagedev.Closing2d.CONNECTIVITY_8
    closing_2d_algo.border_policy = imagedev.Closing2d.EXTENDED
    closing_2d_algo.execute()

    print("output_image:", str(closing_2d_algo.output_image))

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

    Closing2d closing2dAlgo = new Closing2d
    {
        inputImage = polystyrene,
        kernelRadius = 3,
        neighborhood = Closing2d.Neighborhood.CONNECTIVITY_8,
        borderPolicy = Closing2d.BorderPolicy.EXTENDED
    };
    closing2dAlgo.Execute();

    Console.WriteLine( "outputImage:" + closing2dAlgo.outputImage.ToString() );

## Function Examples

    auto polystyrene = ioformat::readImage( std::string( IMAGEDEVDATA_IMAGES_FOLDER ) + "polystyrene.tif" );

    auto result = closing2d( polystyrene, 3, Closing2d::Neighborhood::CONNECTIVITY_8, Closing2d::BorderPolicy::EXTENDED );

    std::cout << "outputImage:" << result->toString();

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

    result = imagedev.closing_2d(polystyrene, 3, imagedev.Closing2d.CONNECTIVITY_8, imagedev.Closing2d.EXTENDED)

    print("output_image:", str(result))

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

    IOLink.ImageView result = Processing.Closing2d( polystyrene, 3, Closing2d.Neighborhood.CONNECTIVITY_8, Closing2d.BorderPolicy.EXTENDED );

    Console.WriteLine( "outputImage:" + result.ToString() );

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