MedianFilter2d
Nonlinear filter smoothing a two-dimensional image with the median morphological operator.
Access to parameter description
For an introduction to image filters: section Images Filtering.
This algorithm uses morphological operators to set the pixel value to the median for the defined neighborhood. This filter is particularly effective for removing speckle noise and salt and pepper noise (impulsive noise) without affecting edges.
The median filter usually works well with images containing non-Gaussian noise and/or very small artifacts. It does not cause blurring to the same extent as the Box Filter, but takes longer to execute.
The gray levels of all pixels of the considered neighborhood are sorted from the smallest value to the largest one. The central pixel in the sort is then the median value (the value for which there are as many lower gray levels as higher ones). The process can be iterated.
Considering the array: $$ \begin{bmatrix} 12 & 17 & 15 \\ 20 & 14 & 16 \\ 18 & 19 & 14 \end{bmatrix} $$ The sorted gray level values are: [12 14 14 15 16 17 18 19 20]. The median value is 16, and it is assigned to the output pixel.
See also
See related examples
Access to parameter description
For an introduction to image filters: section Images Filtering.
This algorithm uses morphological operators to set the pixel value to the median for the defined neighborhood. This filter is particularly effective for removing speckle noise and salt and pepper noise (impulsive noise) without affecting edges.
The median filter usually works well with images containing non-Gaussian noise and/or very small artifacts. It does not cause blurring to the same extent as the Box Filter, but takes longer to execute.
The gray levels of all pixels of the considered neighborhood are sorted from the smallest value to the largest one. The central pixel in the sort is then the median value (the value for which there are as many lower gray levels as higher ones). The process can be iterated.
Considering the array: $$ \begin{bmatrix} 12 & 17 & 15 \\ 20 & 14 & 16 \\ 18 & 19 & 14 \end{bmatrix} $$ The sorted gray level values are: [12 14 14 15 16 17 18 19 20]. The median value is 16, and it is assigned to the output pixel.
See also
See related examples
Function Syntax
This function returns outputImage.
// Function prototype
std::shared_ptr< iolink::ImageView > medianFilter2d( std::shared_ptr< iolink::ImageView > inputImage, uint32_t kernelRadius, MedianFilter2d::KernelMode kernelMode, MedianFilter2d::SearchMode searchMode, std::shared_ptr< iolink::ImageView > outputImage = NULL );
This function returns outputImage.
// Function prototype. median_filter_2d( input_image, kernel_radius = 3, kernel_mode = MedianFilter2d.KernelMode.SQUARE, search_mode = MedianFilter2d.SearchMode.AUTOMATIC, output_image = None )
This function returns outputImage.
// Function prototype. public static IOLink.ImageView MedianFilter2d( IOLink.ImageView inputImage, UInt32 kernelRadius = 3, MedianFilter2d.KernelMode kernelMode = ImageDev.MedianFilter2d.KernelMode.SQUARE, MedianFilter2d.SearchMode searchMode = ImageDev.MedianFilter2d.SearchMode.AUTOMATIC, IOLink.ImageView outputImage = null );
Class Syntax
Parameters
Class Name | MedianFilter2d |
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Parameter Name | Description | Type | Supported Values | Default Value | |||||||
---|---|---|---|---|---|---|---|---|---|---|---|
inputImage |
The input image. | Image | Binary, Label, Grayscale or Multispectral | nullptr | |||||||
kernelRadius |
The half size of the structuring element. 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 | |||||||
kernelMode |
The structuring element shape and application mode.
|
Enumeration | SQUARE | ||||||||
searchMode |
Handles all types of method for finding the median.
|
Enumeration | AUTOMATIC | ||||||||
outputImage |
The output image. Its dimensions and type are forced to the same values as the input. | Image | nullptr |
Object Examples
std::shared_ptr< iolink::ImageView > polystyrene = ioformat::readImage( std::string( IMAGEDEVDATA_IMAGES_FOLDER ) + "polystyrene.tif" ); MedianFilter2d medianFilter2dAlgo; medianFilter2dAlgo.setInputImage( polystyrene ); medianFilter2dAlgo.setKernelRadius( 3 ); medianFilter2dAlgo.setKernelMode( MedianFilter2d::KernelMode::SQUARE ); medianFilter2dAlgo.setSearchMode( MedianFilter2d::SearchMode::AUTOMATIC ); medianFilter2dAlgo.execute(); std::cout << "outputImage:" << medianFilter2dAlgo.outputImage()->toString();
polystyrene = ioformat.read_image(imagedev_data.get_image_path("polystyrene.tif")) median_filter_2d_algo = imagedev.MedianFilter2d() median_filter_2d_algo.input_image = polystyrene median_filter_2d_algo.kernel_radius = 3 median_filter_2d_algo.kernel_mode = imagedev.MedianFilter2d.SQUARE median_filter_2d_algo.search_mode = imagedev.MedianFilter2d.AUTOMATIC median_filter_2d_algo.execute() print( "output_image:", str( median_filter_2d_algo.output_image ) )
ImageView polystyrene = ViewIO.ReadImage( @"Data/images/polystyrene.tif" ); MedianFilter2d medianFilter2dAlgo = new MedianFilter2d { inputImage = polystyrene, kernelRadius = 3, kernelMode = MedianFilter2d.KernelMode.SQUARE, searchMode = MedianFilter2d.SearchMode.AUTOMATIC }; medianFilter2dAlgo.Execute(); Console.WriteLine( "outputImage:" + medianFilter2dAlgo.outputImage.ToString() );
Function Examples
std::shared_ptr< iolink::ImageView > polystyrene = ioformat::readImage( std::string( IMAGEDEVDATA_IMAGES_FOLDER ) + "polystyrene.tif" ); auto result = medianFilter2d( polystyrene, 3, MedianFilter2d::KernelMode::SQUARE, MedianFilter2d::SearchMode::AUTOMATIC ); std::cout << "outputImage:" << result->toString();
polystyrene = ioformat.read_image(imagedev_data.get_image_path("polystyrene.tif")) result = imagedev.median_filter_2d( polystyrene, 3, imagedev.MedianFilter2d.SQUARE, imagedev.MedianFilter2d.AUTOMATIC ) print( "output_image:", str( result ) )
ImageView polystyrene = ViewIO.ReadImage( @"Data/images/polystyrene.tif" ); IOLink.ImageView result = Processing.MedianFilter2d( polystyrene, 3, MedianFilter2d.KernelMode.SQUARE, MedianFilter2d.SearchMode.AUTOMATIC ); Console.WriteLine( "outputImage:" + result.ToString() );