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DiscreteFourierTransformCommand Class

Computes the Discrete Fourier transform of an image or the Inverse Discrete Fourier transform as specified by the flags.
public class DiscreteFourierTransformCommand : RasterCommand 
@interface LTDiscreteFourierTransformCommand : LTRasterCommand 
public ref class DiscreteFourierTransformCommand : public RasterCommand   
class DiscreteFourierTransformCommand(RasterCommand): 

This command is available in the Imaging and above toolkits.

  • This command converts the image from the time domain to the frequency domain and vice versa using the Discrete Fourier Transform algorithm. Use the FastFourierTransformCommand to use a Fast Fourier Transform algorithm on an image.
  • Before using this command, you need to construct an instance from FourierTransformInformation.
  • The image can be transformed back into the original image minus the noise using the InverseDiscreteFourierTransform
  • This command does not work on regions. If the image has a region the command ignores it and processes the entire image.
  • This command does not support 12 and 16-bit grayscale and 48 and 64-bit color images. If the image is 12 and 16-bit grayscale and 48 and 64-bit color, the method will not threw an exception.
  • This command does not support 32-bit grayscale images.
  • This command does not support signed images.

Calculating Master Channel Values

In order to speed up widely used image processing filters in LEADTOOLS, the grayscale value (master channel) of a colored image is calculated using the following formulas:

#define CalcGrayValue(r, g, b) ((L_UCHAR)(((L_UCHAR) (((2 * (L_UINT) (r)) + (5 * (L_UINT) (g)) + (L_UINT) (b) + 4) / 8)))) 
#define CalcGrayValue16(r, g, b) ((L_UINT16) (((2 * (L_UINT32) (r)) + (5 * (L_UINT32) (g)) + (L_UINT32) (b) + 4) / 8)) 
#define CalcGrayValue32(r, g, b) ((L_UINT32) (((2 * (L_UINT32) (r)) + (5 * (L_UINT32) (g)) + (L_UINT32) (b) + 4) / 8)) 

For more information, refer to Removing Noise.

DFT Function - Before

DFT Function - Before

DFT Function - After

DFT Function - After

View additional platform support for this DFT function.


Run the DiscreteFourierTransformCommand on an image.

using Leadtools; 
using Leadtools.Codecs; 
using Leadtools.ImageProcessing.Core; 
public void DiscreteFourierTransformCommandExample() 
   // Load an image 
   RasterCodecs codecs = new RasterCodecs(); 
   codecs.ThrowExceptionsOnInvalidImages = true; 
   RasterImage image = codecs.Load(Path.Combine(LEAD_VARS.ImagesDir, "Master.jpg")); 
   // Prepare the command 
   FourierTransformInformation FTArray = new FourierTransformInformation(image); 
   LeadRect rcRange = new LeadRect(0, 0, image.Width - 1, image.Height - 1); 
   DiscreteFourierTransformCommand command = new DiscreteFourierTransformCommand(); 
   command.FourierTransformInformation = FTArray; 
   command.Range = rcRange; 
   command.Flags = DiscreteFourierTransformCommandFlags.DiscreteFourierTransform | 
      DiscreteFourierTransformCommandFlags.Gray | 
      DiscreteFourierTransformCommandFlags.Range | 
      DiscreteFourierTransformCommandFlags.InsideX | 
   //Apply DFT. 
   FourierTransformDisplayCommand disCommand = new FourierTransformDisplayCommand(); 
   disCommand.Flags = FourierTransformDisplayCommandFlags.Log | FourierTransformDisplayCommandFlags.Magnitude; 
   disCommand.FourierTransformInformation = command.FourierTransformInformation; 
   // plot frequency magnitude 
static class LEAD_VARS 
   public const string ImagesDir = @"C:\LEADTOOLS23\Resources\Images"; 

Target Platforms

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Leadtools.ImageProcessing.Core Assembly

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© 1991-2023 LEAD Technologies, Inc. All Rights Reserved.