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AForge.NET/ComplexImage.cs at master · andrewkirillov/AForge.NET · GitHub
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// http://www.aforgenet.com/framework/
// Copyright © Andrew Kirillov, 2005-2009
using System . Drawing . Imaging ;
/// < remarks >< para >The class is used to keep image represented in complex numbers sutable for Fourier
/// ComplexImage complexImage = ComplexImage.FromBitmap( image );
/// // do forward Fourier transformation
/// complexImage.ForwardFourierTransform( );
/// Bitmap fourierImage = complexImage.ToBitmap( );
/// < para >< b >Initial image:
/// < img src = " img/imaging/sample3.jpg " width = " 256 " height = " 256 " />
/// < para >< b >Fourier image:
/// < img src = " img/imaging/fourier.jpg " width = " 256 " height = " 256 " />
public class ComplexImage : ICloneable
// current state of the image (transformed with Fourier ot not)
private bool fourierTransformed = false ;
/// Status of the image - Fourier transformed or not.
get { return fourierTransformed ; }
/// < remarks >Return's 2D array of [< b >height, < b >width] size, which keeps image's
/// Initializes a new instance of the < see cref = " ComplexImage " /> class.
/// < param name = " width " >Image width.
/// < param name = " height " >Image height.
/// < remarks >The constractor is protected, what makes it imposible to instantiate this
/// class directly. To create an instance of this class < see cref = " FromBitmap(Bitmap) " /> or
/// < see cref = " FromBitmap(BitmapData) " /> method should be used.
protected ComplexImage ( int width , int height )
this . data = new Complex [ height , width ];
this . fourierTransformed = false ;
/// < returns >Returns copy of the complex image.
ComplexImage dstImage = new ComplexImage ( width , height );
Complex [,] data = dstImage . data ;
for ( int i = 0 ; i < height ; i ++ )
for ( int j = 0 ; j < width ; j ++ )
data [ i , j ] = this . data [ i , j ];
dstImage . fourierTransformed = fourierTransformed ;
/// Create complex image from grayscale bitmap.
/// < param name = " image " >Source grayscale bitmap (8 bpp indexed).
/// < returns >Returns an instance of complex image.
/// < exception cref = " UnsupportedImageFormatException " >The source image has incorrect pixel format.
/// < exception cref = " InvalidImagePropertiesException " >Image width and height should be power of 2.
public static ComplexImage FromBitmap ( Bitmap image )
if ( image . PixelFormat != PixelFormat . Format8bppIndexed )
throw new UnsupportedImageFormatException ( " Source image can be graysclae (8bpp indexed) image only. " );
BitmapData imageData = image . LockBits (
new Rectangle ( 0 , 0 , image . Width , image . Height ),
ImageLockMode . ReadOnly , PixelFormat . Format8bppIndexed );
complexImage = FromBitmap ( imageData );
/// Create complex image from grayscale bitmap.
/// < param name = " imageData " >Source image data (8 bpp indexed).
/// < returns >Returns an instance of complex image.
/// < exception cref = " UnsupportedImageFormatException " >The source image has incorrect pixel format.
/// < exception cref = " InvalidImagePropertiesException " >Image width and height should be power of 2.
public static ComplexImage FromBitmap ( BitmapData imageData )
if ( imageData . PixelFormat != PixelFormat . Format8bppIndexed )
throw new UnsupportedImageFormatException ( " Source image can be graysclae (8bpp indexed) image only. " );
int height = imageData . Height ;
int offset = imageData . Stride - width ;
if ( ( ! Tools . IsPowerOf2 ( width ) ) || ( ! Tools . IsPowerOf2 ( height ) ) )
throw new InvalidImagePropertiesException ( " Image width and height should be power of 2. " );
ComplexImage complexImage = new ComplexImage ( width , height );
Complex [,] data = complexImage . data ;
byte * src = ( byte * ) imageData . Scan0 . ToPointer ( );
for ( int y = 0 ; y < height ; y ++ )
for ( int x = 0 ; x < width ; x ++ , src ++ )
data [ y , x ]. Re = ( float ) * src / 255 ;
/// Convert complex image to bitmap.
/// < returns >Returns grayscale bitmap.
Bitmap dstImage = AForge . Imaging . Image . CreateGrayscaleImage ( width , height );
BitmapData dstData = dstImage . LockBits (
new Rectangle ( 0 , 0 , width , height ),
ImageLockMode . ReadWrite , PixelFormat . Format8bppIndexed );
int offset = dstData . Stride - width ;
double scale = ( fourierTransformed ) ? Math . Sqrt ( width * height ) : 1 ;
byte * dst = ( byte * ) dstData . Scan0 . ToPointer ( );
for ( int y = 0 ; y < height ; y ++ )
for ( int x = 0 ; x < width ; x ++ , dst ++ )
* dst = ( byte ) System . Math . Max ( 0 , System . Math . Min ( 255 , data [ y , x ]. Magnitude * scale * 255 ) );
/// Applies forward fast Fourier transformation to the complex image.
public void ForwardFourierTransform ( )
for ( int y = 0 ; y < height ; y ++ )
for ( int x = 0 ; x < width ; x ++ )
if ( ( ( x + y ) & 0x1 ) != 0 )
FourierTransform . FFT2 ( data , FourierTransform . Direction . Forward );
/// Applies backward fast Fourier transformation to the complex image.
public void BackwardFourierTransform ( )
FourierTransform . FFT2 ( data , FourierTransform . Direction . Backward );
for ( int y = 0 ; y < height ; y ++ )
for ( int x = 0 ; x < width ; x ++ )
if ( ( ( x + y ) & 0x1 ) != 0 )
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