// Backward Fourier transformation
private void backwardFourierItem_Click(object sender, System.EventArgs e)
{
ComplexImage cimg = (ComplexImage)image.Clone( );
cimg.BackwardFourierTransform( );
host.NewDocument(cimg.ToBitmap( ));
}
public void Apply(ComplexImage complexImage)
{
if (!complexImage.FourierTransformed)
{
throw new ArgumentException("The source complex image should be Fourier transformed.");
}
int width = complexImage.Width;
int height = complexImage.Height;
int num = width >> 1;
int num2 = height >> 1;
int min = frequencyRange.Min;
int max = frequencyRange.Max;
Complex[,] data = complexImage.Data;
for (int i = 0; i < height; i++)
{
int num3 = i - num2;
for (int j = 0; j < width; j++)
{
int num4 = j - num;
int num5 = (int)System.Math.Sqrt(num4 * num4 + num3 * num3);
if (num5 > max || num5 < min)
{
data[i, j].Re = 0.0;
data[i, j].Im = 0.0;
}
}
}
}
public static BitmapImage FromFourierToPhase(this ComplexImage complexImage, string fileName)
{
Bitmap bitmap = new Bitmap(fileName).ScaleToPowerBy2();
for (int i = 0; i < complexImage.Height; i++)
{
for (int j = 0; j < complexImage.Width; j++)
{
double phase = complexImage.Data[i, j].Phase; //Bierzemy faze w radianach czyli od -PI(-3.14) do +PI(3.14)
phase = phase + Math.PI; //Dodajemy PI żeby zakres był od PI do 2Pi
bitmap.SetPixel(j, i, ColorLerp(Color.White, Color.Black, (float)(phase / (2 * Math.PI))));
}
}
using (var memory = new MemoryStream())
{
bitmap.Save(memory, ImageFormat.Png);
memory.Position = 0;
var bitmapImage = new BitmapImage();
bitmapImage.BeginInit();
bitmapImage.StreamSource = memory;
bitmapImage.CacheOption = BitmapCacheOption.OnLoad;
bitmapImage.EndInit();
bitmapImage.Freeze();
return(bitmapImage);
}
}
public Bitmap ImagenCompleja()
{
cimage = ComplexImage.FromBitmap(imagen);
cimage.ForwardFourierTransform();
imagen = cimage.ToBitmap();
return(imagen);
}
public void Apply(ComplexImage complexImage)
{
if (!complexImage.FourierTransformed)
{
throw new ArgumentException("The source complex image should be Fourier transformed.");
}
int width = complexImage.Width;
int height = complexImage.Height;
int num3 = width >> 1;
int num4 = height >> 1;
int min = this.frequencyRange.Min;
int max = this.frequencyRange.Max;
Complex[,] data = complexImage.Data;
for (int i = 0; i < height; i++)
{
int num8 = i - num4;
for (int j = 0; j < width; j++)
{
int num10 = j - num3;
int num11 = (int)Math.Sqrt((double)((num10 * num10) + (num8 * num8)));
if ((num11 > max) || (num11 < min))
{
data[i, j].Re = 0.0;
data[i, j].Im = 0.0;
}
}
}
}
public static Bitmap ToBitmapPhase(ComplexImage complexImage, int width)
{
// create new image
Bitmap dstImage = AForge.Imaging.Image.CreateGrayscaleImage(width, width);
// lock destination bitmap data
BitmapData dstData = dstImage.LockBits(
new Rectangle(0, 0, width, width),
ImageLockMode.ReadWrite, PixelFormat.Format8bppIndexed);
int offset = dstData.Stride - width;
double scale = Math.Sqrt(width * width);
// do the job
unsafe
{
byte *dst = (byte *)dstData.Scan0.ToPointer();
for (int y = 0; y < width; y++)
{
for (int x = 0; x < width; x++, dst++)
{
*dst = (byte)Math.Max(0, Math.Min(255, complexImage.Data[y, x].Phase * scale * 255));
}
dst += offset;
}
}
// unlock destination images
dstImage.UnlockBits(dstData);
return(dstImage);
}
public void Apply(ComplexImage inFreqz, ComplexImage outFreqz)
{
Debug.Assert(inFreqz.Width == outFreqz.Width);
Debug.Assert(inFreqz.Height == outFreqz.Height);
outFreqz.C0 = inFreqz.C0 * C0;
outFreqz.C1 = inFreqz.C1 * C1;
outFreqz.C2 = inFreqz.C2 * C2;
}
public static BitmapImage FastFourierTransform(BitmapImage image, out ComplexImage complexImage)
{
Bitmap bitmap = image.ToBitmap().ScaleToPowerBy2().ToGrayScale();
complexImage = ComplexImage.FromBitmap(bitmap);
complexImage.ForwardFourierTransform();
return(complexImage.ToBitmapImage());
}
public Bitmap GetBackwardFourierTransform()
{
ComplexImage copy = _complexImage;
copy.BackwardFourierTransform();
Bitmap fourierImage = copy.ToBitmap();
return(fourierImage);
}
// Undo filter
private void undoFourierItem_Click(object sender, System.EventArgs e)
{
if (backup != null)
{
image = backup;
backup = null;
UpdateNewImage( );
}
}
public Bitmap GetBackFTT()
{
ComplexImage copy = _image;
copy.BackwardFourierTransform();
Bitmap bitmap = copy.ToBitmap();
return(bitmap);
}
public Bitmap GetForwardFFT()
{
ComplexImage copy = _image;
copy.ForwardFourierTransform();
Bitmap bitmap = copy.ToBitmap();
return(bitmap);
}
public void DecodeTest()
{
string image = "123456789012";
var data = UtilsDay8.StringToIntArray(image);
var img = new ComplexImage(3, 2, data);
Assert.Equal(new int[] { 1, 2, 3 }, img.Data[0][0]);
Assert.Equal(new int[] { 4, 5, 6 }, img.Data[0][1]);
Assert.Equal(new int[] { 7, 8, 9 }, img.Data[1][0]);
Assert.Equal(new int[] { 0, 1, 2 }, img.Data[1][1]);
}
public static BitmapImage MakeFFTMagnitude(Bitmap image)
{
Grayscale filter = new Grayscale(0.2125, 0.7154, 0.0721);
Bitmap grayImage = filter.Apply(image);
ComplexImage compleximage = ComplexImage.FromBitmap(grayImage);
compleximage.ForwardFourierTransform();
Bitmap fi = compleximage.ToBitmap();
return(ToBitmapImage(fi));
}
public static Bitmap BFT(Bitmap inputImage)
{
System.Drawing.Image sizeImage = new Bitmap(inputImage, 512, 512);
//inputImage.Dispose();
inputImage = (Bitmap)(sizeImage);
inputImage = ColorToGrayscale(inputImage);
ComplexImage finalImg = ComplexImage.FromBitmap(inputImage);
finalImg.BackwardFourierTransform();
//var data = finalImg.Data;
return(finalImg.ToBitmap());
}
// Create new document for ComplexImage
public bool NewDocument(ComplexImage image)
{
unNamedNumber++;
FourierDoc imgDoc = new FourierDoc(image, (IDocumentsHost)this);
imgDoc.Text = "Image " + unNamedNumber.ToString();
imgDoc.Show(dockManager);
imgDoc.Focus();
return(true);
}
private void Button4_Click(object sender, EventArgs e)
{
//var bit8 = new Bitmap(curBitmap.Width, curBitmap.Height, PixelFormat.Format8bppIndexed);
var bit8 = Tool.RgbToGrayScale(curBitmap);
orignal8 = bit8;
ComplexImage complexImage = ComplexImage.FromBitmap(bit8);
// 进行正向傅立叶变换，即将图像从空间域向频率域转换
complexImage.ForwardFourierTransform();
curBitmap = complexImage.ToBitmap();
Invalidate();
}
private void FFTfilter(object sender, EventArgs e)
{
ComplexImage complexImage = ComplexImage.FromBitmap(orignal8);
complexImage.ForwardFourierTransform();
//通过频率范围创建过滤器
AForge.Imaging.ComplexFilters.FrequencyFilter filter = new AForge.Imaging.ComplexFilters.FrequencyFilter(new IntRange(10, 100));
// 频率过滤
filter.Apply(complexImage);
//逆向频率域操作
complexImage.BackwardFourierTransform();
curBitmap = complexImage.ToBitmap();
Invalidate();
}
public override void Load()
{
if (Fetched)
{
return;
}
var images = DoFetchImages(FileNames);
_fft = Fourier.FFT2(Images[0], false);
ViewColumns = 9;
ViewRows = 9;
Images = images;
Rearrange(0, 0, 300, 150, 9);
}
// Frequency filter
private void frequencyFilterFourierItem_Click(object sender, System.EventArgs e)
{
FrequencyFilter form = new FrequencyFilter( );
form.InputRange = new IntRange(0, width >> 1);
form.OutputRange = new IntRange(0, width >> 1);
if (form.ShowDialog( ) == DialogResult.OK)
{
backup = (ComplexImage)image.Clone( );
image.FrequencyFilter(form.OutputRange);
UpdateNewImage( );
}
}
public static Bitmap GetCoreImage(Bitmap initialImage, Filter filter)
{
var g = ComplexImage.FromBitmap(initialImage);
var core = filter != Filter.Predict ? WienerFilter.GetCore(g, filter) : WienerPredictFilter.Core;
var h = GetComplexImageFromMatrix(core);
for (int i = 0; i < h.Height; i++)
{
for (int j = 0; j < h.Width; j++)
{
h.Data[i, j] *= 255;
}
}
return(h.ToBitmap());
}
internal static void Rotate(ComplexImage f)
{
for (int i = 0; i < f.Height / 2; i++)
{
for (int j = 0; j < f.Width / 2; j++)
{
var t = f.Data[i, j];
f.Data[i, j] = f.Data[i + f.Height / 2, j + f.Width / 2];
f.Data[i + f.Height / 2, j + f.Width / 2] = t;
t = f.Data[i + f.Height / 2, j];
f.Data[i + f.Height / 2, j] = f.Data[i, j + f.Width / 2];
f.Data[i, j + f.Width / 2] = t;
}
}
}
public DeblurFilter(ComplexImage refFreqz, ComplexImage blurFreqz)
{
if (refFreqz == null ||
blurFreqz == null)
{
throw new ArgumentNullException(blurFreqz == null ? "blurred" : "sharp");
}
if (!Equals(refFreqz.Width, refFreqz.Height, blurFreqz.Width, blurFreqz.Height))
{
throw new ArgumentException("Bitmaps not in the same size.");
}
C0 = refFreqz.C0.DivideBy(blurFreqz.C0, Preferences.DIVIDE_BY_ZERO_EPSILON);
C1 = refFreqz.C1.DivideBy(blurFreqz.C1, Preferences.DIVIDE_BY_ZERO_EPSILON);
C2 = refFreqz.C2.DivideBy(blurFreqz.C2, Preferences.DIVIDE_BY_ZERO_EPSILON);
}
public static Bitmap Filter(Bitmap initialImage, ImageHelper.Filter filter)
{
var g = ComplexImage.FromBitmap(initialImage);
var h = ImageHelper.GetComplexImageFromMatrix(GetCore(g, filter));
var snr = ImageHelper.GetSNR(g.Data);
var G = ImageHelper.GetComplexImageFromMatrix(ImageHelper.FFT2(ImageHelper.ToVector(g.Data)));
var H = ImageHelper.GetComplexImageFromMatrix(ImageHelper.FFT2(ImageHelper.ToVector(h.Data)));
var F = GetF(H, G, 0.035);
var f = ImageHelper.GetComplexImageFromMatrix(ImageHelper.BFT2(ImageHelper.ToVector(F.Data)));
ImageHelper.Rotate(f);
return(f.ToBitmap());
}
public static ComplexImage GetF(ComplexImage H, ComplexImage G, Complex snr)
{
var bitmap = new Bitmap(G.Width, G.Height);
var bitmap8bpp = bitmap.ConvertTo8bpp();
bitmap8bpp.ConvertColor8bppToGrayscale8bpp();
var complexImage = ComplexImage.FromBitmap(bitmap8bpp);
for (int i = 0; i < G.Height; i++)
{
for (int j = 0; j < G.Width; j++)
{
complexImage.Data[i, j] = ((1 / H.Data[i, j]) * (Math.Pow(Complex.Abs(H.Data[i, j]), 2)
/ (Math.Pow(Complex.Abs(H.Data[i, j]), 2) + snr))) * G.Data[i, j];
}
}
return(complexImage);
}
private static BitmapImage ToBitmapImage(this ComplexImage complexImage)
{
Bitmap bitmap = complexImage.ToBitmap();
using (var memory = new MemoryStream())
{
bitmap.Save(memory, ImageFormat.Png);
memory.Position = 0;
var bitmapImage = new BitmapImage();
bitmapImage.BeginInit();
bitmapImage.StreamSource = memory;
bitmapImage.CacheOption = BitmapCacheOption.OnLoad;
bitmapImage.EndInit();
bitmapImage.Freeze();
return(bitmapImage);
}
}
public static ComplexImage GetComplexImageFromMatrix(double[,] core)
{
var bitmap = new Bitmap(core.GetLength(1), core.GetLength(0));
var bitmap8bpp = bitmap.ConvertTo8bpp();
bitmap8bpp.ConvertColor8bppToGrayscale8bpp();
var complexImage = ComplexImage.FromBitmap(bitmap8bpp);
for (int i = 0; i < complexImage.Height; i++)
{
for (int j = 0; j < complexImage.Width; j++)
{
complexImage.Data[i, j] = core[i, j];
}
}
return(complexImage);
}
/// <summary>
/// Apply filter to complex image.
/// </summary>
///
/// <param name="complexImage">Complex image to apply filter to.</param>
///
/// <exception cref="ArgumentException">The source complex image should be Fourier transformed.</exception>
///
public void Apply(ComplexImage complexImage)
{
if (!complexImage.FourierTransformed)
{
throw new ArgumentException("The source complex image should be Fourier transformed.");
}
// get image dimenstion
var width = complexImage.Width;
var height = complexImage.Height;
// half of dimensions
var hw = width >> 1;
var hh = height >> 1;
// min and max frequencies
var min = frequencyRange.Min;
var max = frequencyRange.Max;
// complex data to process
var data = complexImage.Data;
// process all data
for (var i = 0; i < height; i++)
{
var y = i - hh;
for (var j = 0; j < width; j++)
{
var x = j - hw;
var d = (int)System.Math.Sqrt(x * x + y * y);
// filter values outside the range
if ((d > max) || (d < min))
{
data[i, j].Re = 0;
data[i, j].Im = 0;
}
}
}
}
public static void TestFFT()
{
var bmp = (System.Drawing.Bitmap)System.Drawing.Bitmap.FromFile(FFT_sampleImgName);
var image = bmp.ToImage <Gray, byte>().Convert <Complex, float>();
ComplexImage cuIm = ComplexImage.FromBitmap(bmp);
measure(() =>
{
image.FFT(FourierTransform.Direction.Forward);
image.FFT(FourierTransform.Direction.Backward);
},
() =>
{
cuIm.ForwardFourierTransform();
cuIm.BackwardFourierTransform();
},
100,
"Image<,> FFT",
"AForge FFT");
}
private void SpectraWorker_DoWork(object sender, DoWorkEventArgs e)
{
if (input.Width != input.Height)
{
throw new System.ApplicationException(
"The image height and width must be the same.");
}
SpectraWorker.ReportProgress(0, "Computing spectra");
// The AForge FFT requires an 8 bits per pixel input format.
Bitmap gray_8bpp
= AForge.Imaging.Filters.Grayscale.CommonAlgorithms.Y.Apply(input);
AForge.Imaging.ComplexImage fft
= ComplexImage.FromBitmap(gray_8bpp);
fft.ForwardFourierTransform();
SpectraWorker.ReportProgress(100, "Fourier Spectra Calculated.");
fourier = fft.ToBitmap();
}
/// <summary>
/// Apply filter to complex image.
/// </summary>
///
/// <param name="complexImage">Complex image to apply filter to.</param>
///
/// <exception cref="ArgumentException">The source complex image should be Fourier transformed.</exception>
///
public void Apply(ComplexImage complexImage)
{
if (!complexImage.FourierTransformed)
{
throw new ArgumentException("The source complex image should be Fourier transformed.");
}
// get image dimenstion
int width = complexImage.Width;
int height = complexImage.Height;
// half of dimensions
int hw = width >> 1;
int hh = height >> 1;
// min and max frequencies
int min = frequencyRange.Min;
int max = frequencyRange.Max;
// complex data to process
Complex[,] data = complexImage.Data;
// process all data
for (int i = 0; i < height; i++)
{
int y = i - hh;
for (int j = 0; j < width; j++)
{
int x = j - hw;
int d = (int)Math.Sqrt(x * x + y * y);
// filter values outside the range
if ((d > max) || (d < min))
{
data[i, j] = Complex.Zero;
}
}
}
}