Apply Coordinate Transformations like Matrix, Global, Local, World Transformation Programmatically in C#

readme.md

You can read all the details at: Apply Matrix, Global, Local, World Coordinate Transformation in C#

Global-Transformation.cs

// Initialize Bitmap class object
Bitmap bitmap = new Bitmap(1000, 800, System.Drawing.Imaging.PixelFormat.Format32bppPArgb);
Graphics graphics = Graphics.FromImage(bitmap);
graphics.Clear(Color.FromKnownColor(KnownColor.Gray));

// Set a transformation that applies to every drawn item:
graphics.RotateTransform(15);

Pen pen = new Pen(Color.FromKnownColor(KnownColor.Blue), 2);
graphics.DrawEllipse(pen, 300, 300, 400, 200);

// Save output image with Glabal transformation
bitmap.Save(dataDir + @"CoordinateSystemsTransformations\GlobalTransformation_out.png");

Local-Transformation.cs

// Initialize Bitmap class object
Bitmap bitmap = new Bitmap(1000, 800, System.Drawing.Imaging.PixelFormat.Format32bppPArgb);
Graphics graphics = Graphics.FromImage(bitmap);
graphics.Clear(Color.FromKnownColor(KnownColor.Gray));

GraphicsPath path = new GraphicsPath();
path.AddEllipse(300, 300, 400, 200);

// Set a transformation that applies to the specific path to be drawn:
Matrix matrix = new Matrix();
matrix.RotateAt(45, new Point(500, 400));
path.Transform(matrix);

Pen pen = new Pen(Color.FromKnownColor(KnownColor.Blue), 2);
graphics.DrawPath(pen, path);

// Save output image with Local transformation
bitmap.Save(dataDir + @"CoordinateSystemsTransformations\LocalTransformation_out.png");

Matrix-Transformation.cs

// Initialize Bitmap class object
Bitmap bitmap = new Bitmap(1000, 800, System.Drawing.Imaging.PixelFormat.Format32bppPArgb);

// Declare Graphics class object
Graphics graphics = Graphics.FromImage(bitmap);
graphics.Clear(Color.FromKnownColor(KnownColor.Gray));

// Initiate Rectangle class object
Rectangle originalRentangle = new Rectangle(300, 300, 300, 200);
TransformPath(graphics, originalRentangle, (matrix) => matrix.Rotate(15.0f));
TransformPath(graphics, originalRentangle, (matrix) => matrix.Translate(-250, -250));
TransformPath(graphics, originalRentangle, (matrix) => matrix.Scale(0.3f, 0.3f));

// Save output image with Matrix transformation
bitmap.Save(dataDir + @"CoordinateSystemsTransformations\MatrixTransformations_out.png");

private static void TransformPath(Graphics graphics, Rectangle originalRentangle, Action<Matrix> transform)
{
    GraphicsPath path = new GraphicsPath();
    path.AddRectangle(originalRentangle);

    Matrix matrix = new Matrix();
    transform(matrix);
    path.Transform(matrix);

    Pen pen = new Pen(Color.FromKnownColor(KnownColor.Blue), 2);
    graphics.DrawPath(pen, path);
}

World-Transformation.cs

// Initialize Bitmap class object
Bitmap bitmap = new Bitmap(1000, 800, System.Drawing.Imaging.PixelFormat.Format32bppPArgb);
Graphics graphics = Graphics.FromImage(bitmap);
graphics.Clear(Color.FromKnownColor(KnownColor.Gray));

// Set the transformation that maps world coordinates to page coordinates:
graphics.TranslateTransform(500, 400);

Pen pen = new Pen(Color.FromKnownColor(KnownColor.Blue), 2);
graphics.DrawRectangle(pen, 0, 0, 300, 200);

// Save output image with World Transformation
bitmap.Save(dataDir + @"CoordinateSystemsTransformations\WorldTransformation_out.png");