Develop Reference

How do I determine the rotation point of a polygon (triangle)?

I would like to draw a thick, transparent arrow with an arrowhead:
Here's the code that draws the arrow shaft. Notice that I have to offset the rectangle so the calculations are done from the midpoint of the rectangle.
private void DrawMovementArrow(bool color, double StartX, double StartY, double EndX, double EndY)
{
SolidColorBrush partiallyTransparentSolidColorBrush;
Rectangle myRectangle = new Rectangle();
// This will be replaced by piece size
int width = 35;
myRectangle.Width = width;
// Apparently necessary to offset the drawing of the path so that the point is in the center of the path; not the edge.
StartX -= width / 2;
EndX -= width / 2;
myRectangle.Height = Map.EuclideanDistance(StartX, StartY, EndX, EndY) ;
int angle = CalculateAngle(StartX , StartY , EndX , EndY );
// This selects the midpoint of edge of the rectangle to rotate around (weird system)
myRectangle.RenderTransformOrigin = new Point(0.5, 0);
angle = angle - 180;
RotateTransform rotateTransform1 = new RotateTransform(angle, 0 , 0 );
myRectangle.RenderTransform = rotateTransform1;
if (color)
partiallyTransparentSolidColorBrush = new SolidColorBrush(Colors.Blue);
else
partiallyTransparentSolidColorBrush = new SolidColorBrush(Colors.Red);
partiallyTransparentSolidColorBrush.Opacity = 0.4;
myRectangle.Fill = partiallyTransparentSolidColorBrush;
MovementCanvas1.Children.Clear();
MovementCanvas1.Children.Add(myRectangle);
Canvas.SetTop(myRectangle, StartY);
Canvas.SetLeft(myRectangle, StartX);
DrawArrowhead(color, EndX, EndY, angle + 90, width);
ShowUnitCenter(MovementArrowList[0]);
}
Note that this code selects a point in the middle of the edge to rotate the rectangle:
// This selects the midpoint of edge of the rectangle to rotate around (weird system)
myRectangle.RenderTransformOrigin = new Point(0.5, 0);
The problem is that I can't find that point with the arrowhead (triangle). Here's the code that draws the arrowhead:
public void DrawArrowhead(bool color, double x, double y, int angle, int width)
{
x += width /2 ;
width = width + (width / 2);
//Add the Polygon Element
Polygon myPolygon = new Polygon();
myPolygon.Opacity = 0.4;
if (color)
{
myPolygon.Fill = new SolidColorBrush(Colors.Blue);
myPolygon.Stroke = System.Windows.Media.Brushes.Blue;
}
else
{
myPolygon.Fill = new SolidColorBrush(Colors.Red);
myPolygon.Stroke = System.Windows.Media.Brushes.Red;
}
myPolygon.StrokeThickness = 0;
RotateTransform rotateTransform1 = new RotateTransform(angle, 0, 0);
myPolygon.RenderTransform = rotateTransform1;
// This selects the midpoint of edge of the triangle to rotate around (weird system)
myPolygon.RenderTransformOrigin = new Point(0.0, 0.5);
System.Windows.Point Point1 = new System.Windows.Point(0, 0);
System.Windows.Point Point2 = new System.Windows.Point(width / 2, width / 2);
System.Windows.Point Point3 = new System.Windows.Point(0,width);
PointCollection myPointCollection = new PointCollection();
myPointCollection.Add(Point1);
myPointCollection.Add(Point2);
myPointCollection.Add(Point3);
myPolygon.Points = myPointCollection;
MovementCanvas1.Children.Add(myPolygon);
Canvas.SetTop(myPolygon, y );
Canvas.SetLeft(myPolygon, x );
}
Note the myPointCollection that creates the triangle. The problem is that I've tried almost every conceivable combination of values in RenderTransformOrigin to find the point that (center bottom of triangle) to use for the rotation point. Nothing seems to be working out.
Can anybody suggest the correct value?
Edit Solved
I solved it by changing the points of the triangle. That was easier than trying to figure out the rotation point.

Changing the points that made up the triangle solved the problem. This was easier than trying to find the rotation point.

How to rotate 2d object in C#

Basically i have a windows form that user will be able to draw different shapes(e.g square, circle and triangle), user will be able to highlight any of these shapes after drawing and then control that highlighted shape by moving or rotating it, i don't know how to rotate the shape. any one can help, this is my code (only to draw a square)
PS: user need to click twice on the form to draw the shape between those 2 points as shown below also i know i should be using onPaint method but this is the requirements of the task
Thanks
public Square(Point keyPt, Point oppPt) // constructor
{
this.keyPt = keyPt;
this.oppPt = oppPt;
}
// You will need a different draw method for each kind of shape. Note the square is drawn
// from first principles. All other shapes should similarly be drawn from first principles.
// Ideally no C# standard library class or method should be used to create, draw or transform a shape
// and instead should utilse user-developed code.
public void draw(Graphics g, Pen blackPen)
{
// This method draws the square by calculating the positions of the other 2 corners
double xDiff, yDiff, xMid, yMid; // range and mid points of x & y
// calculate ranges and mid points
xDiff = oppPt.X - keyPt.X;
yDiff = oppPt.Y - keyPt.Y;
xMid = (oppPt.X + keyPt.X) / 2;
yMid = (oppPt.Y + keyPt.Y) / 2;
// draw square
g.DrawLine(blackPen, (int)keyPt.X, (int)keyPt.Y, (int)(xMid + yDiff / 2), (int)(yMid - xDiff / 2));
g.DrawLine(blackPen, (int)(xMid + yDiff / 2), (int)(yMid - xDiff / 2), (int)oppPt.X, (int)oppPt.Y);
g.DrawLine(blackPen, (int)oppPt.X, (int)oppPt.Y, (int)(xMid - yDiff / 2), (int)(yMid + xDiff / 2));
g.DrawLine(blackPen, (int)(xMid - yDiff / 2), (int)(yMid + xDiff / 2), (int)keyPt.X, (int)keyPt.Y);
}
public void fillSquare(Graphics g, Brush redBrush)
{
float xDiff = oppPt.X - keyPt.X;
float yDiff = oppPt.Y - keyPt.Y;
float xMid = (oppPt.X + keyPt.X) / 2;
float yMid = (oppPt.Y + keyPt.Y) / 2;
var path = new GraphicsPath();
path.AddLines(new PointF[] {
keyPt,
new PointF(xMid + yDiff/2, yMid-xDiff/2),
oppPt
});
path.AddLines(new PointF[] {
keyPt,
new PointF(xMid - yDiff/2, yMid + xDiff/2),
oppPt
});
path.CloseFigure();
// Fill Triangle
g.FillPath(redBrush, path);
}
}
}
i have tried this method but something is missing i don't know what is it
private void itemRotation(PaintEventArgs e)
{
Pen blackpen = new Pen(Color.Black);
Graphics g = e.Graphics;
Font myFont = new System.Drawing.Font("Helvetica", 9);
Brush blackwriter = new SolidBrush(System.Drawing.Color.Black);
if (rotateItem)
{
for (int i = 0; i < shapes.Count; i++)
{
if (shapes[i].Selected)
{
if (shapes[i].ShapeType == (int)ShapeTypes.Square)
{
PointF center = new PointF(shapes[i].keyPt.X + (shapes[i].oppPt.X / 2.0F), shapes[i].keyPt.Y + (shapes[i].oppPt.Y / 2.0F));
shapes[i].keyPt = new Point(shapes[i].keyPt.X, shapes[i].keyPt.Y);
shapes[i].oppPt = new Point(shapes[i].oppPt.X, shapes[i].oppPt.Y);
Matrix myMatrix = new Matrix();
myMatrix.Rotate(30);
g.Transform = myMatrix;
((Square)shapes[i]).draw(g, blackpen);
g.DrawString("2nd pos", myFont, blackwriter, shapes[i].keyPt.X, shapes[i].oppPt.X);
}
}
}
}
}

Below is an example of how to draw the same shape (a GraphicsPath) into various locations and rotations.
The key here is the following two commands
e.Graphics.TranslateTransform(x, y);
e.Graphics.RotateTransform(-angle);
See results below:
and the code used to generate it:
private void pictureBox1_Paint(object sender, PaintEventArgs e)
{
// This code defines a graphics shape using a GraphicsPath
// and draws multiple copies along a grid and with various
// rotation angle angles.
e.Graphics.SmoothingMode=SmoothingMode.AntiAlias;
var target = sender as PictureBox;
// Step 1 - Define a rectangle 20 by 12 pixels, center at origin.
var gp = new GraphicsPath();
gp.AddLines(new PointF[] {
new PointF(-10, -6),
new PointF( 10, -6),
new PointF( 10, 6),
new PointF(-10, 6) });
gp.CloseFigure();
// Step 2 - Define a 10×9 grid with two loops
float angle = 0;
for (int i = 0; i<9; i++)
{
// divide the control height into 10 divisions
float y = (i+1)*target.Height/10;
for (int j = 0; j<10; j++)
{
// divide the control width into 11 divisions
float x = (j+1)*target.Width/11;
// Save the default transformation state
var state = e.Graphics.Save();
// Traslate the origin to (x,y), each grid point
e.Graphics.TranslateTransform(x, y);
// Rotate shape by an angle (negative = CCW)
e.Graphics.RotateTransform(-angle);
// Draw the shape
e.Graphics.FillPath(Brushes.LightSeaGreen, gp);
e.Graphics.DrawPath(Pens.Black, gp);
// Restore the default transformation state
e.Graphics.Restore(state);
// Increment the angle by one degree.
// The idea is to show all 90 degrees of rotation in a 10×9 grid.
angle++;
}
}
}

Set the transparency of a circle on a bitmap

I'm trying to set the transparency of a circle on a bitmap in C# .NET Winforms. I tried doing it using Graphics.DrawEllipse like this:
private void setCircleAlpha(int alpha, ref Bitmap b, ColumnVector2 pos, int diameter)
{
Graphics g = Graphics.FromImage(b);
SolidBrush sb = new SolidBrush(Color.FromArgb(0, 0, 0, 0));
g.FillEllipse(sb, pos.X, pos.Y, diameter, diameter);
}
but that does not do what I want as it draws a transparent circle over the image instead of setting the transparency of that circle.
I have resorted to using this extremely slow code:
private void setCircleAlpha(int alpha, ref Bitmap b, ColumnVector2 pos, int diameter)
{
//Calculate the square root of the radius
float radius = diameter / 2;
float sqRadius = radius * radius;
//Calculate the centre of the circle
ColumnVector2 centre = pos + new ColumnVector2(radius, radius);
for (int x = (int)pos.X; x < pos.X + diameter; x++)
{
for (int y = (int)pos.Y; y < pos.Y + diameter; y++)
{
//Calculate the distance between the centre of the circle and the point being tested
ColumnVector2 vec = new ColumnVector2(x, y) - centre;
//If the distance between a point and the centre of a circle is less than the radius of that circle then that point is in the circle.
//Calculate distance using pythagoras (a^2 + b^2 = c^2)
//Square both the distance and radius to eliminate need for square root
float sqDist = (vec.X * vec.X) + (vec.Y * vec.Y);
if (sqDist < sqRadius)
{
b.SetPixel(x, y, Color.FromArgb(alpha, b.GetPixel(x, y)));
}
}
}
}
My question is: Is there a better/faster way to do this?
Please note that I'm not asking for faster circle generation algorithms, rather I am asking for alternative graphics options.

Using Hans Passant's comment I got this working:
private void setCircleAlpha(int alpha, ref Bitmap b, ColumnVector2 pos, int diameter)
{
Graphics g = Graphics.FromImage(b);
g.CompositingMode = System.Drawing.Drawing2D.CompositingMode.SourceCopy;
SolidBrush sb = new SolidBrush(Color.FromArgb(alpha, 0, 0, 0));
g.FillEllipse(sb, pos.X, pos.Y, diameter, diameter);
}

How to increase the height of curve in windows forms

I want to increase the height of the curve but its left and right position should remain same. Just want to lift up from center to give it a shape like curve as height changes.
Pen blackPen = new Pen(Color.Black, 3);
// Create coordinates of rectangle to bound ellipse.
int x = 93;
int y = 136;
int width = 320;
int height = 50;
// Create start and sweep angles on ellipse.
int startAngle = 0;
int sweepAngle = -180;
// Draw arc to screen.
e.Graphics.DrawArc(blackPen, x, y, width, height, startAngle, sweepAngle);

In the most direct way your problem can be solved like this:
int change = 0;
e.Graphics.DrawArc(blackPen, x, y-change, width, height+change, startAngle, sweepAngle);
By increasing the variable change the ellipse will curve up more and more:
private void button1_Click(object sender, EventArgs e)
{
change += 10;
panel1.Invalidate();
}
But maybe you want more control over the shape? Let's have a look at the options:
Here are examples of the three 'curve' drawing methods:
Curves, Beziers & Ellipses
And here is the code to draw that image.
Please ignore the Graphics.xxxTransform calls! They only are meant to shift the curves a little bit upwards so they don't overlap too much to see them properly.
Also note that the curves in the first image are not completely convex. See the last part of the answer to see a DrawCurve call that avoids the concave segments!
The important part are the Points! And just as the comments suggest, in the third part the ellipses are being changed by making the height larger and moving the top of the Rectangle up by the same amount.
The complexity DrawArc of and DrawCurve is pretty much equal; both are controlled by four integers with a rather clear meaning: They either make one rectangle or the corners of a symmetrical triangle. (Plus one counterpoint for the convex call.)
DrawBezier is more complex, especially since the controls point(s) are not actually on the resulting curve. They can be thought of force vectors that pull the line into a curved shape and are harder to calculate.
private void panel1_Paint(object sender, PaintEventArgs e)
{
Point a = new Point(0, 200);
Point c = new Point(200, 200);
for (int i = 0; i< 10; i++)
{
e.Graphics.TranslateTransform(0, -5);
Point b = new Point(100, 50 + i * 10);
e.Graphics.DrawCurve(Pens.Maroon, new[] { a, b, c }, 0.7f);
}
e.Graphics.ResetTransform();
Point pa = new Point(250, 200);
Point pb = new Point(450, 200);
for (int i = 0; i < 10; i++)
{
e.Graphics.TranslateTransform(0, -5);
Point pc = new Point(350, 200 - i * 10);
e.Graphics.DrawBezier(Pens.ForestGreen, pa, pc, pc, pb);
}
e.Graphics.ResetTransform();
int x = 500;
int y0 = 200;
int w = 200;
for (int i = 0; i < 10; i++)
{
e.Graphics.TranslateTransform(0, -5);
Rectangle rect = new Rectangle(x, y0 - i * 10, w, 10 + i * 10);
e.Graphics.DrawArc(Pens.DarkBlue, rect, -0, -180);
}
e.Graphics.ResetTransform();
}
Notes:
The Curve (1st image) can be further controlled by the Tension parameter. The lower the tension the more pointed it gets, approaching 1f it makes the curve broader..
The Bezier curve (2nd image) is using only one control point. (Twice.) The curve gets a little pointed this way. You can make it broader and broader by using two different points the move apart little by little..
The Ellipse can't be controlled; it will always fill the bounding Rectangle.
Here is an example of varying the Curves and the Beziers:
The Curves are drawn with varying Tensions. Also I have used an overload that helps to get rid of the concave part at the start and end of the curve. The trick is to add a suitable extra point to the start and end and to tell the DrawCurve to leave out these 1st and last segments.
The simplest point to use (for both ends actually) is the counterpoint of the one at the top.
The Beziers are drawn using two control points, moving out and up a little.
Here is the code for the variations:
Point a = new Point(0, 200);
Point c = new Point(200, 200);
for (int i = 1; i < 10; i++)
{
e.Graphics.TranslateTransform(0, -5);
Point b = new Point(100, 50);
Point b0 = new Point(b.X, a.Y + (a.Y - b.Y));
e.Graphics.DrawCurve(Pens.Maroon, new[] { b0, a, b, c, b0 }, 1, 2, 0.1f * i);
}
e.Graphics.ResetTransform();
Point pa = new Point(250, 200);
Point pb = new Point(450, 200);
for (int i = 0; i < 10; i++)
{
e.Graphics.TranslateTransform(0, -5);
Point ca = new Point(350 - i * 9, 100 - i * 5);
Point cb = new Point(350 + i * 9, 100 - i * 5);
e.Graphics.DrawBezier(Pens.ForestGreen, pa, ca, cb, pb);
}
e.Graphics.ResetTransform();

here was the solution just increase value of y0 as u increase the value of
y0-i here i=20
int x = 96;
int y0 = 260;
int w = 320;
e.Graphics.TranslateTransform(0, -5);
Rectangle rect = new Rectangle(x, y0 - 20 * 10, w, 10 + 20 * 10);
e.Graphics.DrawArc(Pens.DarkBlue, rect, -0, -180);
e.Graphics.ResetTransform();

Align text to center in System.Drawing.RectangleF

I am trying to create a captcha image. I am generating a random string and rotating the text with a random angle and trying to create a byte array. Below is my code snippet:
Image img = Image.FromFile(#"C:\Images\BackGround.jpg");
RectangleF myRect = new RectangleF(0, 0, width, height);
objGraphics.DrawImage(img, myRect);
Matrix myMatrix = new Matrix();
int i = 0;
StringFormat formatter = new StringFormat();
formatter.Alignment = StringAlignment.Center;
for (i = 0; i <= myString.Length - 1; i++)
{
myMatrix.Reset();
int charLenght = myString.Length;
float x = width / (charLenght + 1) * i;
float y = height / 30F;
myMatrix.RotateAt(oRandom.Next(-40, 40), new PointF(x, y));
objGraphics.Transform = myMatrix;
objGraphics.DrawString(myString.Substring(i, 1), MyFont, MyFontEmSizes, MyFontStyles,
MySolidBrush, x, Math.Max(width, height) / 50, formatter );
objGraphics.ResetTransform();
}
Every thing is working fine, except that, the first character in my final image on the web page is crossing my left border of the rectangle. How can I align my text to the center of the rectangle?
Thanks.