Why do I see this jagged curves?

Question

I have a canvas and draw curve with this code:

using (Graphics g = Graphics.FromImage(canvas.BackgroundImage))
{
    g.DrawCurve(pen, points);

Answer 1

What you is see is the somewhat unlucky combination of the default for Linejoin, which is Miter and the default for MiterLimit, which is 10.

Instead you have a choice of either picking one of the other LineJoin options or reducing the MiterLimit to say less than half the Pen.Width..

using (Pen myPen = new Pen(Color.Blue, 24f))
{
    // either another LineJoine;
    myPen.LineJoin = System.Drawing.Drawing2D.LineJoin.Round;
    // or a reduced MiterLimit:
    myPen.MiterLimit = 1+ myPen.Width / 5f;
}