Bezier curve and canvas

You can use Path.quadTo() or Path.cubicTo() for that. Examples can be found in the SDK Examples (FingerPaint). In your case you would simply need to calculate the middle point and pass then your three points to quadTo()..

Some code for you:

• (x1,y1) and (x3,y3) are your starting and ending points respectively.

• create the paint object only once (e.g. in your constructor)

  Paint paint = new Paint() {
      {
          setStyle(Paint.Style.STROKE);
          setStrokeCap(Paint.Cap.ROUND);
          setStrokeWidth(3.0f);
          setAntiAlias(true);
      }
  };
  
  final Path path = new Path();
  path.moveTo(x1, y1);
  
  final float x2 = (x3 + x1) / 2;
  final float y2 = (y3 + y1) / 2;
  path.quadTo(x2, y2, x3, y3);
  canvas.drawPath(path, paint);
  

With Path you can draw cubic and quadratic bezier curves. See cubicTo() and quadTo()