bezier.cs

private PointCollection GetBezierPoints(PointCollection pts, double tension) {
 PointCollection ret = new PointCollection();

 for (int i = 0; i < pts.Count; i++) {
  // for first point append as is.
  if (i == 0) {
   ret.Add(pts[0]);
   continue;
  }

  // for each point except first and last get B1, B2. next point.
  // Last point do not have a next point.
  ret.Add(GetB1(pts, i - 1, tension));
  ret.Add(GetB2(pts, i - 1, tension));
  ret.Add(pts[i]);
 }

 return ret;
}

// To use the PointCollection returned from GetBezierPoints method in Silverlight, we need to build a Path with BezierSegments in it.
private PathFigure GetBezierSegments(PointCollection pts, double tension) {
 PathFigure ret = new PathFigure();
 ret.Segments.Clear();
 ret.IsClosed = false;

 var bzPoints = GetBezierPoints(_projectedPoints, tension);

 // First point is the starting point.
 ret.StartPoint = bzPoints[0];

 for (int i = 1; i < bzPoints.Count; i += 3) {
  ret.Segments.Add(new BezierSegment() {
   Point1 = bzPoints[i], // B1 control point.
    Point2 = bzPoints[i + 1], // B2 control point.
    Point3 = bzPoints[i + 2] // P2 start / end point.
  });
 }

 return ret;
}

// And use this PathFigure in the MapBezier as:
// Create a new PathGeometry.
var pGeo = new PathGeometry();

// Add the Bezier PathFigure to the PathGeometry.
pGeo.Figures.Add(GetBezierSegments(_projectedPoints, Tension));

// Set data of the Path to the created PathGeometry.
((Path) EncapsulatedShape).Data = pGeo;