Get Bezier line from points

JsGetBezierPoints

MathUtils = MathUtils || {};

MathUtils.level = function(i) {
	if(i==0) return 1;
	else return i*MathUtils.level(i-1);
}


MathUtils.binCoefficient = function(n, i) {
	return MathUtils.level(n) / ( MathUtils.level(i) * MathUtils.level(n-i) );
}


MathUtils.getBezierPoints = function(points, numSeg) {
	var bezierPoints = [];
	numPoints = points.length;
	var t, tx, ty, tz;
	var bc, pow1, pow2;
	for(var i=0; i<numSeg; i++) {
		t = i/numSeg;	

		tx = ty = tz = 0;
		for(var j=0; j<points.length; j++) {
			bc = MathUtils.binCoefficient(numPoints-1, j);
			pow1 = Math.pow((1-t), numPoints-j-1);
			pow2 = Math.pow(t, j);
			tx += bc * pow1 * pow2 * points[j][0];
			ty += bc * pow1 * pow2 * points[j][1];
			tz += bc * pow1 * pow2 * points[j][2];
		}

		var p = [tx, ty, tz];
		var index = Math.floor(points.length * t);
		if(index == points.length) index = points.length-1;
		p.distance = points[index].distance;
		bezierPoints.push(p);
	}

	return bezierPoints;
}