N-degree Bessel curve

 n Recursion formula of subbezier curve ：

var c = document.getElementById("myCanvas");
var ctx = c.getContext("2d");
ctx.translate(10, 10); //  Remap... On canvas  (0,0)  Location , Avoid spillovers 

function drawCircle(x, y, color, r = 6) {
  ctx.fillStyle = color;
  ctx.beginPath();
  ctx.arc(x, y, r, 0, 2 * Math.PI);
  ctx.fill();
}

function drawPath(path) {
  ctx.beginPath();
  path.forEach((p, i) => {
    if (i) {
      ctx.lineTo(p.x, p.y);
    } else {
      ctx.moveTo(p.x, p.y);
    }
  });
  ctx.stroke();
}

function bezier(pointList, t) {
  if (pointList.length === 1) {
    return pointList[0];
  } else {
    // B(t)=(1-t)Bp0p1…pn-1(t) + tBp1p2…pn(t)
    var p1 = bezier(pointList.slice(0, -1), t);
    var p2 = bezier(pointList.slice(1), t);
    var p = {
      x: (1 - t) * p1.x + t * p2.x,
      y: (1 - t) * p1.y + t * p2.y,
    };
    return p;
  }
}

var startPoint = { x: 0, y: 0 };
var endPoint = { x: 900, y: 0 };
var pointList = [
  startPoint,
  //  In the middle is the control point 
  { x: 300, y: 0 },
  { x: 400, y: 100 },
  { x: 600, y: 200 },
  { x: 700, y: 0 },
  endPoint,
];

//  draw a curve 
var path = [];
for (var i = 0; i <= 100; i++) {
  path.push(bezier(pointList, i / 100));
}
drawPath(path);

//  Red start and end points 
[startPoint, endPoint].forEach((p) => {
  drawCircle(p.x, p.y, "red");
});

//  Blue control point 
pointList.slice(1, -1).forEach((p) => {
  drawCircle(p.x, p.y, "blue");
});

Final effect