var c = $('canvas').get(0).getContext('2d');
var simplex = new SimplexNoise();
var t = 0;
function init() {
window.requestAnimationFrame(draw);
}
function draw() {
c.clearRect(0, 0, 600, 300);
c.strokeStyle="blue";
c.moveTo(100,100);
c.lineTo(300,100);
c.stroke();
c.beginPath();
c.lineWidth="3";
c.strokeStyle="black";
c.moveTo(100,100);
c.bezierCurveTo((simplex.noise2D(t,t)+1)*200,(simplex.noise2D(t,t)+1)*200,(simplex.noise2D(t,t)+1)*200,0,300,100);
c.stroke();
c.fillRect(100-5,100-5,10,10);
c.fillRect(200-5,200-5,10,10);
c.fillRect(200-5,0-5,10,10);
c.fillRect(300-5,100-5,10,10);
t+=0.001;
window.requestAnimationFrame(draw);
}
init();
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/simplex-noise/2.4.0/simplex-noise.js"></script>
<canvas width="600" height="300"></canvas>