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How to Draw Smooth Curve Through Multiple Points using JavaScript ?

  • Difficulty Level : Medium
  • Last Updated : 26 Mar, 2020

Drawing a smooth curve with the multiple points is a challenging task. There are many algorithms that can help us to draw a curve using particular points. Bezier Curve is the one of the curve drawing technique. There is always lots of discussion around how to draw a smooth curve through the multiple numbers of points using JavaScript. So, we are given to draw a smooth curve through the multiple numbers of points.

For drawing a line we should have a slope of the line. So here we calculate the slope of a line by taking multiple inputs of x and y. For drawing a smooth curve we should have multiple numbers of inputs/points by which we can draw the smooth curve. Here we are trying to get a random number and for which we are trying to draw a smooth curve.

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Here, we give you some ideas about drawing a smooth curve using multiple numbers of points. Please go through this code and we will explain it further.


<!DOCTYPE html>
        Smooth Curve
        #GFG { 
            border: 2px solid black; 
            color: green; 
        <canvas id="GFG"
            width="600" height="400">
        var cv = document.getElementById("GFG");
        var ctx = cv.getContext("2d");
        function gradient(a, b) {
            return (b.y-a.y)/(b.x-a.x);
        function bzCurve(points, f, t) {
            if (typeof(f) == 'undefined') f = 0.3;
            if (typeof(t) == 'undefined') t = 0.6;
            ctx.moveTo(points[0].x, points[0].y);
            var m = 0;
            var dx1 = 0;
            var dy1 = 0;
            var preP = points[0];
            for (var i = 1; i < points.length; i++) {
                var curP = points[i];
                nexP = points[i + 1];
                if (nexP) {
                    m = gradient(preP, nexP);
                    dx2 = (nexP.x - curP.x) * -f;
                    dy2 = dx2 * m * t;
                } else {
                    dx2 = 0;
                    dy2 = 0;
                    preP.x - dx1, preP.y - dy1,
                    curP.x + dx2, curP.y + dy2,
                    curP.x, curP.y
                dx1 = dx2;
                dy1 = dy2;
                preP = curP;
        // Generate random data 
        var lines = [];     
        var X = 10;
        var t = 40; // control the width of X.
        for (var i = 0; i < 100; i++ ) {
            Y = Math.floor((Math.random() * 300) + 50);
            p = { x: X, y: Y };
            X = X + t;
        // Draw smooth line 
        ctx.lineWidth = 2;
        ctx.strokeStyle = "green";
        bzCurve(lines, 0.3, 1);


Explanation: When we run this program, Every time it takes random inputs and this is why it generate a new smooth curve on every execution.

  • Pre-requisite: HTML Canvas Basics
  • Reference for canvas object is stored in variable ‘cv’ using DOM concept.
  • Without having drawing context of canvas nothing can be drawn on it.
     var cv = document.getElementById("GFG");
            var ctx = cv.getContext("2d");
  • Gradient function that return slope of the line.
    function gradient(a, b) {
                return (b.y-a.y)/(b.x-a.x);
  • BeginPath method are used to start or reset the path.
  • MoveTo method are used to move the path to the specified point in the canvas.
            ctx.moveTo(points[0].x, points[0].y);
  • Stroke is used to draw the path you have defined with all those methods.

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