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Drawing a Bezier curve

If Quadratic curves don't meet your needs, the Bezier curve might do the trick. Also known as cubic curves, the Bezier curve is the most advanced curvature available with the HTML5 canvas API.

Drawing a Bezier curve

How to do it...

Follow these steps to draw an arbitrary Bezier curve:

  1. Define a 2D canvas context and set the curve style:
    window.onload = function(){
        var canvas = document.getElementById("myCanvas");
        var context = canvas.getContext("2d");
      
        context.lineWidth = 10;
        context.strokeStyle = "black"; // line color
        context.moveTo(180, 130);
  2. Position the canvas context and draw the Bezier curve:
    context.bezierCurveTo(150, 10, 420, 10, 420, 180);
        context.stroke();
    };
  3. Embed the canvas tag inside the body of the HTML document:
    <canvas id="myCanvas" width="600" height="250" style="border:1px solid black;">
    </canvas>
    

How it works...

HTML5 canvas Bezier curves are defined by the context point, two control points, and an ending point. The additional control point gives us much more control over its curvature compared to Quadratic curves:

  context.bezierCurveTo(controlPointX1, controlPointY1, 
      controlPointX2, controlPointY2, 
      endingPointX, endingPointY);

Take a look at the following diagram:

How it works...

Unlike Quadratic curves, which are defined by three characteristic tangents, the Bezier curve is defined by five characteristic tangents. The first part of the curve is tangential to an imaginary line that starts with the context point and ends with the first control point. The next part of the curve is tangential to the imaginary line that starts with midpoint 1 and ends with midpoint 3. The peak of the curve is tangential to the imaginary line that starts with midpoint 2 and ends with midpoint 4. The fourth part of the curve is tangential to the imaginary line that starts with midpoint 3 and ends with midpoint 5. Finally, the last part of the curve is tangential to the imaginary line that starts with the second control point and ends with the ending point.

See also...

  • Randomizing shape properties: Drawing a field of flowers in Chapter 2
  • Putting it all together: Drawing a jet in Chapter 2
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