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Monday, August 20, 2012

Pretty Fractal Trees using HTML-5 Canvas & Random Numbers

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    Pretty Fractal Trees using HTML-5 Canvas & Random Numbers

    Last week I sat down to see how I can generate a fractal tree on a web page. It turned out to be a very interesting exercise using HTML5 Canvas and simple Math trigonometric functions. Using random numbers for changing the length of the tree branch, and the angle of branch split -- I was quite successful in generating very realistic looking trees!

    Each time you render the HTML, the trees look quite different. I can see how Game creators can create interesting looking forests for "heroes" to travel in using such techniques.

    HTML 5 Canvas with a Fractal Tree





















    Here is the code (also posted on github):

    <html>
    <head>
    <script type="text/javascript">
    window.onload = draw;
    function draw(){
    var canvas = document.getElementById('myCanvas');
    if (canvas.getContext){
    var context = canvas.getContext('2d');
    drawFractalTree(context);
    }
    else{
    alert("HTML5 Canvas isn't supported by your browser!");
    }
    }
    function drawFractalTree(context){
    drawTree(context, 800, 800, -90, 11);
    }
    function drawTree(context, x1, y1, angle, depth){
    var BRANCH_LENGTH = random(0, 20);
    if (depth != 0){
    var x2 = x1 + (cos(angle) * depth * BRANCH_LENGTH);
    var y2 = y1 + (sin(angle) * depth * BRANCH_LENGTH);
    drawLine(context, x1, y1, x2, y2, depth);
    drawTree(context, x2, y2, angle - random(15,20), depth - 1);
    drawTree(context, x2, y2, angle + random(15,20), depth - 1);
    }
    }
    function drawLine(context, x1, y1, x2, y2, thickness){
    context.fillStyle = '#000';
    if(thickness > 6)
    context.strokeStyle = 'rgb(139,126, 102)'; //Brown
    else
    context.strokeStyle = 'rgb(34,139,34)'; //Green
    context.lineWidth = thickness * 1.5;
    context.beginPath();
    context.moveTo(x1,y1);
    context.lineTo(x2, y2);
    context.closePath();
    context.stroke();
    }
    function cos (angle) {
    return Math.cos(deg_to_rad(angle));
    }
    function sin (angle) {
    return Math.sin(deg_to_rad(angle));
    }
    function deg_to_rad(angle){
    return angle*(Math.PI/180.0);
    }
    function random(min, max){
    return min + Math.floor(Math.random()*(max+1-min));
    }
    </script>
    <style type="text/css">
    canvas { border: 1px solid white; }
    </style>
    </head>
    <body>
    <canvas id="myCanvas" width="1500" height="800"></canvas>
    </body>
    </html>
    view raw tree_html5.html hosted with ❤ by GitHub




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