Resizing canvas preserving antialiasing

<!DOCTYPE HTML>
<html>
<head>
    <meta http-equiv="content-type" content="text/html; charset=UTF-8">
    <style>
        canvas{
            border: silver 1px solid;
        }
    </style>
</head>
<body>

// Modified from https://stackoverflow.com/a/17862644/537080
    function cloneCanvasNoAliasing(oldCanvas, _w, _h) {
        var w = _w || oldCanvas.width;
        var h = _h || oldCanvas.height;
        var newCanvas = document.createElement('canvas');
        var context = newCanvas.getContext('2d');
        newCanvas.width = w;
        newCanvas.height = h;
        context.drawImage(oldCanvas, 0, 0, oldCanvas.width, oldCanvas.height, 0, 0, w, h);
        return newCanvas;
    }

function cloneCanvas(oldCanvas, _w, _h) {
        var w = _w || oldCanvas.width;
        var h = _h || oldCanvas.height;
        var offlineCanvas = document.createElement('canvas');
        offlineCanvas.width  = oldCanvas.width;
        offlineCanvas.height = oldCanvas.height;
        var offlineCanvasCtx = offlineCanvas.getContext('2d');
        offlineCanvasCtx.fillStyle = 'white';
        offlineCanvasCtx.fillRect(0, 0, oldCanvas.width, oldCanvas.height);

offlineCanvasCtx.drawImage(oldCanvas, 0, 0, offlineCanvas.width, offlineCanvas.height);

var divisionCountW = Math.round(Math.log(oldCanvas.width/w)/Math.log(2));
        var divisionCountH = Math.round(Math.log(oldCanvas.height/h)/Math.log(2));
        var i;
        for(i=0; i<divisionCountW; i++){
            offlineCanvasCtx.drawImage(offlineCanvas, 0, 0, offlineCanvas.width/2, offlineCanvas.height);
        }
        for(i=0; i<divisionCountH; i++){
            offlineCanvasCtx.drawImage(offlineCanvas, 0, 0, offlineCanvas.width, offlineCanvas.height/2);
        }

var newCanvas = document.createElement('canvas');
        newCanvas.width = w;
        newCanvas.height = h;
        var newCanvasContext = newCanvas.getContext('2d');
        newCanvasContext.drawImage(offlineCanvas, 0, 0, offlineCanvas.width, offlineCanvas.height);

return newCanvas;
    }

var width = 800;
    var height = 200;
    var dataCount = 100;
    var canvas = document.querySelector('#original canvas');
    canvas.width = width;
    canvas.height = height;
    var ctx = canvas.getContext('2d');
    ctx.strokeStyle = '#0055EE';
    ctx.beginPath();
    var i, points = [], rnd, step = width/dataCount;
    for(i = 0; i <= width; i+=step){
        rnd = Math.random()*height;
        points.push(rnd);
        ctx.lineTo(i, rnd);
    }
    ctx.stroke();

document.querySelector('#wrong').appendChild(cloneCanvasNoAliasing(canvas, width / 4, height / 2));
    document.querySelector('#correct').appendChild(cloneCanvas(canvas, width / 4, height / 2));

</script>
</body>
</html>