Generate irregular blob Shape in java

I'm trying to generate a random irregular java.awt.Shape blob, something like the examples in the second answer (the one by Paul Gaborit) to this question on tex.stackexchange.com.

If there is a way to start with an Ellipse2D and then modify that similar to how it is done in TeX in that answer, great.

Otherwise, maybe I could do something like this?:

public Shape createShape(int pointCount, double max_variance, int median_radius,
                         int[] center)
{
    int[][] pathPoints = new int[pointCount][2];
    Random rand = new Random();
    for (int i=0;i<pointCount;i++)
    {
        double angle = (2*Math.PI/((double)pointCount))*((double)i);
        double temp_variance = (0.5-rand.nextDouble())*2.0*max_variance;
        double temp_radius = mean_radius+temp_variance;
        int x = Math.round(temp_radius*Math.cos(angle));
        int y = Math.round(temp_radius*Math.sin(angle));
        pathPoints[i] = new int[] {x+center[0],y+center[1]};
    }
    // somehow make pathPoints into a Shape with smooth curves
    return shape;
}