//3. show the resulting 2D Gaussian probability distribution
		float[][] gaussian_distribution = new float[256][256];
		for (double[] hxhy_value : hxhy_values)
		{
			int[] rg = new int[2];
			rg[0] = (int) ((hxhy_value[0]+1)*127);
			rg[1] = (int) ((hxhy_value[1]+1)*127);
			double distance = md.distance(hxhy_value);
			double prob = Math.exp(-(Math.pow(distance, 2)/2.0));
			gaussian_distribution[rg[0]][rg[1]] += (float) prob;
		}

		FloatProcessor fp_Gaussian_Prob = new FloatProcessor(gaussian_distribution);