Jak podwoić bufor w Javie dla gry?

Więc w grze, nad którą pracuję, mam marmur podążający za myszką, ale kiedy to robi, ekran migocze.

Tło zawiera dwa pliki JPEG i 9 prostokątów. Jak podchodziłbym do podwójnego buforowania tego? Oto kod głównego okna.

<code>/**
 * Write a description of class Window here.
 * 
 * @author (your name) 
 * @version (a version number or a date)
 */
public class Window extends JApplet implements MouseMotionListener
{
    private BufferedImage image; 
    private BufferedImage side;
    private int mouseX;
    private int mouseY;

    public Window(){
        try {
            image = ImageIO.read(new File("Backgrounds/violet.jpg"));
            side = ImageIO.read(new File("Backgrounds/side margin.jpg"));
        } catch (IOException ex) { }    
    }   

    private void delay(int delay)
    {
        try {
            Thread.sleep(delay);
        } catch (InterruptedException e) {}
    }

    public void init()
    {
        this.addMouseMotionListener(this);
    }

    public void paint (Graphics page)
    {
        page.drawImage(image, 0, 0, null);
        page.setColor(Color.blue);
        page.fillRect(0, 0, 160, 160);
        page.setColor(Color.black);
        page.fillRect(15, 15, 130, 130);
        page.setColor(Color.green);
        page.fillRect(340, 0, 160, 160);
        page.setColor(Color.black);
        page.fillRect(355, 15, 130, 130);
        page.setColor(Color.yellow);
        page.fillRect(0, 340, 160, 160);
        page.setColor(Color.black);
        page.fillRect(15, 355, 130, 130);
        page.setColor(Color.red);
        page.fillRect(340, 340, 160, 160);
        page.setColor(Color.black);
        page.fillRect(355, 355, 130, 130);
        page.drawImage(side, 500, 0, null);
        page.drawString(Score.getScore(), 560, 110);
        //conveyors
        page.setColor(Color.gray);
        page.fillRect(235, 0, 30, 160);

        //marble
        delay(100);

        page.fillOval(mouseX, mouseY , 40, 40);          
    }

    public void mouseMoved(MouseEvent e)
    {
        mouseX = e.getX();
        mouseY = e.getY();
        repaint();
    }

    public void mouseDragged(MouseEvent e)
    {

    }
}
</code>

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