Help with image mapping

Hi, Is there any way to map the image to handle mouse clicks? Not a java applet, click an object on the left, follows the left() function, the object on the right does right() function.

Thanks.

Code:

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import java.awt.*;
import java.awt.event.*;
import java.awt.image.BufferedImage;
import java.io.*;
import javax.imageio.ImageIO;
import javax.swing.*;

public class ImageMap extends JPanel {
    BufferedImage image;
    Rectangle left;
    Rectangle right;
    boolean showGrid = true;

    public ImageMap(BufferedImage image) {
        this.image = image;
        addMouseListener(ml);
        addComponentListener(cl);
    }

    protected void paintComponent(Graphics g) {
        super.paintComponent(g);
        Graphics2D g2 = (Graphics2D)g;
        g2.setRenderingHint(RenderingHints.KEY_ANTIALIASING,
                            RenderingHints.VALUE_ANTIALIAS_ON);
        if(left == null) initRects();
        g2.drawImage(image, left.x, left.y, this);
        if(showGrid) {
            g2.setPaint(Color.red);
            g2.draw(left);
            g2.draw(right);
        }
    }

    public Dimension getPreferredSize() {
        return new Dimension(image.getWidth(), image.getHeight());
    }

    private void initRects() {
        int w = getWidth();
        int h = getHeight();
        int iw = image.getWidth();
        int ih = image.getHeight();
        int x = (w - iw)/2;
        int y = (h - ih)/2;
        left = new Rectangle(x, y, iw/2, ih);
        right = new Rectangle(x+iw/2, y, iw/2, ih);
    }

    public static void main(String[] args) throws IOException {
        String path = "images/owls.jpg";
        BufferedImage image = ImageIO.read(new File(path));
        ImageMap map = new ImageMap(image);
        JFrame f = new JFrame();
        f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        f.getContentPane().add(new JScrollPane(map));
        f.setSize(400,400);
        f.setLocation(200,200);
        f.setVisible(true);
    }

    private MouseListener ml = new MouseAdapter() {
        public void mousePressed(MouseEvent e) {
            Point p = e.getPoint();
            String s = "not over image";
            if(left.contains(p))
                s = "left";
            if(right.contains(p))
                s = "right";
            System.out.println("s = " + s);
        }
    };

    private ComponentListener cl = new ComponentAdapter() {
        public void componentResized(ComponentEvent e) {
            left = null;
            repaint();
        }
    };
}

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