JFrame でカスタム背景画像を設定するにはどうすればよいですか?

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

class ImagePanel extends JComponent {
    private Image image;
    public ImagePanel(Image image) {
        this.image = image;
    }
    @Override
    protected void paintComponent(Graphics g) {
        super.paintComponent(g);
        g.drawImage(image, 0, 0, this);
    }
}
// elsewhere:
BufferedImage myImage = ImageIO.read(...);
JFrame myJFrame = new JFrame("Image pane");
myJFrame.setContentPane(new ImagePanel(myImage));