You could try painting the image over and over again but with a different opacity (alpha) value. Start from 0 (completely transparent) and gradually increase to 1 (opaque) in order to produce a fade-in effect. Here is some test code which might help:
float alpha = 0.0f;
public void paint(Graphics g) {
Graphics2D g2d = (Graphics2D) g;
//set the opacity
g2d.setComposite(AlphaComposite.getInstance(
AlphaComposite.SRC_OVER, alpha));
g2d.setRenderingHint(RenderingHints.KEY_ANTIALIASING,RenderingHints.VALUE_ANTIALIAS_ON);
//do the drawing here
g2d.drawLine(10, 10, 110, 110);
g2d.drawRect(10, 10, 100, 100);
//increase the opacity and repaint
alpha += 0.05f;
if (alpha >= 1.0f) {
alpha = 1.0f;
} else {
repaint();
}
//sleep for a bit
try {
Thread.sleep(200);
} catch (InterruptedException e) {
e.printStackTrace();
}
}