How can I create a shadow text effect?

Question

How can I add a blur effect to text on a BufferedImage. I am trying to create a shadow text effect. Here is what I have currently.
BufferedImage image = new BufferedImage(500,120,BufferedImage.TYPE_INT_RGB);
Rectangle2D Rectangle = new Rectangle2D.Double(0,0,500,120);
Graphics graphics = image.getGraphics();
Graphics2D g2d = (Graphics2D) graphics;
g2d.setRenderingHint(RenderingHints.KEY_ANTIALIASING,RenderingHints.VALUE_ANTIALIAS_ON);
g2d.setPaint(Color.white);
g2d.fill(Rectangle);
g2d.draw(Rectangle);
//Shadow text
g2d.setRenderingHint(RenderingHints.KEY_ANTIALIASING,RenderingHints.VALUE_ANTIALIAS_ON);
shadow = new TextLayout("Shadow Text", new Font("Serif", Font.BOLD, 70), g2d.getFontRenderContext());
g2d.setPaint(Color.lightGray);
shadow.draw(g2d, 13, 103);
//Main text
g2d.setRenderingHint(RenderingHints.KEY_ANTIALIASING,RenderingHints.VALUE_ANTIALIAS_ON);
text = new TextLayout("Shadow Text", new Font("Serif", Font.BOLD, 70), g2d.getFontRenderContext());
g2d.setPaint(Color.black);
text.draw(g2d, 10, 100);
I found a blur effect but it affect the whole image not just the shadow. Here is an example.
BufferedImage image = new BufferedImage(500,120,BufferedImage.TYPE_INT_RGB);
Rectangle2D Rectangle = new Rectangle2D.Double(0,0,500,120);
Graphics graphics = image.getGraphics();
Graphics2D g2d = (Graphics2D) graphics;
g2d.setRenderingHint(RenderingHints.KEY_ANTIALIASING,RenderingHints.VALUE_ANTIALIAS_ON);
g2d.setPaint(Color.white);
g2d.fill(Rectangle);
g2d.draw(Rectangle);
//Shadow text
g2d.setRenderingHint(RenderingHints.KEY_ANTIALIASING,RenderingHints.VALUE_ANTIALIAS_ON);
shadow = new TextLayout("Shadow Text", new Font("Serif", Font.BOLD, 70), g2d.getFontRenderContext());
g2d.setPaint(Color.lightGray);
shadow.draw(g2d, 13, 103);
Blur filter
float ninth = 1.0f / 9.0f;
float[] kernel = {ninth, ninth, ninth, ninth, ninth, ninth, ninth, ninth, ninth};
biop = new ConvolveOp(new Kernel(3, 3, kernel));
op = (BufferedImageOp) biop;
image = op.filter(image,null);
//Main text
g2d.setRenderingHint(RenderingHints.KEY_ANTIALIASING,RenderingHints.VALUE_ANTIALIAS_ON);
text = new TextLayout("Shadow Text", new Font("Serif", Font.BOLD, 70), g2d.getFontRenderContext());
g2d.setPaint(Color.black);
text.draw(g2d, 10, 100);

Answer 1

I thought I answered that question?!
In your code above, watch out for statement:
image = op.filter(image,null); The resulted buffered image is new, so you are updating the reference held in variable image.
Unfortunately variable g2d is still refering to a graphics object back by the original image, so:
g2d.setPaint(Color.black);
text.draw(g2d, 10, 100);renders on the first buffered image, not the second.
Here's my code again, touched up a bit.
import java.awt.*;
import java.awt.font.*;
import java.awt.geom.*;
import java.awt.image.*;
import java.io.*;
import java.util.*;
import javax.imageio.*;
import javax.swing.*;
public class ShadowText {
    public static void main(String[] args) throws IOException {
        int w = 500;
        int h = 120;
        Font font = new Font("Lucida Bright", Font.ITALIC, 72);
        String text = "Shadow Text";
        BufferedImage image = new BufferedImage(w,h,BufferedImage.TYPE_INT_RGB);
        Graphics2D g = image.createGraphics();
        adjustGraphics(g);
        //start off all white:
        g.setPaint(Color.WHITE);
        g.fillRect(0, 0, w, h);
        //draw "shadow" text: to be blurred next
        TextLayout textLayout = new TextLayout(text, font, g.getFontRenderContext());
        g.setPaint(new Color(128,128,255));
        textLayout.draw(g, 15, 105);
        g.dispose();
        //blur the shadow: result is sorted in image2
        float ninth = 1.0f / 9.0f;
        float[] kernel = {ninth, ninth, ninth, ninth, ninth, ninth, ninth, ninth, ninth};
        ConvolveOp op = new ConvolveOp(new Kernel(3, 3, kernel), ConvolveOp.EDGE_NO_OP, null);
        BufferedImage image2 = op.filter(image,null);
        //write "original" text on top of shadow
        Graphics2D g2 = image2.createGraphics();
        adjustGraphics(g2);
        g2.setPaint(Color.BLACK);
        textLayout.draw(g2, 10, 100);
        //save to file
        ImageIO.write(image2, "jpeg", new File("ShadowText.jpg"));
        //show me the result
        display(image2);
    static void adjustGraphics(Graphics2D g) {
        g.setRenderingHint(RenderingHints.KEY_TEXT_ANTIALIASING, RenderingHints.VALUE_TEXT_ANTIALIAS_ON);
        g.setRenderingHint(RenderingHints.KEY_FRACTIONALMETRICS, RenderingHints.VALUE_FRACTIONALMETRICS_ON);
    static void display(BufferedImage im) {
        JFrame f = new JFrame("ShadowText");
        f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        f.getContentPane().add(new JLabel(new ImageIcon(im)));
        f.pack();
        f.setLocationRelativeTo(null);
        f.setVisible(true);
}