JAVA有效的方法来绘制子弹从字符到鼠标位置？

import javax.swing.*;
import java.awt.*;
import java.awt.event.MouseEvent;
import java.awt.event.MouseMotionAdapter;

public class BulletGame extends JFrame {
    private int bulletX;
    private int bulletY;
    private int mouseX;
    private int mouseY;

    public BulletGame() {
        setTitle("Bullet Game");
        setSize(800, 600);
        setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        setLocationRelativeTo(null);

        bulletX = 400;
        bulletY = 300;

        addMouseMotionListener(new MouseMotionAdapter() {
            @Override
            public void mouseMoved(MouseEvent e) {
                mouseX = e.getX();
                mouseY = e.getY();
            }
        });

        setVisible(true);
    }

    @Override
    public void paint(Graphics g) {
        super.paint(g);

        // 绘制子弹
        g.drawString("•", bulletX, bulletY);

        // 绘制鼠标位置
        g.drawString("Mouse: (" + mouseX + ", " + mouseY + ")", 10, 20);

        // 更新子弹位置
        updateBullet();

        // 重绘
        repaint();
    }

    private void updateBullet() {
        // 计算子弹的移动方向和速度
        int dx = mouseX - bulletX;
        int dy = mouseY - bulletY;
        double distance = Math.sqrt(dx * dx + dy * dy);
        int speed = 5;
        int vx = (int) (speed * dx / distance);
        int vy = (int) (speed * dy / distance);

        // 更新子弹的位置
        bulletX += vx;
        bulletY += vy;
    }

    public static void main(String[] args) {
        new BulletGame();
    }
}