Java2D:如何以正确的旋转将图像放置在中心周围

import java.awt.Graphics;
import java.awt.Graphics2D;
import java.awt.Image;
import java.awt.Toolkit;
import javax.swing.JFrame;
import javax.swing.JPanel;

public class ImageRotationExample extends JPanel {

    private Image image;

    public ImageRotationExample() {
        image = Toolkit.getDefaultToolkit().getImage("image.jpg");
    }

    @Override
    protected void paintComponent(Graphics g) {
        super.paintComponent(g);
        Graphics2D g2d = (Graphics2D) g;

        double angle = Math.toRadians(45); // 旋转角度为45度
        int centerX = getWidth() / 2; // 图像中心点的x坐标
        int centerY = getHeight() / 2; // 图像中心点的y坐标

        g2d.rotate(angle, centerX, centerY); // 旋转图像
        g2d.drawImage(image, centerX - image.getWidth(this) / 2, centerY - image.getHeight(this) / 2, this); // 绘制图像
    }

    public static void main(String[] args) {
        JFrame frame = new JFrame("Image Rotation Example");
        frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        frame.setSize(400, 400);
        frame.add(new ImageRotationExample());
        frame.setVisible(true);
    }
}