如何在 Java 中繞 X 軸旋轉和縮放 2D 形狀？

透過縮放繞X 軸垂直旋轉形狀

問題：

問題：

問題：

<code class="java">import java.awt.*;
import java.awt.event.*;
import java.awt.geom.AffineTransform;
import javax.swing.*;

public class ShapeRotationScaling extends JPanel implements ActionListener {

    private static final int ANGLE_INCREMENT = 1; // in degrees
    private static final double SCALE_INCREMENT = 0.1;
    private int[] shapeXPoints = {200, 200, 240, 240, 220, 220, 200};
    private int[] shapeYPoints = {200, 260, 260, 240, 240, 200, 200};
    private AffineTransform transform = new AffineTransform();
    private double rotationAngle = 0;
    private double scaleFactor = 1;
    private Timer timer = new Timer(100, this);

    public ShapeRotationScaling() {
        this.setPreferredSize(new Dimension(700, 700));
        this.setBackground(Color.white);
        timer.start();
    }

    @Override
    public void actionPerformed(ActionEvent event) {
        // Rotate the shape around the x-axis
        transform.rotate(Math.toRadians(rotationAngle), this.getWidth() / 2, 0);

        // Scale the shape
        transform.scale(scaleFactor, scaleFactor);

        // Increment the rotation angle and scale factor
        rotationAngle += ANGLE_INCREMENT;
        scaleFactor += SCALE_INCREMENT;

        repaint();
    }

    @Override
    public void paintComponent(Graphics g) {
        super.paintComponent(g);
        Graphics2D g2d = (Graphics2D) g;
        g2d.setRenderingHint(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON);

        // Draw the x and y axes
        g2d.drawLine(this.getWidth() / 2, 0, this.getWidth() / 2, this.getHeight());
        g2d.drawLine(0, this.getHeight() / 2, this.getWidth(), this.getHeight() / 2);

        // Apply the transformation to the shape and draw it
        Shape rotatedAndScaledShape = transform.createTransformedShape(new Polygon(shapeXPoints, shapeYPoints, shapeXPoints.length));
        g2d.draw(rotatedAndScaledShape);
    }

    public static void main(String[] args) {
        JFrame frame = new JFrame("Shape Rotation and Scaling");
        frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        ShapeRotationScaling sr = new ShapeRotationScaling();
        frame.add(sr);
        frame.pack();
        frame.setVisible(true);
    }
}</code>

問題：問題：問題：問題：您有一個帶有x 和y 軸的2D 圖形，並且希望在合併縮放功能的同時繞軸旋轉形狀。 解決方案：要實現此目的，您可以使用旋轉和縮放等變換來操縱形狀的點。以下是一個範例，首先將形狀旋轉固定角度，然後以不同的比例因子進行縮放：

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