Java中空间填充Hilbert曲线的递推算法

时间:2012-05-04 12:26:24

标签: java recursion

我正在学习用Java编写代码,我已经学习了java编程的递归部分。我理解了递归方法的基础知识,并且我正在尝试编写填充希尔伯特曲线(和Levy C曲线)的空间,到目前为止,一切都顺利进行,直到实际的递归部分。我在提出递归方法时遇到了麻烦,想知道是否有人可以帮助我。我也知道它需要在DrawHilbert方法中。

public class HilbertCurve extends JPanel {
int N;

/**
 * Constructor for Hilbert Curve
 */
public HilbertCurve () 
{
    Scanner myKeyboard = new Scanner(System.in);
    System.out.println("Enter an integer number to indicate the level of recursive depth: ");
    N = myKeyboard.nextInt();
    // Create a JFrame - a window that will appear on your screen
    JFrame f = new JFrame();

    // Tells the program to quit if you close the window
    f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
    // Puts your drawing into the window (the JFrame)
    f.add(new JScrollPane(this));
    // Changes the size of the window on the screen
    f.setSize(600, 600);
    // Changes where the window will appear on your screen
    f.setLocation(200, 200);
    // Makes the window appear
    f.setVisible(true);
}
public void setupHilbert (Turtle turtle) 
{
    turtle.penup();
    turtle.setXY(0,0);

    // draw a simple rectangle that is 100x50 pixels
    turtle.pendown();

    drawHilbert(turtle, N); 
}

public void drawHilbert(Turtle turtle, int n) {

    if (n == 0) return;
    turtle.changeColor(Color.GREEN);
    turtle.changeWidth(2);
    turtle.left(-90);
    turtle.forward(100);
    turtle.left(90);
    turtle.forward(100);
    turtle.left(90);
    turtle.forward(100);
    turtle.left(-90);
    turtle.penup();
}

protected void paintComponent(Graphics g)
{
    Turtle turtle = new Turtle((Graphics2D) g, getBounds());

    turtle.setHeadingMode(Turtle.DEGREE);
    setupHilbert(turtle);

}


// plot a Hilbert curve of order N
public static void main(String[] args) 
{
    Scanner myKeyboard = new Scanner(System.in);
    HilbertCurve test = new HilbertCurve();
}

}

1 个答案:

答案 0 :(得分:1)

递归的迹象是一个调用自身的函数。我希望在某处可以看到drawHilbert()内部的呼叫,但我没有。

密切注意你的停止条件,否则你最终会得到一个OutOfMemoryError,因为你的递归调用将永远添加到堆栈中。

我对你的问题并不熟悉,但这会是你错过的吗?

public void drawHilbert(Turtle turtle, int n) {

    if (n == 0) return;
    turtle.changeColor(Color.GREEN);
    turtle.changeWidth(2);
    turtle.left(-90);
    turtle.forward(100);
    turtle.left(90);
    turtle.forward(100);
    turtle.left(90);
    turtle.forward(100);
    turtle.left(-90);
    turtle.penup();
    drawHilbert(turtle, --n);  // is this where your recursion should go?
}

更新:此网站看起来很相关。

http://people.cs.aau.dk/~normark/prog3-03/html/notes/fu-intr-2_themes-hilbert-sec.html