在C＃中将图形坐标转换为数学坐标

Question

我想将图形x，y坐标x，y转换为数学坐标

（在这张图片中，您会看到图形x，y与数学x，y之间的差异

图形x和图形y通过e事件获取

         int graphicalx;
        int graphicaly;   
        graphicalx = e.X;
        graphicaly = e.Y;

并且它们在表单中由两个标签显示，仅应在表单上移动鼠标

现在，将graphicx，y转换为数学x，y的公式是：

图形x =数学x + Alfa

图形y = - 数学y + Beta

现在，Alfa和Beta可以通过以下方式获得：

您得到您的计算机分辨率：对于我的示例是： 1600 * 800

阿尔法= 1600/2 = 800

Beta = 800/2 = 450

最后：阿尔法= 800贝塔= 450

现在我的程序运行不正常，问题出在哪里？

    private void Form1_MouseMove(object sender, MouseEventArgs e)
    {
        int graphicalx;
        int graphicaly;
        int mathematicalx;
        int mathematicaly;


        graphicalx = e.X;
        graphicaly = e.Y;


             if (graphicalx > 0)
        {
            graphicalx = graphicalx * -1; //if graphicalX was positive do it negative

        }
        if (graphicaly > 0)
        {
            graphicaly = graphicaly * -1; //if it graphicalY was positive do it negative

            }

        if (graphicalx < 0)
        {
            graphicalx = graphicalx * +1; // if graphicalX was negative do it positive
        }
        if (graphicaly < 0)
        {
            graphicaly = graphicaly * +1; // if graphicalY was negative do it positive
        }


       mathematicalx = graphicalx + 800; // the formula for obtain the mathematical x 
       mathematicaly = graphicaly * -1 + 450; // the formula for obtain the mathematical y 


        label1.Text = "X = " +mathematicalx.ToString();
        label3.Text = "Y = " + mathematicaly.ToString();

    }

表格1属性：

Windows状态=已最大化

FormBorderStyle =无

Answer 1

好吧，第一个突出的问题是您的逆方程不是实际的逆，您需要减去值，而不是相加。 尝试这个：

mathematicalx = graphicalx - 800; // the formula for obtain the mathematical x 
mathematicaly = (graphicaly - 450) * -1; // the formula for obtain the mathematical y 

Answer 2

为了根据图像和通常的约定进行一些测试，角和中点应满足对应关系：

graphical     |   mathematical
-------------------------------
 (   0,   0)  |    (-800,  450)
 (   0, 900)  |    (-800, -450)
 (1600,   0)  |    ( 800,  450)
 (1600, 900)  |    ( 800, -450)
 ( 800, 450)  |    (   0,    0)

这使它

mathematical.x = graphical.x - 800
mathematical.y = 450 - graphical.y