Question

我试图用C＃在球壳中安排点。我有一些代码用半径为double earthRadius的球形图案排列一堆点（我进行有限元分析）。我无法弄清楚如何对球壳like the type pictured here做同样的事情。想法？

for (double x = -earthRadius; x < earthRadius; x += pointIncrement) //taken from http://stackoverflow.com/questions/8671385/sphere-drawing-in-java and slightly altered to make more efficient
        {
            for (double y = -earthRadius; y < earthRadius; y += pointIncrement)
            {
                for (double z = -earthRadius; z < earthRadius; z += pointIncrement)
                {
                    if ((x * x) + (y * y) + (z * z) <= earthRadius * earthRadius)
                    {
                        earth.AddPoint(new Vector(x, y, z), 0); 
                        totalPoints++;
                    }
                }
            }
        }

Answer 1

我只使用笛卡尔坐标来解决这个问题。我选择不使用球面坐标，因为它是一个次优的解决方案：它使代码不那么优雅，使用Math.Sin()和Math.Cos()会减慢速度。这是我得到的最终解决方案：

  for (double x = -earthRadius; x < earthRadius; x += pointIncrement) //taken from http://stackoverflow.com/questions/8671385/sphere-drawing-in-java and slightly altered to make more efficient
        {
            for (double y = -earthRadius; y < earthRadius; y += pointIncrement)
            {
                for (double z = -earthRadius; z < earthRadius; z += pointIncrement)
                {
                    if ((x * x) + (y * y) + (z * z) <= earthRadius * earthRadius)
                    {

                        if ((x * x) + (y * y) + (z * z) >= (earthRadius - shellThickness) * (earthRadius - shellThickness))
                        {

                            earth.AddPoint(new Vector(x, y, z), 0); // need to figure out how to calculate masspoint
                            totalPoints++;
                        }

                    }
                }
            }
        }

请注意，我只是添加了另一个if语句。我（愚蠢地）没有使用＆amp;＆amp;运算符，因为我认为它降低了可读性。

如何画出球壳？

1 个答案: