Polygon从头到尾找到最短路径

Question

我在我的多边形（路线）中搜索最短路。它从左下角的中心边框（蓝色）开始，到右上角的中心边框（红色）结束。不允许离开路线。

我可以使用哪种算法来计算此路线？我需要一个点列表来绘制最短的路。一个示例代码会很棒。

包含开头和结尾的多边形示例

var points = new List<Point> { new Point(210, 540), new Point(330, 420), new Point(360, 420), new Point(420, 390), new Point(450, 330), new Point(480, 315), new Point(510, 270), new Point(570, 240), new Point(630, 240), new Point(690, 180), new Point(750, 150), new Point(810, 120), new Point(864, 120), new Point(864, 60), new Point(810, 60), new Point(750, 90), new Point(690, 120), new Point(630, 150), new Point(570, 150), new Point(510, 210), new Point(480, 255), new Point(450, 270), new Point(420, 330), new Point(360, 360), new Point(330, 360), new Point(156, 480) };

var image = new Bitmap(1000, 600);
using (var graphics = Graphics.FromImage(image))
{
    graphics.Clear(Color.White);
    graphics.FillPie(Brushes.Blue, 190, 500, 10, 10, 0, 360);
    graphics.FillPie(Brushes.Red, 840, 80, 10, 10, 0, 360);
    graphics.DrawPolygon(new Pen(Color.Black, 2), points.ToArray());
}

image.Save("example.bmp");

Answer 1

<强>解决方案

谢谢@gusman

• 添加栅格
• 计算点之间的距离
• 使用Dijkstra.NET
搜索最佳路线

2, 3, 4, 5, 1   # val = 1, s[j] = 5, j = 3       5 > 1
2, 3, 4, 5, 5   # val = 1, s[j] = 4, j = 2       4 > 1
2, 3, 4, 4, 5   # val = 1, s[j] = 5, j = 1       3 > 1
2, 3, 3, 4, 5   # val = 1, s[j] = 5, j = 0       2 > 1
2, 2, 3, 4, 5   # val = 1, s[j] = 5, j = -1      break out of while
1, 2, 3, 4, 5   # val = 1, s[j] = 5, j = -1      put val into s[0]