2024-10-05我的读书日志 - 学习字典，学习词典- 学无忧文学网

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using System;

public class PlaneInterpolation3D
{
    // 三线性插值函数
    public static double TrilinearInterpolate(double[,,] data, double x, double y, double z)
    {
        int x0 = (int)Math.Floor(x);
        int x1 = x0 + 1;
        int y0 = (int)Math.Floor(y);
        int y1 = y0 + 1;
        int z0 = (int)Math.Floor(z);
        int z1 = z0 + 1;

// 防止越界
        x0 = Math.Clamp(x0, 0, data.GetLength(0) - 1);
        x1 = Math.Clamp(x1, 0, data.GetLength(0) - 1);
        y0 = Math.Clamp(y0, 0, data.GetLength(1) - 1);
        y1 = Math.Clamp(y1, 0, data.GetLength(1) - 1);
        z0 = Math.Clamp(z0, 0, data.GetLength(2) - 1);
        z1 = Math.Clamp(z1, 0, data.GetLength(2) - 1);

// 获取周围的八个点的值
        double c000 = data[x0, y0, z0];
        double c100 = data[x1, y0, z0];
        double c010 = data[x0, y1, z0];
        double c110 = data[x1, y1, z0];
        double c001 = data[x0, y0, z1];
        double c101 = data[x1, y0, z1];
        double c011 = data[x0, y1, z1];
        double c111 = data[x1, y1, z1];

double xd = (x - x0) / (x1 - x0);
        double yd = (y - y0) / (y1 - y0);
        double zd = (z - z0) / (z1 - z0);

double c00 = c000 * (1 - xd) + c100 * xd;
        double c10 = c010 * (1 - xd) + c110 * xd;
        double c01 = c001 * (1 - xd) + c101 * xd;
        double c11 = c011 * (1 - xd) + c111 * xd;

double c0 = c00 * (1 - yd) + c10 * yd;
        double c1 = c01 * (1 - yd) + c11 * yd;

double c = c0 * (1 - zd) + c1 * zd;

return c;
    }

// 获取平面上的插值数据
    public static double[,] GetPlaneData(double[,,] data, int resolution, double[] P1, double[] P2, double[] P3)
    {
        double[,] planeData = new double[resolution, resolution];

// 计算两个向量，描述平面内的方向
        double[] v1 = { P2[0] - P1[0], P2[1] - P1[1], P2[2] - P1[2] };
        double[] v2 = { P3[0] - P1[0], P3[1] - P1[1], P3[2] - P1[2] };

// 遍历平面的采样点
        for (int i = 0; i < resolution; i++)
        {
            for (int j = 0; j < resolution; j++)
            {
                // 计算当前采样点在平面中的坐标
                double u = (double)i / (resolution - 1);
                double v = (double)j / (resolution - 1);

double x = P1[0] + u * v1[0] + v * v2[0];
                double y = P1[1] + u * v1[1] + v * v2[1];
                double z = P1[2] + u * v1[2] + v * v2[2];

// 使用三线性插值获取当前点的值
                planeData[i, j] = TrilinearInterpolate(data, x, y, z);
            }
        }

return planeData;
    }

public static void Main(string[] args)
    {
        // 示例三维数据 10x10x10 的体数据
        double[,,] data = new double[10, 10, 10];
        Random rand = new Random();
        for (int x = 0; x < 10; x++)
            for (int y = 0; y < 10; y++)
                for (int z = 0; z < 10; z++)
                    data[x, y, z] = rand.NextDouble();

// 定义平面上的三个点
        double[] P1 = { 2.0, 2.0, 2.0 };
        double[] P2 = { 8.0, 2.0, 2.0 };
        double[] P3 = { 2.0, 8.0, 2.0 };

// 获取截面上的插值数据，分辨率设置为10x10
        double[,] planeData = GetPlaneData(data, 10, P1, P2, P3);

// 输出插值后的平面数据
        Console.WriteLine("截面上的插值数据:");
        for (int i = 0; i < planeData.GetLength(0); i++)
        {
            for (int j = 0; j < planeData.GetLength(1); j++)
            {
                Console.Write($"{planeData[i, j]:F2} ");
            }
            Console.WriteLine();
        }
    }
}

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