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二维插值算法

2024/12/23 11:18:04 来源:https://blog.csdn.net/weixin_37928884/article/details/139470557  浏览:    关键词:二维插值算法

项目函数
一维插值

double inter_linear(double x0, double x1, double y0, double y1, double x)
{
double a0, a1, y;
a0 = (x - x1) / (x0 - x1);
a1 = (x - x0) / (x1 - x0);
y = a0*y0 + a1*y1;return y;
}

项目函数
二维插值

#include "AP_PBIB.H"
double interp2(double a, double b) 
{//一维数组x、y。二维数组。m、n为向量大小。a、b为插值点位置
int i, j, tmpi, tmpj;
double w, w1, w2;int m=31, n=12;double z[31][12]={ //      
{   0.0,	   0.1,	   0.5,	   1.0,	   3.0,	   5.0,	   7.1,	 10.1,	  14.1,	  20.1,	  25.1,	  30.0},
{  42.0,	  42.1,	  42.5,	  43.0,	  44.9,	  46.9,	  48.8,	 51.7,	  55.6,	  61.3,	  66.1,	  70.8},
{  83.9,	  84.0,	  84.3,	  84.8,	  86.7,	  88.6,	  90.4,	 93.2,	  97.0,	 102.5,	 107.1,	 111.7},
{ 167.4,	 167.5,	 167.9,	 168.3,	 170.1,	 171.9,	 173.6,	 176.3,	 179.8,	 185.1,	 189.4,	 193.8},
{2611.3,	 251.2,	 251.2,	 251.9,	 253.6,	 255.3,	 256.9,	 259.4,	 262.8,	 267.8,	 272.0,	 276.1},
{2649.3,	 335.0,	 335.3,	 335.7,	 337.3,	 338.8,	 340.4,	 342.8,	 346.0,	 350.8,	 354.8,	 358.7},
{2687.3,	2676.5,	 419.4,	 419.7,	 421.2,	 422.7,	 424.2,	 426.5,	 429.5,	 434.0,	 437.8,	 441.6},
{2725.4,	2716.8,	 503.9,	 504.3,	 505.7,	 507.1,	 508.5,	 510.6,	 513.5,	 517.7,	 521.3,	 524.9},
{2763.6,	2756.6,	 589.2,	 589.5,	 590.8,	 592.1,	 593.4,	 595.4,	 598.0,	 602.0,	 605.4,	 603.1},
{2802.0,	2796.2,	2767.3,	 675.7,	 676.9,	 678.0,	 679.2,	 681.0,	 683.4,	 687.1,	 690.2,	 693.3},
{2840.6,	2835.7,	2812.1,	2777.3,	 764.1,	 765.2,	 766.2,	 767.8,	 769.9,	 773.1,	 775.9,	 778.7},
{2879.3,	2875.2,	2855.5,	2827.5,	 853.0,	 853.8,	 854.6,	 855.9,	 857.7,	 860.4,	 862.8,	 856.2},
{2918.3,	2914.7,	2898.0,	2874.9,	 943.9,	 944.4,	 945.0,	 946.0,	 947.2,	 949.3,	 951.2,	 953.1},
{2957.4,	2954.3,	2939.9,	2920.5,	2823.0,	1037.8,	1038.0,	1038.4,	1039.1,	1040.3,	1041.5,	1024.8},
{2996.8,	2994.1,	2981.5,	2964.8,	2885.5,	1135.0,	1134.7,	1134.3,	1134.1,	1134.0,	1134.3,	1134.8},
{3036.5,	3034.0,	3022.9,	3008.3,	2941.8,	2857.0,	1236.7,	1235.2,	1233.5,	1231.6,	1230.5,	1229.9},
{3076.3,	3074.1,	3064.2,	3051.3,	2994.2,	2925.4,	2839.2,	1343.7,	1339.5,	1334.6,	1331.5,	1329.0},
{3177.0,	3175.3,	3167.6,	3157.7,	3115.7,	3069.2,	3017.0,	2924.2,	2753.5,	1648.4,	1626.4,	1611.3},
{3279.4,	3278.0,	3217.8,	3264.0,	3231.6,	3196.9,	3159.7,	3098.5,	3004.0,	2820.1,	2583.2,	2159.1},
{3321.0,	3319.7,	3313.8,	3306.6,	3276.9,	3245.4,	3211.0,	3156.0,	3072.7,	2917.0,	2730.8,	2424.7},
{3362.5,	3361.4,	3355.9,	3349.3,	3321.9,	3293.2,	3262.3,	3213.5,	3141.4,	3013.9,	2878.3,	2690.3},
{3383.3,	3382.2,	3377.1,	3370.7,	3344.4,	3316.8,	3288.0,	3242.2,	3175.8,	3062.4,	2952.1,	2823.1},
{3404.4,	3403.3,	3398.3,	3392.1,	3366.8,	3340.4,	3312.4,	3268.6,	3205.2,	3098.0,	2994.7,	2875.3},
{3446.7,	3445.6,	3440.9,	3435.1,	3411.6,	3387.2,	3361.3,	3321.3,	3264.1,	3169.1,	3079.8,	2979.6},
{3488.9,	3487.9,	3483.7,	3478.3,	3456.4,	3433.8,	3410.2,	3374.1,	3323.0,	3240.2,	3165.0,	3083.9},
{3531.8,	3530.9,	3526.9,	3521.9,	3501.3,	3480.1,	3458.6,	3425.1,	3378.4,	3303.7,	3237.0,	3166.1},
{3574.7,	3573.9,	3570.1,	3565.4,	3546.2,	3526.4,	3506.4,	3475.4,	3432.5,	3364.6,	3304.7,	3241.7},
{3593.2,	3595.4,	3591.7,	3587.2,	3568.6,	3549.6,	3530.2,	3500.4,	3459.2,	3394.3,	3337.3,	3277.7},
{3618.0,	3617.2,	3613.6,	3609.2,	3591.2,	3572.8,	3554.1,	3525.4,	3485.8,	3423.6,	3369.2,	3312.6},
{3661.6,	3660.9,	3657.5,	3653.3,	3636.3,	3619.1,	3601.6,	3574.9,	3538.2,	3480.9,	3431.2,	3379.8},
{3705.2,	3704.5,	3701.4,	3697.4,	3681.5,	3665.4,	3649.0,	3624.0,	3589.8,	3536.9,	3491.2,	3444.2}}; double x[31]={0,10,20,40,60,80,100,120,140,160,180,200,220,240,260,280,300,350,400,420,440,450,460,480,500,520,540,550,560,580,600};
double y[12]={0.01,0.1,0.5,1,3,5,7,10,14,20,25,30};tmpi = 0;
tmpj = 0;
w = 0.0;
for (i = 0; i<m; i++) //确定a在x轴的位置
{
if ((a <= x[i]) && (a>x[i + 1])) //
{
tmpi = i;
break;
}
if( (a>=x[i])&&(a<x[i+1]) ) //
{
tmpi = i;
break;
}
}
for (j = 0; j<n; j++) //确定b在y轴的位置
{
if ((b >= y[j]) && (b<y[j + 1]))
{
tmpj = j;
break;
}
}
/********x方向进行插值*****************/
if (x[tmpi] == a)
{
//
w1 = z[tmpi][tmpj];
w2 = z[tmpi][tmpj + 1];
/**********/
if (y[tmpj] == b)
{
//
w = w1;
}
else
{
//
w = inter_linear(y[tmpj], y[tmpj + 1], w1, w2, b);
}
}
else
{
//
w1 = inter_linear(x[tmpi], x[tmpi + 1], z[tmpi][tmpj], z[tmpi + 1][tmpj], a);
w2 = inter_linear(x[tmpi], x[tmpi + 1], z[tmpi][tmpj + 1], z[tmpi + 1][tmpj + 1], a);
if (y[tmpj] == b)
{
//
w = w1;
}
else
{
//
w = inter_linear(y[tmpj], y[tmpj + 1], w1, w2, b);
}
}
return (w);
}

动作函数

#include "apdefap.h"int gscAction( void )
{double out = interp2(600, 25); 
printf("interp2:%f\r\n", out);return 0; 
}

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