Question

matlab 二维插值经典问题

x=[129.0 140.0 103.5 88.0 185.5 195.0 105.5 157.5 107.5 77.0 81.0 162.0 162.0 117.5];
y=[7.5 141.5 23.0 147.0 22.5 137.5 85.5 60.5 121.0 3.0 56.5 116.5 84.0 43.5];
Z=[4 8 6 8 6 8 8 9 9 8 8 9 4 9];
x,y为平面坐标，z为高度，要求绘制出精细的三维图形（需要对z插值）

Answer 1

>> x=[129.0 140.0 103.5 88.0 185.5 195.0 105.5 157.5 107.5 77.0 81.0 162.0 162.0 117.5];

>> y=[7.5 141.5 23.0 147.0 22.5 137.5 85.5 60.5 121.0 3.0 56.5 116.5 84.0 43.5];

>> plot(x,y,'o')

>> Z=[4 8 6 8 6 8 8 9 9 8 8 9 4 9];

>> h=-Z;

>> xi=70:3:200;yi=0:3:150;

>> [X,Y]=meshgrid(xi,yi);

>> H=griddata(x,y,h,X,Y,'cubic');

>> mesh(X,Y,H);

>> view(-60,30);

图形如下:

Answer 2

clear;clc;
x=[129.0 140.0 103.5 88.0 185.5 195.0 105.5 157.5 107.5 77.0 81.0 162.0 162.0 117.5];
y=[7.5 141.5 23.0 147.0 22.5 137.5 85.5 60.5 121.0 3.0 56.5 116.5 84.0 43.5];
z=[4 8 6 8 6 8 8 9 9 8 8 9 4 9];
xi=min(x):2:max(x);yi=min(y):2:max(y);
[X,Y]=meshgrid(xi,yi);
Z=griddata(x,y,z,X,Y,'cubic');
mesh(X,Y,Z);

图形见：
http://hi.baidu.com/chemical%5Fengineering/album/item/80f90924b21b170ed5074273.html