Question

【急!】知道了一些点(x,y,z)坐标,怎样用MATLAB绘制出三维曲面?

知道一系列点的坐标如下（1.486,3.059,0.1）;（2.121,4.041,0.1）;（2.570,3.959,0.1）;（3.439,4.396,0.1）;（4.505,3.012,0.1）;（3.402,1.604,0.1）;（2.570,2.065,0.1）;（2.150,1.970,0.1）;（1.794,3.059,0.2）;（2.121,3.615,0.2）;（2.570,3.473,0.2）;（3.421,4.160,0.2）;（4.271,3.036,0.2）;（3.411,1.876,0.2）;（2.561,2.562,0.2）;（2.179,2.420,0.2）;（2.757,3.024,0.3）;（3.439,3.970,0.3）;（4.084,3.036,0.3）;（3.402,2.077,0.3）;（2.879,3.036,0.4）;（3.421,3.793,0.4）;（3.953,3.036,0.4）;（3.402,2.219,0.4）;（3.000,3.047,0.5）;（3.430,3.639,0.5）;（3.822,3.012,0.5）;（3.411,2.385,0.5）;（3.103,3.012,0.6）;（3.430,3.462,0.6）;（3.710,3.036,0.6）;（3.402,2.562,0.6）;（3.224,3.047,0.7）;（3.411,3.260,0.7）;（3.542,3.024,0.7）;（3.393,2.763,0.7）怎样用MATLAB绘制成三维曲面呢？

Answer 1

A=[1.486,3.059,0.1;2.121,4.041,0.1;2.570,3.959,0.1;3.439,4.396,0.1;
4.505,3.012,0.1;3.402,1.604,0.1;2.570,2.065,0.1;2.150,1.970,0.1;
1.794,3.059,0.2;2.121,3.615,0.2;2.570,3.473,0.2;3.421,4.160,0.2;
4.271,3.036,0.2;3.411,1.876,0.2;2.561,2.562,0.2;2.179,2.420,0.2;
2.757,3.024,0.3;3.439,3.970,0.3;4.084,3.036,0.3;3.402,2.077,0.3;
2.879,3.036,0.4;3.421,3.793,0.4;3.953,3.036,0.4;3.402,2.219,0.4;
3.000,3.047,0.5;3.430,3.639,0.5;3.822,3.012,0.5;3.411,2.385,0.5;
3.103,3.012,0.6;3.430,3.462,0.6;3.710,3.036,0.6;3.402,2.562,0.6;
3.224,3.047,0.7;3.411,3.260,0.7;3.542,3.024,0.7;3.393,2.763,0.7];
x=A(:,1);y=A(:,2);z=A(:,3);
scatter(x,y,5,z)%散点图
figure
[X,Y,Z]=griddata(x,y,z,linspace(1.486,4.271)',linspace(1.604,4.276),'v4');%插值
pcolor(X,Y,Z);shading interp%伪彩色图
figure,contourf(X,Y,Z) %等高线图
figure,surf(X,Y,Z)%三维曲面

Answer 2

A=[1.486,3.059,0.1;2.121,4.041,0.1;2.570,3.959,0.1;3.439,4.396,0.1;
4.505,3.012,0.1;3.402,1.604,0.1;2.570,2.065,0.1;2.150,1.970,0.1;
1.794,3.059,0.2;2.121,3.615,0.2;2.570,3.473,0.2;3.421,4.160,0.2;
4.271,3.036,0.2;3.411,1.876,0.2;2.561,2.562,0.2;2.179,2.420,0.2;
2.757,3.024,0.3;3.439,3.970,0.3;4.084,3.036,0.3;3.402,2.077,0.3;
2.879,3.036,0.4;3.421,3.793,0.4;3.953,3.036,0.4;3.402,2.219,0.4;
3.000,3.047,0.5;3.430,3.639,0.5;3.822,3.012,0.5;3.411,2.385,0.5;
3.103,3.012,0.6;3.430,3.462,0.6;3.710,3.036,0.6;3.402,2.562,0.6;
3.224,3.047,0.7;3.411,3.260,0.7;3.542,3.024,0.7;3.393,2.763,0.7];
x=A(:,1);y=A(:,2);z=A(:,3);
%接下来把x,y,z变成矩阵就可以啦，不要把问题想得太复杂
xx=reshape(x,9,4);
yy=reshape(y,9,4);
zz=reshape(z,9,4);
%OK了，画图
surf(xx,yy,zz);
shading interp;

Answer 3

可以首先参考meshgrid()函数，得到规则的x，y格子及其对应的z，然后用很多函数都可以绘制三维曲面，例如mesh(), surf()

Answer 4

这个问题 有点难了~~