用matlab plot 3-D shadow surf.f(x,y)=2sin(sqrt(x^2+y^2) )/sqrt(x^2+y^2)
时间: 2024-10-10 19:11:55 浏览: 48
在MATLAB中,要画出一个3D阴影表面图(Surface Plot),我们可以使用`surf`函数结合`z = f(x, y)`公式,例如你给出的`f(x,y) = 2*sin(sqrt(x^2 + y^2)) / sqrt(x^2 + y^2)`。以下是具体的步骤:
1. 首先,我们需要创建一组二维网格,这可以通过`meshgrid`函数完成:
```matlab
[x, y] = meshgrid(-5:0.1:5, -5:0.1:5); % 定义x和y的范围和步长
```
2. 接着,计算每个网格点的z值,即函数`f(x, y)`的结果:
```matlab
z = 2 * sin(sqrt(x.^2 + y.^2)) ./ sqrt(x.^2 + y.^2);
```
3. 使用`surf`函数来创建3D表面图:
```matlab
surf(x, y, z) % 绘制表面图
```
4. 可能还需要设置轴的范围和标题,以及添加颜色映射(Colormap):
```matlab
axis equal % 使得x, y, z轴等比例显示
title('3D Shadow Surface of f(x, y)')
colormap('jet') % 设置颜色映射
xlabel('X-axis')
ylabel('Y-axis')
zlabel('Z-axis (f(x, y))')
```
完整的代码示例:
```matlab
[x, y] = meshgrid(-5:0.1:5, -5:0.1:5);
z = 2 * sin(sqrt(x.^2 + y.^2)) ./ sqrt(x.^2 + y.^2);
surf(x, y, z)
axis equal
title('3D Shadow Surface of f(x, y)')
colormap('jet')
xlabel('X-axis')
ylabel('Y-axis')
zlabel('Z-axis (f(x, y))')
```
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