在matlab中绘制椭圆抛物面

Question

如何使用surf()函数在MATLAB中绘制椭圆抛物面，使用2个变量 u 和 v 的参数方程？等式看起来像

r = {ucos{v}, u^2,5usin{v}}

我知道我需要从你和 v 制作网格网格，但下一步该做什么？

Answer 1

您可以通过以下方式执行此操作：

%// Create three function handles with the components of you function
fx = @(u,v) u.* cos(v);  %// Notice that we use .*
fy = @(u,v) u.^2;        %// and .^ because we want to apply
fz = @(u,v) 5.*u.*sin(v);%// multiplication and power component-wise.

%// Create vectors u and v within some range with 100 points each
u = linspace(-10,10, 100);
v = linspace(-pi,pi, 100);

%// Create a meshgrid from these ranges
[uu,vv] = meshgrid(u, v);

%// Create the surface plot using surf
surf(fx(uu,vv),  fy(uu,vv),  fz(uu,vv));

%// Optional: Interpolate the color and do not show the grid lines
shading interp;

%// Optional: Set the aspect ratio of the axes to 1:1:1 so proportions
%//           are displayed correctly.
axis equal;

我添加了一些注释，因为你似乎是Matlab的新手。