通过曲线旋转生成3D图 [英] Generating a 3D plot by revolution of a curve

问题描述

我正在尝试旋转2D曲线以生成3D表面图.

I'm trying to revolve a 2D curve to generate a 3D surface plot.

我尝试使用

[X,Z,Y] = cylinder(u);
surf(X,Y,Z), axis square

但是，这使我的曲线绕错误的轴旋转.如何更改轴?

this, however, revolves my curve around the wrong axis. How do I go about changing the axis?

非常感谢.

推荐答案

要旋转圆柱轴，只需更改X，Y和Z的顺序即可.

To rotate the axis of the cylinder, you can simply change the order of X, Y, and Z.

[X,Y,Z] = cylinder(u);

surf(X,Y,Z) %# rotation around Z
surf(Z,X,Y) %# rotation around X
surf(Y,Z,X) %# rotation around Y

编辑

要更改曲线的旋转轴，必须计算曲面.例如，要使y = sin(alpha)和alpha = 0:0.1:pi围绕y轴旋转，您可以编写

To change the axis of rotation of your curve, you have to calculate the surface. For example, to rotate y = sin(alpha) with alpha = 0:0.1:pi around the y-axis, you can write

r = 0:0.1:pi;
z = sin(r);
theta = 0:pi/20:2*pi;
xx = bsxfun(@times,r',cos(theta));
yy = bsxfun(@times,r',sin(theta));
zz = repmat(z',1,length(theta));
dfig,surf(xx,yy,zz)
axis equal

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