在Matlab中绘制3D平面? [英] Plot a 3D-plane in Matlab?

问题描述

如何在Matlab中的特定点绘制3D平面?

How can I plot a 3D-plane at specific point in Matlab?

考虑平面方程

Z=(-a * X - b * Y)/c

具有以下系数:

a=0.01; b=0.03; c= 1; d=0.

我想绘制围绕点(100,100)而不是原点(0,0)的平面.如何做到这一点?

I want to plot this plane around point (100,100) not at origin (0,0). How it possible to do that?

我使用的代码:

[X,Y] = meshgrid(x);
a=0.1;
b=0.2;
c=1;
d=0;
Z=(-a * X - b * Y)/c;
surf(X,Y,Z)
shading flat
xlabel('x')
ylabel('y')
zlabel('z')

推荐答案

surf()只是绘制您给出的任何点集.为了生成这些点，您需要在X和Y给定的一组特定坐标下评估方程式.因此，您希望这些点以感兴趣的区域为中心:

surf() just plots whatever set of points you give it. To generate those points, you're evaluating the equation at a specific set of coordinates given by X and Y. Therefore you want those points to be centred around the region of interest:

[X, Y] = meshgrid(95:0.1:105);  % e.g. +/-5 at resolution of 0.1

或者说，对于任意视图坐标m，n:

or, say, for arbitrary view coordinates m,n:

[X, Y] = meshgrid(m-20:m+20, n-20:n+20);  % e.g. +/-20 at resolution of 1

这为您提供了以原点为中心的100,100架飞机的视图，我想这就是您要的.

That gives you the view around 100,100 of a plane centred at the origin, which I think is what you're asking for.

或者，如果要使平面其自身以100,100为中心，则需要在等式中添加该偏移量:

Alternatively if you want the plane itself centred at 100,100, then you need that offset in the equation:

Z=(-a * (X - 100) - b * (Y - 100))/c;

因此，以原点为中心的视图将等同于查看-100，-100附近的原始平面.

so then a view centred on the origin will be equivalent to viewing the original plane around -100,-100.

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