How to rotate a curve in the xz-plane around z axis?

Per
2013 1 30
1 个回答
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0 个投票

I have a curve difined in a vector M with values in x and z position. I use "plot3" to plot this but now I want to rotate this curve around some axis, preferable z-axis so that it creates a body. In my case it will have a shape of a mountain.
Is this possible?

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回答（1 个）

Jan
Jan 2013-1-30
编辑：Jan 2013-1-30

0 个投票

Rotation around the Z-axis by the angle a:
R = [ cos(a), sin(a), 0; ...
-sin(a), cos(a), 0; ...
0, 0, 1];
Points = rand(3, 100);
RotatedPoints = R * Points;

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Per
Per 2013-1-30
编辑：Per 2013-1-30
Thank you! How do I define the start point of the rotation? In this case it rotates around z-axis with [0;0;0] fixed. What if I want the curve to rotate around z-axis but with start in say [11;0,0]?
What I want to achive is a rotation of the black curve around the red axis is this picture:
Jan
Jan 2013-1-30
Subtract the translation before rotating and add the translation afterwards again.
Per
Per 2013-2-4
I dont see it. How do I subtract the translation? say it's 3 in x-dir and 5 in y-dir, will it look like:
R = [ cos(a), sin(a), 0; ...
-sin(a), cos(a), 0; ...
-3, -5, 1];
and then after the Curve*R I then add +3 and +5 ?

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Per
Per
2013-1-30

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