Rotating 3D points on same plane to x-y axis

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Jay
Jay 2014-4-22
评论： Jay 2014-4-23
I have a 3D mesh object which contains many faces, each made up of 3 vertices. I am currently able to select a face with a click. Upon selection I would like the whole mesh object to rotate such that the selected face is parallel to the x-y axis.
i.e. I have 3 known xyz coordinates that sit on a 2D plane. I want to rotate these points so that this plane is now parallel to the x-y axis. I simply require a method of calculating the transformation matrix required for this rotation to input into the 'Matrix' property of the hgtransform object.
Thanks in advance.

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回答（1 个）

Matt J
Matt J 2014-4-22
I simply require a method of calculating the transformation matrix required for this rotation
See, for example,
http://www.mathworks.com/matlabcentral/fileexchange/30864-3d-rotation-about-shifted-axis
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Jay
Jay 2014-4-23
The aim is to perform the smallest rotation possible then set the z-axis to zero for that face so that the face sits on the x-y plane itself. Orientation of the face on the x-y plane is unimportant.
Jay
Jay 2014-4-23
Also the example you sent is fine.. but only once I already know the axis about which I must rotate and by what angle.
How can I find these arguments?

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