rotate plane onto another with respective point transformation using geom3d

Hello,

I am trying to use geom3d package (but if other simple solutions are available please feel free to comment), to do the following.

I have two planes defined by v1 and v2 normals. In the plane 1, I have a shape, I would like to rotate this shape onto v2 plane.

I tried calculating the angles and using the rotation matrices as well, but I must have done something wrong.

Thank you,

F

Answer 1

[Matt J]

Once you find the axis where the 2 planes intersect, you can use this FEX file

http://www.mathworks.com/matlabcentral/fileexchange/30864-3d-rotation-about-shifted-axis

[Francesco]

Hi,

That helped a lot.

However, it breaks when the rotation angle is 90 degrees I think. I get errors like

Warning: Matrix is singular, close to singular or badly scaled. Results may be inaccurate. RCOND = NaN. > In AxelRot at 94 In AxelRot at 63 In large_simulation at 193

What to do in this case? Ideally I would like to have a general method.

Thanks though!

Francesco

[Matt J]

I can't reproduce what you're seeing. I have no problem with 90 degree rotation angles:

    >> AxelRot(90,rand(1,3),rand(1,3))

    ans =

        0.5112   -0.3386    0.7900   -0.5113
        0.8570    0.1315   -0.4982    0.7010
        0.0648    0.9317    0.3574    0.1863
             0         0         0    1.0000

It would help if you copy/paste your exact error messages, as well as give me the data you're passing to AxelRot, i.e., deg, u, and x0. If you're using Syntax III, just give me a small selection of XYZold. I don't need the whole thing.