Reference coordinate system of stereographic projection

[Frank Niessen]

Hi MTEX community, 

I would like to plot some irrational habit planes of a martensitic transformation in a stereographic projection, resulting in something like this: 

 For this I am defining the habit plane normals as Miller objects and plot them with the plot command. To simplify my problem I do this here with a rational 110 Miller plane normal in a cubic crystal:

plot(Miller(1,1,0,CS,SS),'labeled')

Now the problem that I am facing is that I would like to have, as shown above, a stereographic projection in which not the cube axis, but the 110 cube orientations form the coordinate system of the projection. In theory I could get there by rotating my Miller object:

plot(rotation('Euler',0,0,-45*degree)*Miller(1,1,0,CS,SS),'labeled')

The problem now is that the label of my Miller object changes to 100, meaning that I have changed my grain orientation rather than the reference system. Is there a way of rotating the specimen coordinate system or redefining the reference system of the stereographic projection instead? I also considered using the plotPDF function, but it does not really do the job with irrational Miller indices. It might also be that I am missing an obvious point here, in which case I would be grateful to be sent on the right track.
I would be happy for your input. 

Best wishes
Frank

[Luiz Morales]

Hi Frank

I am not sure if that will work, but if you define a new reference frame with vector3d, considering your symmetry

new_rf = [vector3d(1,0,1) vector3d(-1,0,1) vector3d(0,1,0)]

would that do what you want?

best

Luiz

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[Frank Niessen]

Hi Luiz, 

thanks for the suggestion, that is in essence what I am looking for. I am however not sure how to set such reference in the plot command. Again, I could rotate the Miller object by that reference, but that changes the Miller indices rather than the reference of the stereographic projection. If you know how to apply this reference frame that would help me further. 

Best wishes
Frank

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[Frank Niessen]

Hi again, 

could anyone from the MTEX developer team let me know if such a change of plotting convention is at all possible with the MTEX syntax?

Best wishes
Frank

[Ralf Hielscher]

Hi Frank,

unfortunately this is currently not possible. We will try to implement this in a future release.

All the best,

Ralf.

[Frank Niessen]

Thank you!