How to visualize fiber orientation tensors

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MrBlub 2013-5-31

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https://ww2.mathworks.cn/matlabcentral/answers/77581-how-to-visualize-fiber-orientation-tensors

评论： Mouni Kumar Chittem 2022-4-27

Hi people,

Let's say I have a huge amount of fiber orientation tensors showing the probability of fiber alignment in the specified principal direction within a part. Since the fiber orientation tensor in the first principal direction is the most useful result to view in my analysis, I am trying to find a way to visualize the tensors using a user-defined geometry (e.g. cylinders).

Many thanks in advance for any help!

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MrBlub 2013-7-17

编辑：MrBlub 2013-7-17

在 MATLAB Online 中打开

Matt Kindig, thank you very much for your reply!

It's not that easy I'm afraid. Here is what I got:

1. I can export 3x3 matrices with fiber orientation values for a specific point on my CAD-part. For instance I can create a table like the following:

Point(x,y,z)       Tensor (3x3 matrice)
0,0,0               0.78 0.1 0.05, 0.19 0.2 0.01, 0.03 0.4 0.02
...

where one line represents one fiber-orientation-state to be visualized.

2. MatLab first needs to calculate the eigenvectors and eigenvalues of tensor (each line in the table).

3. Having the eigenvectors and eigenvalues calculated, I want MatLab to visualize the orientation at each point(x,y,z) in the table using an 3D-ellipsoid.

4. Besides that it would be also of great benefit for me to automatically generate a picture (like the one above), showing a cylinder aligned in the first principial direction (main direction of the ellipsoid) for each point(x,y,z) in the table.

Hope this helps! Thank you very much for any hint on that!

Matt Kindig 2013-7-24

Do you want the projection numerically or visually? That is, do you want the coordinates of the outline of the projected ellipsoid onto the plane, or do you want to visualize the projection?

Mouni Kumar Chittem 2022-4-27