How to convert XYZ coordinate into nodes (like Xi, Yj) on the grid curve surface?

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Panida Kaewniam 2022-11-28

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https://ww2.mathworks.cn/matlabcentral/answers/1865458-how-to-convert-xyz-coordinate-into-nodes-like-xi-yj-on-the-grid-curve-surface

评论： Bjorn Gustavsson 2022-11-28

Hello everyone

I would like to get some help from people in this community here.

Now I have FE data as XYZ coordinates (fig1). This data is from retangular meshing of curve surface. It will be used to calculate for "central different method" as formula in fig2.

As I understand, I should to convert all nodes into Xi, Yj (fig 3). Then, I can calculate as equation above. For now, I have no idea how to convert it. I have searched the code or the related examples a lot,but I could not find.

Does anyone advise me how to solve it?

Thank you in advance

Panida

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Answer 1

Bjorn Gustavsson 2022-11-28

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https://ww2.mathworks.cn/matlabcentral/answers/1865458-how-to-convert-xyz-coordinate-into-nodes-like-xi-yj-on-the-grid-curve-surface#answer_1114028

Are you looking for something like this:

xy2sn?

HTH

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Panida Kaewniam 2022-11-28

Thank you for promt response.

It looks similar what I am looking for. But the xy2sn needs to find centerline of X and Y ( the XY data from the function). My data is not from any function, It is along geometry. Is there another solution?

Bjorn Gustavsson 2022-11-28

Well if that doesnt suit you, perhaps any of the triangularization-based tools on the FEX could be used or adapted: trigradient2, trigradient or gradient-for-scattered-data.

HTH

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