Translate 3D coordinates on a known surface

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Alberto Acri 2023-1-14

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1894015-translate-3d-coordinates-on-a-known-surface

评论： Matt J 2023-1-17

Hi. I would like to know if there is a way to translate each 3D coordinate (blue dots) such that they lie on a known red surface.

Below is the code:

Nodes_XFix = load("Nodes_XFix.mat");

Nodes_XFix = Nodes_XFix.Nodes_XFix;

Faces_XFix = load("Faces_XFix.mat");

Faces_XFix = Faces_XFix.Faces_XFix;

coord_XMov = load("coord_XMov.mat");

coord_XMov = coord_XMov.coord_XMov;

figure

plot3(Nodes_XFix(:,1), Nodes_XFix(:,2), Nodes_XFix(:,3),'r.','Markersize',12)

hold on

trimesh(Faces_XFix(:,:),Nodes_XFix(:,1),Nodes_XFix(:,2),Nodes_XFix(:,3),'EdgeColor','r','Linewidth',1,'Facecolor','w')

plot3(coord_XMov(:,1), coord_XMov(:,2), coord_XMov(:,3),'b.','Markersize',12)

hold off

grid off

axis equal

xlabel('x')

ylabel('y')

zlabel('z')

view([15,50,30])

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Alberto Acri 2023-1-15

Do all the blue points have to translate as a single rigid body, or do they all translate independently of each other?

Each blue dot must move independently of each other.

If the latter, which point on the red surface should a blue point move to? The closest point?

Yes, each blue dot must move across the red surface to the nearest point.

Matt J 2023-1-15

inputVariables.mat

In future, please consolidate your variables into a single .mat file, as I have done here. This reduces the amount of work needed for us to download and import all your variables.

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采纳的回答

Matt J 2023-1-16

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1894015-translate-3d-coordinates-on-a-known-surface#answer_1149795

This FEX download seems to do what you want. I haven't used it myself, though.

https://www.mathworks.com/matlabcentral/fileexchange/52882-point2trimesh-distance-between-point-and-triangulated-surface

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Alberto Acri 2023-1-17

在 MATLAB Online 中打开

Yes it works!

I also tried with another dataset (closed surface) however it gives me the following "warning":

Warning: Some input points are not referenced by the triangulation.

Do you have any idea how to solve it?

Matt J 2023-1-17

I don't. Like I said, I've never used it before. It might help to see the complete warning message, though.

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更多回答（1 个）

Matt J 2023-1-15

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1894015-translate-3d-coordinates-on-a-known-surface#answer_1149050

在 MATLAB Online 中打开

[~,I]=pdist2( Nodes_XFix, coord_XMov,'euc','Smallest',1)
coord_XMov = Nodes_XFix(I,:);

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Alberto Acri 2023-1-16

Thank you for your reply @Matt J! I observed that each blue point moves to the nearest red point.

Is there a possibility to move the blue points also on the surface of the triangles (red mesh) and not only on the vertices ? See, for example, the green dots in the figure below: