How to create a 3D non convex surface (helical ribbon) with a set of points?

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Nav R 2020-5-20

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评论： darova 2020-5-20

I have a set of points which define a helical ribbon. I want to know how to create a helical surface from these set of points. I can't use Delaunay Triangulation as it connects all the points and produces a cylinder which I do not want (I need a helical ribbon). Since, it is a non convex shape, I cannot use convex hull funtion either.

Here is an example of a helical ribbon:

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Answer 1

darova 2020-5-20

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在 MATLAB Online 中打开

Use surf

t = linspace(0,5*2*pi,100);
T = [t;t];
Z = [t;t+3]/5;
[X,Y] = pol2cart(T,T*0+3);
surf(X,Y,Z,'edgecolor','none')
light
axis vis3d equal

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Nav R 2020-5-20

Thanks a lot! Can't believe it's this easy.

Can I also know how to create a 3 D helix which has thickness as well?

darova 2020-5-20

Yes, use these equations of torus: LINK

Use meshgrid to create matrices for θ and φ

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Answer 2

Sean de Wolski 2020-5-20

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You could consider alphaShape. I'm not sure how it will handle the ribbon aspects though.

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Nav R 2020-5-20

编辑：Nav R 2020-5-20

I have tried using alphaShape already, but I'm not sure whether I used it right. I've adjusted the alpha radius to get this figure. It connect alternate points and creates a 'wider' helix which I don't want. It should have connected the nearby points to create a 'thinner' helix. I hope you understood.

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