How to make rectangular mesh from Points cloud

Does somebody know, how to simply and theoretically generate a rectangular mesh from a Points Cloud defined by 3D coordinates (x,y,z)?

Regards

Amine

Answer 1

[Katie]

You can use a combination of meshgrid and griddata to do this. In the code below, I'm assuming that x is a column vector with the x coordinates of all of your points, y is a column vector with the y coordinates of all of your points, and z is a column vector with the z coordinates of all of your points.

dx=linspace(min(x),max(x),n);%n is the number of columns you want in your grid
dy=linspace(min(y),max(y),m);%m is the number of rows you want in your grid
[xq yq]=meshgrid(dx,dy);
grid=griddata(x, y z, xq, yq, 'linear');%linear is the type of interpolation used 

The documentation for griddata also provides more examples: https://www.mathworks.com/help/matlab/ref/griddata.html

[darova]

It makes sense. I voted for your answer

[Amine Bohi]

This is not exactly what I want to do. the rectangular mesh I want to make from my points cloud should be described by a FV structure (rectangular faces, vertices). Because when I do griddata it returns a nxn matrix and not a mesh structure. Thanks

[darova]

You can create faces manually. What is the problem?

[Amine Bohi]

How can I do that ?

[darova]

Maybe such function exists already. Try fsurf2patch