How to get the curvature of a meshed surface?

Hello all,

I have the following problem:

I import a body as .stl into Matlab and mesh it. Then I calculate the normal vectors and sort out vertical surfaces on the basis of these, so that I finally get a pure surface (shown below).

This surface is described by the points from the mesh (in this case by the points on the edge). I know these points. I have an Nx3x3 array for verticies. Each row of the array describes one facet.

Now I want to calculate and display the curvatures for this surface. Unfortunately, I don't know how to do this in the most sensible way.

The files that already exist in the File Exchanger for this purpose usually only work with a surface that was created with meshgrid.

Can anyone help me here?

Greetings

Tom

Answer 1

[darova]

Here are some ideas:

Simple way:

Precise way:

[Tom Engels]

Hello darova,

thank you very much for your support.

How do you get from the radius to the curvature?

k = 1/r ?

Do you also have an idea how I can select suitable pairs of points for the calculation? The calculation only makes sense between neighbours.

Many greetings

Tom

[darova]

I derived formula from this (made a mistake before)

• Do you also have an idea how I can select suitable pairs of points for the calculation? The calculation only makes sense between neighbours.

Use griddata to calculate matrix (you will have neghbours)

[Tom Engels]

Thank you darova, I will try your approach.

Regards Tom

[darova]

Use surfnorm to find normal vectors

[Tom Engels]

Thank you!

[darova]

you are welcome