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How to calculate a curvature of 3D isosurface?

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zilorina on 15 Jan 2020
Commented: darova on 17 Jan 2020
I have isosurface(X, Y, Z, W, level) in 3D and I would like to calculate its curvature. So far I was using the following code:
This code (as well as other analogical codes that I saw on fileexchange) will take the triangulation of my surface as an input parameter (i.e., the mesh). But I was wondering maybe there is a simpler way to calculate the curvature of the surface since I have a smooth surface that has been already fitted into my triangulated point cloud?


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Answers (1)

darova on 15 Jan 2020
You can use surfnorm to extract normal vectors from surface
Choose close enough vectors to calculate curvature
Angle between vectors:
Distance between points: L
Curvature radius:


zilorina on 17 Jan 2020
It is more complicated for 3d surface. Indeed you would need to calculate normals on triangular mesh (i.e., first, for triangles, then for vertices). I do not think surfnorm works for triangular mesh (isosurface). Then the problem will consist of calculating pricncipal curvatures (minimum and maximum curvatures out of all directions) from the second fundamental form.

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