3d-surface with boundary using delaunayTriangulation

Hello, i have a point cloud in Matlab and want to plot the surface of it with delaunayTriangulation. The problem is that the triangulation always returns a "body", meaning a convex hull. But my point cloud is only a part of a convex body. Is it possible to make the triangulation stop at sharp edges? I added exemplary pictures with the current surface and the surface how i want it to be.

Thanks

[KSSV]

Is your surface a structured or unstructured grid? How you have the data?

Answer 1

[Walter Roberson]

No, it is not possible to have that kind of triangulation stop at sharp boundaries. That kind of triangulation is not appropriate for finding surfaces embedded in a 3d point cloud.