Clear Filters
Clear Filters

Triangulate a non-convex point set

4 views (last 30 days)
Oliver
Oliver on 21 Nov 2013
Edited: Sean de Wolski on 15 Oct 2014
I have a set of points in 3D that define the surface of a non-convex object, I would like to generate some kind of triangulation of these points so as to plot this surface. Any ideas how I might do this?
The convex hull won't work, because my points are on the surface of a non-convex body. I'm aware that the problem of defining a non-convex hull is ill-posed and has no unique solution. One way to go is the alpha-shape, and there is a file on the FEX that does this, but I was wondering if there is another (better) way?
  9 Comments
Antonio
Antonio on 3 Mar 2014
Sorry, you're right, it works. But it's not perfect.
In my case, if I set a low radius, some areas are not shown in the triangulation. But if I set a higher radius, the non-convex edge is distorted.
You can check this problem using my previous attachment.
I hope you could help me a bit...
Sean de Wolski
Sean de Wolski on 15 Oct 2014
Antonio, the R2014b alpha shape provides the alpha spectrum so you can see all radii that affect the hull.

Sign in to comment.

Answers (1)

Sean de Wolski
Sean de Wolski on 15 Oct 2014
Edited: Sean de Wolski on 15 Oct 2014
As of MATLAB R2014b, there is now a 2d and 3d alphaShape tool built into MATLAB.

Categories

Find more on Triangulation Representation in Help Center and File Exchange

Products

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!