Wolfram Research

NonConvexHullMesh

Contributed by: Jon McLoone

Source Notebook

Generate a mesh geometry from points without including exterior concave perimeter areas or holes

ResourceFunction["NonConvexHullMesh"][points,sensitivity]

generate a MeshRegion from points excluding triangles which are smaller than sensitivity.

Examples

Basic Examples

NonConvexHullMesh generates a mesh from points while preserving the results non-convex shape:

In[1]:=
points = CompressedData["
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"];
In[2]:=
ListPlot[points]
Out[2]=
In[3]:=
ResourceFunction["NonConvexHullMesh"][points, 0.07]
Out[3]=

Scope

Increasing the sensitivity value, causes small non-convex regions to be included:

In[4]:=
ResourceFunction["NonConvexHullMesh"][points, 0.1]
Out[4]=

Three dimensional data is supported:

In[5]:=
points3D = CompressedData["
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"];
ListPointPlot3D[points3D]
Out[6]=
In[7]:=
ResourceFunction["NonConvexHullMesh"][points3D, 0.07]
Out[7]=

Properties and Relations

For large values, the result is equivalent to ConvexHullMesh:

In[8]:=
points = CompressedData["
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"];
In[9]:=
ResourceFunction["NonConvexHullMesh"][points, 1]
Out[9]=

Possible Issues

Setting the sensitivity value too low will result in holes in the MeshRegion:

In[10]:=
points = CompressedData["
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ResourceFunction["NonConvexHullMesh"][points, 0.05]
Out[11]=

If the data is not reasonably dense over the whole region it may not be possible to choose a suitable sensitivity which prevents holes but also represents small exterior non-convex areas.

Resource History