Point Sampling over Regions: New in Wolfram Language 11

Point Sampling over Regions

Version 11 includes uniform point sampling over regions and reconstruction of surfaces from points.

The Stanford bunny.

In[1]:=

mesh = ExampleData[{"Geometry3D", "StanfordBunny"}, "Region"];

In[2]:=

MeshCellCount[mesh]

Out[2]=

Downsample the mesh.

In[3]:=

pointcloud = RandomPoint[mesh, 10000];

In[4]:=

Graphics3D[{PointSize[Small], Point[pointcloud]}]

Out[4]=

Reconstruct a smaller surface from points.

In[5]:=

ListSurfacePlot3D[pointcloud, MaxPlotPoints -> 40, Axes -> None, 
 Boxed -> False, Mesh -> None]

Out[5]=

In[6]:=

ListSurfacePlot3D[pointcloud, MaxPlotPoints -> 40, Axes -> None, 
 Boxed -> False, Mesh -> None];
MeshCellCount[DiscretizeGraphics[%]]

Out[6]=