Laplacian Smoothing

Laplacian smoothing can be used in the smoothing of the results of topology optimization.

The laplacian_smoothing statement controls the iteration number of when the Laplacian smoothing will be performed and the feature angle threshold to preserve normal discontinuity at corners.
Figure 1. Parameter File for Smoothing Result
#general parameters
input_file            surf
output_file           surf.stl
output_code           3
isosurface            1  3  0.300 

#specific parameters
laplacian_smoothing   10  30.000  1
Laplacian smoothing creates smooth boundary iso-surface by entering 1 as the 3rd argument of the laplacian_smoothing parameter statement. Comparing Figure 2 and Figure 3, notice that Figure 3 is almost ready for casting.
Figure 2. Fix Boundary of Iso-Surface


Figure 3. Smooth Boundary of Iso-surface


The advantages of the laplacian_smoothing statement in OSSmooth include:
  • The flexibility of controlling the number of smoothing iterations to obtain different degrees of smoothing (possibly a smoothing quality ready for casting). Normally, the iteration number ranges from 5 to 20.
  • Smooth boundary of iso-surface with feature angle constrain are seamlessly incorporated into the smoothing process, which is more challenging in a pure CAD system.