Problem: We would like to be able to represent both smooth and sharp reconstructed surfaces.

Solution:

1. Estimation of topological type: (do the surface reconstruction from unorganized points)
   
   
2. Mesh optimization: (Reduce the number of polygons and relax the surface to fit the data better)
   
   
3. Piecewise smooth surface optimazation:
   
   
   • detect sharp features in the model.
     
   • fit a subdivision surface with creases.
     

Subdivision surfaces:

• Motivation
  
  
• Subdivision surfaces definition
  
  
• Pros
  
  
• Cons