Level Set Methods

 
 

Level Sets

Book and reference site at http://math.berkeley.edu/~sethian/level_set.html
 

What are level sets ?

Evolution of a front subject to forces and constraints through the construction of a 3D/4D surface.
dS/dt = F. N    becomes    du/dt = F. | grad u |
 


   The original front     The level set function
Front lies in xy plane   Front is intersection of Surface and xy plane
 
 

Interest of such a method?

Merge, split, tear, resampling, ....

Principle:  
 
 

How do we reconstruct a level set ?

Marching cubes or

Fast marching technique 
 
 
 

 What are they used for ?

  
   


 
 

  Face    Tori     Statue
 
 
 
 
 
 
 
 
 

Eric Amram, Feb 1998, MIT 6.838 Advanced Topics in Computer Graphics - Prof. Seth Teller.