Laplacian smoothing


Laplacian smoothing is an algorithm to smooth a polygonal mesh. For each vertex in a mesh, a new position is chosen based on local information and the vertex is moved there. In the case that a mesh is topologically a rectangular grid then this operation produces the Laplacian of the mesh.
More formally, the smoothing operation may be described per-vertex as:
Where is the number of adjacent vertices to node, is the position of the -th adjacent vertex and is the new position for node.