From BlenderWiki
Laplacian Deform
Mode: Any mode
Panel: Modifiers
Description
The Laplacian Deform modifier allows you to pose a mesh while preserving geometric details of the surface.
The user defines a set of 'anchor' vertices, and then moves some of them around. The modifier keeps the rest of the anchor vertices in fixed positions, and calculates the best possible locations of all the remaining vertices to preserve the original geometric details.
This modifier captures the geometric details with the uses of differential coordinates. The differential coordinates captures the local geometric information how curvature and direction of a vertex based on its neighbors.
Note
You must define a Anchors Vertex Group. Without a vertex group modifier does nothing.

Options



 Repeat
 Repetitions iteratively improve the solution found. The objective of the system is to find the rotation of the differential coordinates preserving the best possible geometric detail. The system retains details better if more repetitions are used. A small Repeat number is recommended, as the system takes a long time to calculate each repetition.
Hints
If the mesh is dense, with a number of vertices greater than 100,000, then it is possible that the nonlinear optimization system will fail.




Examples
History
Laplacian Surface Editing is a method developed by Olga Sorkine and others in 2004. This method preserves geometric details as much as possible while the user makes editing operations. This method uses differential coordinates corresponding to the difference between a vector and the weighted average of its neighbors to represent the local geometric detail of the mesh.
See Also
Laplacian Surface Editing (Original paper)
Differential Coordinates for Interactive Mesh Editing