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Abstract

Surface editing operations commonly require geometric details of the surface to
be preserved as much as possible. We argue that geometric detail is an
intrinsic property of a surface and that, consequently, surface editing is best
performed by operating over an intrinsic surface representation. We provide
such a representation of a surface, based on the Laplacian of the mesh, by
encoding each vertex relative to its neighborhood. The Laplacian of the mesh is
enhanced to be invariant to locally linearized rigid transformations and
scaling. Based on this Laplacian representation, we develop useful editing
operations: interactive free-form deformation in a region of interest based on
the transformation of a handle, transfer and mixing of geometric details
between two surfaces, and transplanting of a partial surface mesh onto another
surface. The main computation involved in all operations is the solution of a
sparse linear system, which can be done at interactive rates. We demonstrate
the effectiveness of our approach in several examples, showing that the editing
operations change the shape while respecting the structural geometric detail.