Abstract: A rectuirement for Mesh deformation is to preserve local geometric detail. Laplacian mesh editing can meet this rectuirement, but Laplacian coordinates is not a accurate form to describe the local detail. This paper defined the Laplacian coordinates through mean value coordinates. First projects 1-ring of a vertex onto tangent plane, then constructs Laplacian coordinates use the mean value coordinates of the vertex. The result shows that this definition is accurate to describe local detail.

Key words: Mesh deformation, Laplacian mesh editing, Mean value coordinates, Geometric detail preserving