Mean-Value Laplacian Coordinates for Triangular Meshes

This paper presents an effective approach for triangular mesh editing, based on mean-value laplacian coordinates for triangular meshes. We discretize the Laplace operator using mean value weights instead of uniform weights for fine approximation qualities. The results are obtained by solving a quadratic optimization problem, which can be efficiently minimized by solving a sparse linear system. Moreover, the quadratic energy function is assigned to each triangle rather than each vertex, which is more convenient to add control items. The result shows that our method is effective enough for common applications.