Multiresolution analysis of arbitrary meshes, M. Eck, T. DeRose, T. Duchamp, H. Hoppe, M. Lounsbery, and W. Stuetzle. , Siggraph 1995, pg 173-182. This paper discusses more than just parameterization, but they do introduce a harmonic map parameterization as a sub-problem. Hence, this has become the paper to cite for a harmonic mapping of a mesh to the plane. This is essentially an edge-based method, which tries to minimize the square of the norm of the gradient of change in u and v.