Least Squares Conformal Maps for Automatic Texture Atlas Generation, Bruno Levy, Sylvain Petitjean, Nicolas Ray, Jerome Maillot, Siggraph 2002. A technique for producing a conformal mapping of a set of polygons. No guarantees about folding. Very similar to Desbrun's technique for conformal mapping, but more expensive to compute. Contains methods to split up the mesh into sections and arrange them in the texture space.
Equations to convert this to a standard matrix solution.