In order to compute texture atlases with low stretch and hardly visible texture seams existing texture mapping tools pose high demands on the quality of surface representations like consistent orientation, watertightness, or manifoldness which many models commonly used in day-to-day modeling practice fail to meet. In this paper we propose an approach that bridges the gap between requirements of high quality texture mapping tools and poor mesh connectivity of models used in practice. In the spirit of classical two-part mapping an intermediate proxy surface is created that can be processed by high quality texture mapping tools. The texture signal is transfered to the original geometry using a novel mapping technique. Avoiding a modification of the original geometry typical problems of mesh repairing approaches like approximation errors or feature corruption are circumvented. As our method poses almost no demands on connectivity it can also be applied to point clouds. Contrary to classi...