Texturing of multi-resolution meshes with basis meshes

A well known problem in the field of multi-resolution meshes is attribute preservation. To simplify mesh geometry while surface attributes, like texture information, remain stable, the textures have to cover several parameterized triangles (mesh patches). In such cases we have to simplify the surface parameterization along with the geometrical simplification. To minimize visible deviation while simplifying, we need a suitable parameterization and must avoid drastic changes along the patch borders. In this paper we present an algorithm that creates surface patches for multi-resolution meshes. These patches are parameterized to share textures and normal-maps for all possible mesh approximations. To create the patches, we simplify the mesh to a low resolution triangle mesh (basis mesh) whose triangle structure is projected to the original surface in an refinement step. The projected basis triangles are used to build the surface patches. These patches are finally parameterized with shape-preserving weights