Texture mapping approach for transforming arbitrary topology meshes to subdivision connectivity ones

This paper presents an original simple and fast approach that uses the technique of texture mapping inspired from computer graphics rendering field, to transform a genus-0 arbitrary topology triangular meshes to its equivalent that have subdivision connectivity, and precisely 1-4 meshes, so-called semi-regular meshes (Fig. 1). The meshes with such topology are useful and necessary for many applications, nevertheless an arbitrary given mesh usually doesn´t have such connectivity, therefore a transformation must be applied. Comparing our approach with those given in the literature, the proposed one is the simplest since it avoids the iterative process of parameterization and remeshing between the original mesh and the control one.