CSIOR: An Algorithm for Ordered Triangular Mesh Regularization

3D scanners generate irregularly distributed cloud of points in most of the cases. Dealing with such data, often in the form of triangular meshes, requires a pre-processing step to regularize the triangle facets shape and size. In this paper, we propose CSIOR, a novel mesh regularization technique which is capable of producing quasi-equilateral triangles, and distinguished by two novel features, namely, its intrinsic ordered aspect and its preservation of the geometric texture of the surface (relief patterns). We evidence the superiority of our technique over current methods through a series of experiments performed on a variety of geometric textured surfaces.