Assessing the regularity of 3D triangular mesh tessellation using a topological structured pattern

This paper presents a new approach for assessing the regularity of a 3D triangular meshed surface. Contrary to other standard methods, our method does not require the computation of any triangle features; it is based exclusively on topological properties, defined at the triangular facet's neighborhood, and exhibits intrinsic scalability. This approach is validated through experiments conducted with a real triangular mesh surfaces. A comparison with standard mesh regularity criteria further confirmed the validity of our method.