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This article deals with a new Mesh3D algorithm used for triangulation of point clouds obtained from real 3D objects via optical scanning systems. The algorithm is characterized by a high level of automation. Triangle meshes obtained by using this algorithm are of a better quality than those created through the application of popular algorithms. Procedures used for areas with large shape gradients allow us to obtain a higher accuracy of a geometric object representation. It is also a very efficient method even when the procedure of point clouds smoothing is applied initially. The implementation of this kind of a complex mesh quality assessment system enables us to improve the smoothness and continuity of the mesh, which allows us to obtain more realistic and visually better reconstructions of objects.