1. Simplification and improvement of mesh quality using a statistical approach and a bending energy (a)Original “ horse ” model (96966 triangles) and a luminosity histogram, (b)Simplified model produced accordingly to the use of the bending energy (10% of the original number of triangles) and the luminosity histogram, (c)Simplified model produced accordingly to the use of the bending energy and the statistical approach (9% of the original number of triangles) and the luminosity histogram, (d)Simplified model produced accordingly to the use of the bending energy and the statistical approach (3% of the original number of triangles) and the luminosity histogram.

2. Simplification and improvement of mesh quality using a statistical approach and a bending energy (Cont.) (a) Fragment of the initial “ Horse ” mesh (b) Fragment of the mesh after statistical processing (c) Fragment of the mesh after simplification (40% of the initial mesh) (a) (b) (c)

3. Smoothing of Point Sets (a) The original “Monk” model (courtesy of A. Belyaev and Y. Ohtake of Max-Planck-Institut für Informatik). Model size: 29795 points. (b) Smoothed model after one iteration based on 10 points interpolation