Limit mesh approximation 口Limit mesh:push the control points to their limit positions. It inscribes the limit surface 口An interior mesh face F→a limit face F→a surface patch S We derive a bound on the distance between a patch S and its limit face F(or limit mesh)as max S(u,v)-F(u,v)<B(n)M (u.)e B(n)<C(n)means that the limit mesh approximates a CCSS better than the control mesh Limit mesh approximation  An interior mesh face → a limit face → a surface patch  We derive a bound on the distance between a patch and its limit face (or limit mesh) as ◼ means that the limit mesh approximates a CCSS better than the control mesh F F S  Limit mesh : push the control points to their limit positions.  It inscribes the limit surface ( ) ( ) n C n  S F ( , ) max ( , ) ( , ) ( ) u v u v u v n M   S F− 