Distance bound for control mesh approximation The distance between a CCSS patch S and its control mesh is bounded as Cheng et al.2006] maxS(u,)-F(w,v)‖≤C(n)M (u,v)EQ C(n)is a constant that only depends on valence n M is thethe second order norm of 2n+8 control points of S 2n+1 2m+8 ■For regular patches, C(4)=1 3 n+6 2n+3 2n+2Distance bound for control mesh approximation The distance between a CCSS patch and its control mesh is bounded as [Cheng et al. 2006] ◼ is a constant that only depends on valence n ◼ is the the second order norm of 2n+8 control points of ◼ For regular patches, S C n( ) M S (4) 1 3 C = ( , ) max ( , ) ( , ) ( ) u v u v u v C n M S F−