Control mesh approximation and error 无法显示该图片 Control mesh is a piecewise linear approximation to a CCSS Approximation error:the maximal distance between a CCSS and the control mesh Distance between a CCSS patch S and its mesh face F(or control mesh)is defined as ()-Fu is unit square =[0,1]x[0,1] S(u,v)is Stam's parametrization of S over F(u,v)is bilinear parametrization of F over Control mesh approximation and error Control mesh is a piecewise linear approximation to a CCSS Approximation error: the maximal distance between a CCSS and the control mesh Distance between a CCSS patch and its mesh face (or control mesh) is defined as ◼ is unit square ◼ is Stam’s parametrization of over ◼ is bilinear parametrization of over S( , ) u v S F(,) u v S F F ( , ) max ( , ) ( , ) u v u v u v S F− = [0,1] [0,1]