Subdivision Algorithm for Wang-Said Type Generalized Ball Curves

With the parameter of L,Wang-Said type generalized Ball curves（WSGB）,represented a number of useful curves with an uniform expression．By using dual function,a novel explicit subdivision algorithm was given．Different with the traditional subdivision algorithms,this one avoids complicated computation by the matrix inversion and conversion of basis function．The algorithm can be efficiently achieved by multiply of subdivision matrix and vector of the vertices which leads to simple drawing of the curves．As a special case,we show Wang-Ball,Said-Ball curves can have unified subdivision matrix by choosing special parameter L．