Abstract:

This paper is devoted to the blending problem of multiparametric algebraic surface families. We extend the definition of geometric continuity and the blending theory for algebraic surfaces to multiparametric algebraic surface families, and finally apply  the comprehensive Grbner system method to blend multiparametric algebraic surface families. Our results show that the computed blending surface families blend the input surface families precisely.

Key words: multiparametric algebraic surface family, blending, geometric continuity, comprehensive Grbner system