The problem of the blending of the quadratic and thrice algebraic surfaces is transformed into the existence of the nonzero solution of some homogeneous linear equations.

• 摘要将一个二次曲面和一个三次曲面沿平面接口的拼接曲面的存在性转化为求三个多项式理想交的成员问题，进而化为一组齐次线性方程组的非零解的存在问题。