Abstract: This paper deduced a kind of problems of functional extremals from the mechanical engineering, design of the shape of antenna and analysis of the measured datas. The paper also worked out an efficint numerical method to this kind of problems. We gained very good results in applying the method to both of the profile modeling and properties analysis of a kind mechanical parts, It is also flexible applying the method to different Smooth Curve-fitting.

Key words: 仿形, 曲线拟合, 设计, 条件泛函极值