This paper studies the structure-based format to enhance the general principles of ant colony; vanishing moments are given based on structural characteristics of ant colony method. Shows the structure based on ant colony lifting scheme the basic principles of main advantages of ant colony is based on the need of design freedom. Therefore, this problem of vanishing moments for the proposed method for constructing ant colony, and gives a first-order and fourth-order vanishing moments of the ant colony instance. The ant colony can be easily used to solve equations, approximation function, can replace traditional generation ant colony to solve the problem, and achieved very good results. Average interpolating scaling function is constructed with symmetric interpolating scaling function, and the two scaling functions are given the relationship between the derivatives, which provides a convenient approach for the interpolation, and greatly improve accuracy.