Elimination of Gibbs phenomenon in Computational Information based on the V-system

Present a novel method to reconstruct a group of geometrical models in computational geometric information processing based on the V-system. This method is probably used in the field of pervasive computing. The V-system of degree k, as a generalization of Harr wavelet function, is a new class of complete orthogonal functions in L₂[0,1]. It is composed of piecewise kth-order polynomials. Few people use the finite Fourier representation to reconstruct geometrical models because of Gibbs phenomenon. However, Based on the V-system, representation of a group of geometrical models can be realized. This means the frequency spectrum analysis can be introduced into the field of geometrical information processing.