Complete Orthogonal V-System and It's Application in Geometrical Information Reconstruction

With the consideration of the need of frequency spectrum analysis to geometry information,a new method to reconstruct graphic groups in CAGD is proposed with a new class of complete orthogonal functions in L₂［0,1］（called V-system）.V-system consists of piecewise polynomials with mult-i level discontinuity.It has property of mult-i resolution and compact local support.Based on the V-system,a new algorithm to reconstruct geometry information is designed,which can effectively eliminate the Gibbs phenomenon.The experimental results show that the new reconstruction method is useful for frequency spectrum analysis of geometry information.