THE CONSTRUCTION OF A NEW CLASS OF ORTHOGONAL FUNCTIONS OVER TRIANGULAR DOMAIN
Ruixia Song · Xitong kexue yu shuxue · 2008
V-system is a complete orthogonal system on L_2[0,1],which was constructed in 2005 by the author of this paper.V-system of degreeκis composed of piecewiseκ-order polynomials,has multiresolution property,and is a generalization of Harr wavelet.Based on the V-system and by using finite terms of V-series,it can be realized to reconstruct the common geometric models exactly and without Gibbs phenomena which can not avoid in the case of Fourier or continuous wavelets in CAGD.In this paper,the V-system of degreeκover triangular domain is considered.The obtained results can be used for the analysis of frequency spectrum for 3D complex group of geometric models.