Deviation Estimating of Curves and Surfaces in Wavelet Transform

In this paper,deviation model discrete methods are presented to estimate the deviation between the low and high resolution curves and surfaces in wavelet transform.First,deviation curve is defined,and the deviation curve discrete method is presented: discrete the curve by the arc error bound,and then using the discrete points to estimate the deviation.Meanwhile,the curve method is also extended to surface deviation estimating.Deviation surface is defined,and the deviation surface discrete method is presented to estimate the deviation of low resolution surfaces.The experimental results demonstrate that the methods in this paper not only can estimate the deviation between the high resolution model and the low resolution model which are after n times wavelet transform,but also can improve the accuracy by reducing the error bound during model discrete.