基于线性假设的多分辨光顺精度控制

在二进小波光顺算法和任意分辨率小波光顺算法研究及软件编制的基础上,分析研究了多分辨光顺过程中的精度控制问题.该方法对给定的任意光顺精度,通过线性假设预估控制精度对应的小波尺度,并通过迭代消除线性假设带来的误差,从而能够确保在满足光顺精度的前提下,用最少的控制顶点确定光顺曲线,并获得最好的光顺效果.整个光顺过程不存在插值与逼近等近似算法,光顺后的曲线仍然能够进行精确重构,符合小波分析的思想和精髓. 

Linear Hypothesis Based Accuracy Control for Multi-Resolution Fairing

Based on the researches of dyadic wavelet fairing algorithm, arbitrarily resolution wavelet fairing algorithm and software, accuracy control of multi-resolution fairing for general curves was studied in this paper. According to given fairing accuracy, corresponding wavelet scale was forecasted by linear hypothesis and the consequent error was eliminated by iteration process, so the primitive curve could be faired preferably and determined by a minimum of control vertices under the demand of fairing accuracy. Because interpolation and approximation were never used in the process of fairing, faired curves still could be reconstructed accurately and this meets the kernel concept of wavelet analysis.