任意分辨率小波光顺的光顺精度分析

Precision analysis of arbitrary resolution wavelet fairing

在多分辨光顺算法研究及软件编制的基础上,针对多分辨光顺的精度控制问题,分析研究了光顺尺度对光顺精度的具体影响。该方法以半圆曲线作为标定对象,揭示了光顺尺度的选择与光顺精度之间的内在联系。实验结果表明,光顺尺度越小,光顺误差越大;多分辨光顺能够以较少的点表示原始曲线,有较强的数据压缩能力;曲线曲率较大的地方,更容易产生光顺误差。

For precision control problem of multi-resolution fairing, specific impact of fairing precision caused by fairing scale was studied on the basis of the researches of multi-resolution fairing algorithm and software. Taking semicircular curve as a calibration object, this method revealed the internal relations between selection of fairing scale and fairing precision. The experimental results show that the smaller the fairing scale is, the larger the fairing error is. Secondly, mufti-resolution fairing can reflect original curves with less control vertexes and own a strong ability of data compression. Finally, fairing error would be larger at the place of curves with larger curvature.