曲面重构和均匀B样条小波分解研究

Research on Curved Surface Reconstruction and Decomposition with Uniform B-spline Wavelet

针对三坐标测量机点云数据的特点,进行相应的数据预处理,通过对测量数据的分层、排序,采用重采样技术生成四边域网格,实现均匀B样条曲面插值。根据多分辨分析理论,采用B样条小波,对称沿拓的方法,对重构曲面进行小波分解,获得多级逼近曲面,便于实现实时传输和数据压缩。开发了相应的模块,利用写引擎将构造和分解的曲面保存为IGES文件,可以直接导入商用三维CAD软件中进行后续处理,具有较好的工程应用价值。

Considering the peculiarity of cloudy data measured by three-coordinate measuring machine, the data pre-treatment was correspondingly adopted. By delaminating and ordering the measured data points, and constructing rectangle grids using re-sampling technique, uniform B-spline curved surface interpolation was realized. Based on the theory of multi-resolution analysis, applying the methods of Bspline wavelet and mirror expansion to decompose the reconstructed curved surface with wavelet, multi-rank approximate curved surfaces can be obtained, that is easy to transmit and to compress data in real time. The corresponding modules were tapped, the reconstructed and decomposed curved surfaces can be saved as IGES files using writing engine, which can be introduced directly in commercial 3-D CAD software for further processing with better engineering applied value.