基于交互的B样条曲面重建与误差计算

基于三角网格模型的B样条曲面重建技术得到深入发展，计算与显示重建后的B样条曲面与原始测量三角网格之间的误差对分析曲面重建品质有重要作用。一种较为实用的B样条曲面重建方法是对三角网格模型进行四边界区域划分后进行栅格式采样，再根据采样点进行B样条曲面拟合。针对这种重建方法，研究了一种建立三角网格顶点与四边界区域对应关系的算法，再用离散的方法计算点到对应曲面的距离误差，最后用线性插值方法实现误差彩色．云图的显示。

B-spline Surface Reconstruction and Error Calculation Based on Interaction

The technology of B-spline surface reconstruction based on triangle mesh model has been developed into depth. As a result, computing and visioning the error between the B-spline surface and the triangle mesh of measured data play significant role in analyzing the quality of surface reconstruction. There is an efficacious approach to reconstruct B-spline surface, which performs as following: firstly grid-sampling tile with four-edge resulting from segmentation of triangle mesh model, and then fitting the B-spline surface in accordance with these sampling points. According to this method of reconstruction, this paper exploits a novel algorithm mapping the vertices of triangle mesh with tiles, calculates the error of distance between points and corresponding surface in succession, and finally visions the chromatic cloud picture with linear interpolation.