G^2连续的A级曲面精确重构及光顺技术研究

Research on precise reconstruction and smoothing technology of the G^2 continuous class-A surface

A级曲面重构中拟合高精度曲面过程复杂繁琐,需要进行大量运算,且曲面拟合后没有保留参数特征,无法编辑修改,进而造成曲面逆向重构工作反复进行。针对上述问题提出一种高效准确的方法进行曲面重构。根据K-邻域搜索的离散点云,采用直线、圆弧等多方式分段插值拟合出曲率连续过渡的曲线,保留参数特征,方便修改;再利用NURBS理论拟合曲面,通过调整控制点、权因子和节点矢量等因素,确保曲面拟合精度和曲率连续过渡。经过实例分析,此方法拟合A级曲面快速准确,并保留了曲面形状参数,提高了曲面重构的精度和效率。

Matching high accuracy surface process in Class-A surface reconstruction is complicated. It needs a large number of operations ,and cannot modify due to do not retain parameters after the surface fitting. There exist many problems which causing surface reverse reconstruction work repeatedly, therefore the thesis put forward a kind of accurate and efficient method for surface reconstruction. According to the discrete point cloud based on K-neighborhood search, using the multi-mode subsection interpolation fitted curvature continuous curves such as line, are and other ways, retain parameter characteristics to modify conveniently, and then using the NURBS theory to fit surface, ensure the surface fitting accuracy and curvature continuous transition though adjusting the control points and the node vector or other factors. Through the analysis of case, the fitting method of Class-A surfaces is quick and accurate, it retains the shape parameter and improve the accuracy and efficiency of surface reconstruction.