基于曲面片拼接的曲面重构算法  

Research on Surface Fitting Algorithm Based on Surface Patches Splicing

作　　者：乔晓萍[1] 朱晓锦[1] 张合生[1,2] 徐金星[1] 

机构地区：[1]上海大学机电工程与自动化学院,上海200072 [2]上海航天电子技术研究所,中国航天科技集团公司,上海201109

出　　处：《振动．测试与诊断》2013年第S1期160-163,228,共5页Journal of Vibration,Measurement & Diagnosis

基　　金：国家自然科学基金资助项目(51175319)

摘　　要：通过获取结构表面的正交曲率信息实现板状结构的拟合重构,将板状结构表面分解为曲面片阵列,基于二次方程建立曲面片模型。分析曲面片的边界条件,建立曲面片的非线性方程组。通过逆Broyden秩1法求解非线性方程组,获得曲面片的参数及曲面片方程。通过递推的方法将曲面片进行拼接,实现空间曲面的重构。基于二次方程构建样板曲面,采用数值方法获取非线性方程组的解,并进行仿真实验。仿真实验和数据分析表明,利用已知的正交曲率信息,基于曲面片拼接的曲面重构算法可以有效实现板状结构形变的重构,是一种可行的空间曲面拟合算法。Through detecting the orthogonal curvature of the structure surface to reconstruct flexible plate structure has a significant meaning for active monitoring of aerospace key structure. The plate structure is first decomposed into several surface patches, and then, based on the quadratic equation the surface model is established. The nonlinear equations is created through the analysis of surface patches' boundary constraint conditions. For each patch, the nonlinear equations are solved by using single rank inverse Broyden quasi Newton method to obtain the parametric equation of the surface patch. Through the recursion, the patches can be spliced and it can realize the surface reconstruction. Finally, simulations are carried out in the MatLAB environment and the experimental results show that the surface fitting algorithm can effectively reconstruct the large deformation surface, so it is feasible for space surfaces reconstruction.

关 键 词：板状结构 正交曲率 曲面片 曲面重构 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]