摘要
提出一种基于NURBS理论的叶片点云处理和曲面重构的方法.飞机涡轮叶片是结构、气动、强度等多学科优化设计的结果,其外形为复杂的自由参数曲面.用最小二乘法将拓扑后的点云局部曲面拟合对异常点去噪,依据曲率阈值点云分割.将双三次Coons的B-spline形式曲面作为基面,散乱点云无约束曲面逼近,利用优化理论迭代得到曲面控制点从而确定B-spline曲面方程.根据NURBS理论对曲面拼接修剪,复原磨损叶片的三维模型,为后续的焊接修复提供精确三维模型.
The NURBS theory was used in the point cloud processing and surface reconstruction of blade.Since the surface of blade:is designed through optimization of structural mechanics,aerodynamics and strength analysis,the shape of blade is a kind of complex free surface.The least square method was used to denoise the outliers in fitting the local surface process and segment according to curvature threshold.The bi-cubic interpolation Coons surface in form of B-spline was taken as the basal plane,and the scattered point cloud was approached to the non-constraint surface.According to optimization theory,the control points of the Bezier surface were determined by the iteration theory,Finally,the 3D model of worn blade was recovered by splicing and trimming surfaces based on NURBS,which provided an ideal model for subsequent welding repair.
出处
《焊接学报》
EI
CAS
CSCD
北大核心
2014年第6期73-76,117,共5页
Transactions of The China Welding Institution
基金
国家自然科学基金资助项目(51075299)
天津市科技支撑计划重点项目(10ZCKFGX03900)
天津市自然科学基金重点项目(10JCZDJC23500)
关键词
焊接修复
逆向工程
点云去噪
曲面重构
welding maintenance
reverse engineering
point cloud denoising
surface reconstruction
