任意位姿孔轴线方位解析与图像测量方法研究  

Study on the Orientation Analysis of Various Pose Holes Axis and Image Measurement Method

作　　者：刘佳[1,2] 傅卫平[1] 王雯[1] 郄娜[1] 

机构地区：[1]西安理工大学机械与精密仪器工程学院,西安710048 [2]西安科技大学理学院,西安710054

出　　处：《机械科学与技术》2015年第3期440-444,共5页Mechanical Science and Technology for Aerospace Engineering

基　　金：国家自然科学基金项目(10872160;51475365);陕西省自然科学基础研究计划重点项目(2011JZ012)资助

摘　　要：针对孔的空间定位问题,提出任意位姿孔轴线方位的求解算法。孔边缘轮廓在透视投影下为椭圆,基于代数距离的椭圆拟合保证了椭圆拟合结果的稳定性,再利用椭圆定义约束,迭代优化拟合结果,避免了异常点及不完整样本点对拟合结果的干扰。通过空间几何解析,建立空间几何模型,利用平面法向量和相似三角形推导出计算公式。仿真结果表明该算法精度高,实用性强。The novel algorithm for recognizing hole axis with different poses based on the computational geometry is studied. The edge of a hole will show as an ellipse by perspective projection. The ellipse fitting based on the algebraic distances could ensure the stability of fitting results. And the fitting results are iterated and optimized by adding the ellipse definition constraints. This would avoid interference due to exception points and incomplete sample points. The spatial geometry model was established by using the spatial geometry analysis. The formulas were deduced with analyzing plane normal vector and similar triangles. The simulation and real image results are presented with the high precision and practical algorithm.

关 键 词：计算机视觉 计算几何 平面法向量 相似三角形 

分 类 号：TG806[金属学及工艺—公差测量技术] TP391.41[自动化与计算机技术—计算机应用技术]