基于球体几何关系的球标靶特征提取算法
发布时间：2018-07-16 20:48
【摘要】：利用“球面上任意3点确定的平面与球的相交曲线为圆,该截面圆心与球心的连线(球截面圆心法线)垂直于圆平面”的几何关系,提出一种基于球体几何关系的球标靶特征提取算法。通过对球标靶点云构建多组截面圆,对截面圆设定约束条件,构造球心到球截面圆心法线距离平方和的目标函数,以此目标函数最小为条件求解球标靶的球心坐标。通过实验比较本文方法、最小二乘方法、整体最小二乘方法、加权整体最小二乘方法和稳健加权整体最小二乘方法对球标靶的处理效果,结果表明本文方法具有较高的准确性和稳健性。
[Abstract]:The geometric relation of the line between the center of the spherical section and the center of the sphere (normal line of the center of the spherical section) perpendicular to the plane of the sphere is used to make use of the curve of intersection between the plane and the sphere determined by any three points on the sphere. A ball target feature extraction algorithm based on sphere geometry relationship is proposed. By constructing multi-group cross-section circle of spherical target point cloud and setting constraint conditions on cross-section circle, the objective function of square sum of normal distance from spherical center to spherical section is constructed. The minimum objective function is used as the condition to solve the spherical center coordinate of spherical target. The results show that the proposed method has high accuracy and robustness.
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本文编号：2127629
[Abstract]:The geometric relation of the line between the center of the spherical section and the center of the sphere (normal line of the center of the spherical section) perpendicular to the plane of the sphere is used to make use of the curve of intersection between the plane and the sphere determined by any three points on the sphere. A ball target feature extraction algorithm based on sphere geometry relationship is proposed. By constructing multi-group cross-section circle of spherical target point cloud and setting constraint conditions on cross-section circle, the objective function of square sum of normal distance from spherical center to spherical section is constructed. The minimum objective function is used as the condition to solve the spherical center coordinate of spherical target. The results show that the proposed method has high accuracy and robustness.
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本文编号：2127629
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