| 一种改进的最大一致性点云几何基元拟合算法 |
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| 引用本文： | 刘修国,杨准,王红平,梁栋.一种改进的最大一致性点云几何基元拟合算法[J].同济大学学报(自然科学版),2015,43(8):1246-1253. |
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| 作者姓名： | 刘修国 杨准 王红平 梁栋 |
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| 作者单位： | 中国地质大学（武汉）,中国地质大学（武汉）,中国地质大学（武汉）,中国地质大学（武汉） |
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| 基金项目： | 国家发改委卫星及应用产业发展专项；武汉市学科带头人计划（201271130443）；中央高校基本科研业务费专项资金（007-G1323511350） |
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| 摘 要： | 基于MCMD_Z(maximum consistency with minimum distance and robust Z-score)算法思想,提出了一种稳健的且适用于平面、二次曲面(球、圆柱、圆锥)基元高精度拟合算法.算法依据距离和最小准则,从含有粗差的点集中选取最佳点子集拟合可靠模型初值,并采用稳健Z分数方法循环剔除粗差;对剔除粗差后的保留点集采用加权最小二乘迭代方法拟合.实验表明,对粗差含量较高的点云数据,该算法均能有效剔除粗差、拟合出高精度的几何基元.
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| 关 键 词： | 激光点云 MCMD_Z 平方距离 几何基元拟合 粗差剔除 |
| 收稿时间： | 2014/6/10 0:00:00 |
| 修稿时间： | 2015/5/19 0:00:00 |
An Improved Maximum Consistency Geometric Primitives Fitting Algorithm for Point Cloud |
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| LIU Xiuguo,YANG Zhun,WANG Hongping and LIANG Dong.An Improved Maximum Consistency Geometric Primitives Fitting Algorithm for Point Cloud[J].Journal of Tongji University(Natural Science),2015,43(8):1246-1253. |
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| Authors: | LIU Xiuguo YANG Zhun WANG Hongping and LIANG Dong |
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| Institution: | Faculty of Information Engineering, China University of Geosciences, Wuhan 430074, China,Faculty of Information Engineering, China University of Geosciences, Wuhan 430074, China,Faculty of Information Engineering, China University of Geosciences, Wuhan 430074, China and Faculty of Information Engineering, China University of Geosciences, Wuhan 430074, China |
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| Abstract: | Based on the idea of MCMD_Z algorithm, this paper presents a robust high precision fitting algorithm applying to plane, quadric surface primitives(sphere, cylinder, cone). According to the minimum sum of distance criteria, the algorithm gets the best subset from the point cloud to fit the reliable initial value of the geometric primitive, and removes the outliers cyclically through the robust z score method, then fits the inliers by using the weighted least square iteration method. Experimental results show that this algorithm can remove outliers effectively and fit geometric primitive precisely in the point cloud with high content of outliers. |
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| Keywords: | laser scanning point cloud MCMD_Z squared distance geometric primitives fitting outlier removal |
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