一种改进的最小二乘平面拟合算法An improved least-square plane fitting algorithm
李伟,孙元超,李宗春,王永强,郭风成
摘要(Abstract):
针对点云平面拟合中存在离群点和噪声点等问题,从概率分析的角度提出了一种改进的最小二乘平面拟合算法。该算法基于概率统计思想,采用中位数法筛选最佳初始平面模型,并利用迭代最小二乘法剔除离群点,逐步优化模型,从而获取最佳平面。运用不同的迭代方法对仿真数据和实测数据进行平面拟合,实验结果表明:当点云存在高离群率和大离群幅时,相比于其他迭代方法,本文算法仍可以准确地拟合出最佳平面。
关键词(KeyWords): 平面拟合;最小二乘法;概率分析;最小中位数法;抗差性
基金项目(Foundation):
作者(Author): 李伟,孙元超,李宗春,王永强,郭风成
DOI: 10.16251/j.cnki.1009-2307.2017.01.003
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