摘要
针对三维坐标转换中异常值导致传统最小二乘估计精度下降的问题,本文提出了一种基于IGGⅢ函数的抗差估计改进方法。通过构建三维七参数转换模型,引入自适应阈值调整策略优化权函数,结合模拟数据和真实数据,验证了该方法在异常值干扰下,仍可提升参数计算精度,其精度显著优于传统最小二乘方法,可以实际应用于三维七参数的计算中。
Addressing the issue of reduced accuracy in traditional least squares estimation caused by outliers in three-dimensional coordinate transformation,this paper proposes an improved robust estimation method based on the IGG3 function.By constructing a three-dimensional seven-parameter transformation model and introducing an adaptive threshold adjustment strategy to optimize the weight function,combined with simulated and real data,it is verified that this method can still enhance parameter calculation accuracy under the interference of outliers.Its accuracy is significantly better than that of traditional least squares methods,making it practical for application in the calculation of three-dimensional seven parameters.
作者
耿晓燕
王文超
赵辉
孟静娟
GENG Xiaoyan;WANG Wenchao;ZHAO Hui;MENG Jingjuan(Geodetic Data Processing Center,MNR,Xi'an,Shaanxi 710054,China)
出处
《测绘标准化》
2025年第4期22-28,共7页
Standardization of Surveying and Mapping
基金
中国测绘科学研究院基本科研业务费(AR2402)
西安市科技计划(24ZDCYJSGG0015)
陕西省重点研发计划(2022ZDLSF07-12)。
关键词
坐标转换
最小二乘
抗差估计
七参数
coordinate transformation
least squares
robust estimation
seven parameters
