七参数转换模型的加性乘性混合型误差模型解法
A Mixed Additive and Multiplicative Error Solution for the Seven-Parameter Transformation Model
王乐洋 1曹智超1
作者信息
- 1. 东华理工大学自然资源部环鄱阳湖区域矿山环境监测与治理重点实验室,江西 南昌,330013;东华理工大学测绘与空间信息工程学院,江西 南昌,330013
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摘要
以往计算七参数都是基于误差的加性性质进行的,考虑到七参数转换模型中旋转参数与尺度参数的乘性关系,本文将加性乘性混合误差模型引入七参数计算中,在原加性乘性混合误差模型性质与七参数之间的相关性基础上优化计算步骤,提出七参数转换模型的加性乘性混合误差解法.在多个坐标系坐标转换随机抽样重复实验中解法精度优于传统算法,具有有效性与稳定性.
Abstract
In the past,the calculation of seven-parameter was based on the additive nature of errors.This paper proposes a mixed additive and multiplicative error solution for the seven-parameter transformation model,which optimizes the calcula-tion steps based on the properties of the original mixed addi-tive and multiplicative error model and the correlation be-tween the seven parameters and adds the mixed additive and multiplicative error model into the seven-parameter calcula-tion due to the consideration of the multiplicative relationship between rotation parameters and scale parameters in the sev-en-parameter transformation model.The accuracy of the solu-tion is superior to traditional algorithms in multiple coordinate system coordinate conversion random sampling repeated ex-periments,which prove its effectiveness and stability.
关键词
坐标转换/七参数/加性乘性误差Key words
coordinate transformation/seven-parameter/mixed additive and multiplicative error引用本文复制引用
出版年
2024
NETL
NSTL
万方数据