基于公共点平均坐标平移量的四参数转换  

PLANE FOUR-PARAMETER TRANSFORMATION METHOD BASED ON AVERAGE COORDINATE OFFSETS OF COMMON POINTS

作　　者：高闪闪 GAO Shanshan(SGIDI Engineering Consulting(Group)Co.,Ltd.,Shanghai 200093,China)

机构地区：[1]上海勘察设计研究院(集团)有限公司,上海200093

出　　处：《低温建筑技术》2023年第10期124-127,共4页Low Temperature Architecture Technology

摘　　要：文中通过对平面四参数转换模型矩阵计算推导的方法,对优化坐标转换模型系数矩阵有利于提高坐标转换精度的研究,得到了考虑局域控制网公共点平均坐标平移量的四参数转换改进模型。改进模型较传统经典模型明显减小了待求逆矩阵元素的数量级,有利于减小由于计算机存储及数据处理过程中带来的计算精度损失,提高转换的精度和效率。文中通过编写Python计算程序,分别对经典模型和改进模型进行实例计算,试验结果验证了改进模型的可行性和正确性,相比于经典模型更加优越。为基坑等工程施工中,以平行于监测对象的轴向建立监测独立坐标系来进行位移变形监测,并通过平面坐标转换模型实现监测独立坐标系和施工坐标系之间的高精度快速转换提供参考。The method of calculating and deriving the matrix of the plane four-parameter transformation model is used to optimize the coefficient matrix of the plane coordinate transformation model,which is beneficial for improv⁃ing the accuracy of coordinate transformation.An improved four-parameter transformation model considering the av⁃erage coordinate offsets of common points in local control network is derived.The improved model significantly re⁃duces the order of magnitude of the elements in the inverse matrix to be solved.It is beneficial to reduce the loss of calculation accuracy caused by computer storage and data processing.The classical method and the improved meth⁃od are calculated by the Python calculation program.The experimental results verifies the feasibility and validity of the improved method,which is superior to the classical four-parameter transformation model.In the construction of foundation pits and other engineering projects,an independent monitoring coordinate system is established parallel to the axis of the monitoring object for displacement and deformation monitoring,and a plane coordinate conversion model is used to achieve high-precision and rapid conversion between the monitoring independent coordinate sys⁃tem and the construction coordinate system.

关 键 词：公共点坐标平移量 平面四参数 坐标转换 

分 类 号：TU47[建筑科学—结构工程]