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基于空间解析几何的空间点位测量方法

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工程测量实践中,经常遇到需要测定在某些工程实体(建筑物、桥梁、输电线等)上的空间点的点位.鉴于空间点必定在工程实体的某个平面或者规则曲面上,提出基于空间解析几何的空间点位测量方法,获得空间点的三维坐标.以输电线上空间点位测量为例,对该测量方法的基本原理、观测方案、观测量与工程实体空间几何元素的关联、相关数学计算模型推演等进行探讨.对模拟悬空输电线进行实验对比测量,测量结果验证了基于空间解析几何的空间点位测量方法的有效性.
A Spatial Point Location Measurement Method Based on Space Analytic Geometry
In the practice of engineering measurement,it is often encountered that the point positions of spatial points on certain engineering entities(buildings,bridges,transmission lines,etc.)need to be determined.Given that the spatial points must be on a certain plane or regular surface of the engineering entity,a spatial point measurement method based on space analytic geometry is proposed to obtain the three-dimensional coordinates of spatial points.Taking the spatial point location measurement on transmission line as an example,the basic principle of this measurement method,observation scheme,correlation of observation quantity with the spatial geometric elements of engi-neering entity,and derivation of relevant mathematical calculation model are discussed.The experi-mental comparative measurements on simulated overhanging transmission lines are carried out,and the measurement results verify the effectiveness of the spatial point location measurement method based on space analytic geometry.

space analytic geometryspatial point locationmeasurementmethod

周学楷、李程鹏、曾绍炳

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东华理工大学长江学院,344000,江西,抚州

空间解析几何 空间点位 测量 方法

江西省教育厅科学技术研究项目

191607

2023

江西科学
江西省科学院

江西科学

影响因子:0.286
ISSN:1001-3679
年,卷(期):2023.41(1)
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