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作 者:布金伟 金立新[2,3] 左小清 常军[4] 李小龙[5] BU Jinwei;JIN Lixin;ZUO Xiaoqing;CHANG Jun;LI Xiaolong(School of Land and Resources Engineering, Kunming University of Science and Technology, Kunming 650093, P.R.China;China Railway First Survey and Design Institute Group Co., Ltd., Xi'an 710043, P.R.China;The General Engineering Survey Institute of Railways of Gansu Co., Ltd., Lanzhou 730000, P.R.China;First Survey Team of State Bureau of Surveying and Mapping Geographic Information, Xi'an 710054, P.R.China;School of Surveying and Mapping Engineering, Donghua University of Science and Technology, Nanchang 330013, P.R.China)
机构地区:[1]昆明理工大学国土资源工程学院,昆明650093 [2]中铁第一勘察设计院集团有限公司,西安710043 [3]甘肃铁道综合工程勘察院有限公司,兰州730000 [4]国家测绘地理信息局第一大地测量队,西安710054 [5]东华理工大学测绘工程学院,南昌330013
出 处:《重庆大学学报(自然科学版)》2018年第4期99-106,共8页Journal of Chongqing University
基 金:国家自然科学基金(41574009;41501437);江西省自然科学基金(20151BAB213030);云南省高校工程研究中心建设计划资助~~
摘 要:用传统的高斯投影方法处理东西跨度较大的线路时,频繁换带既不能解决参考椭球面投影至高斯平面产生的投影长度变形,也不能解决高程归化引起的长度变形的影响。因此,有学者基于最小二乘法、空间坐标系旋转和椭球变换等理论,提出了一种建立工程椭球的新方法。笔者在此理论基础上,通过高铁GPS控制网的具体实例对该方法进行了验证和分析。试验分析表明:该方法可大大减少投影后横轴方向变形分量,避免高斯投影分带现象,同时有效减小高程引起的投影变形。特别适合东西跨度较大的长线路工程,且数学模型成熟、计算过程清晰,对线路工程测量具有借鉴作用。When traditional gauss projection method is used to treat long-span lines in east-west direction, the frequent change belt can solve neither the reference ellipsoid projection to Gauss plane projection length deformation nor the influence of the height to the length of the deformation caused by the domestication. Therefore, some scholars have proposed a new method to establish an ellipsoid of engineering based on the theory of least squares, rotation of space coordinate system and ellipsoid transformation. Based on this theory, the authors verify and analyze the method through the specific examples of high-speed railway GPS control network. The experimental analysis shows that this method can greatly reduce the deformation component of the transverse axial direction after the projection, avoid the phenomenon of Gaussian projection zoning, and effectively reduce the projection distortion caused by elevation. It is especially suitable for long line engineering with long span, and the mathematical model is mature and the calculation process is clear, which can be used for reference in line engineering measurement.
关 键 词:投影变形 旋转矩阵 椭球变换 高斯投影 数学模型
分 类 号:P258[天文地球—测绘科学与技术]
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