# [1]王庆,于先文.顾及已知点精度的自由设站算法及精度分析[J].东南大学学报(自然科学版),2009,39(2):372-376.[doi:10.3969/j.issn.1001-0505.2009.02.035] 　Wang Qing,Yu Xianwen.Precision analysis and algorithm of free-station positioning considering precision of known points[J].Journal of Southeast University (Natural Science Edition),2009,39(2):372-376.[doi:10.3969/j.issn.1001-0505.2009.02.035] 点击复制 顾及已知点精度的自由设站算法及精度分析() 分享到： var jiathis_config = { data_track_clickback: true };

39

2009年第2期

372-376

2009-03-20

## 文章信息/Info

Title:
Precision analysis and algorithm of free-station positioning considering precision of known points

1 东南大学仪器科学与工程学院, 南京 210096; 2 东南大学交通学院, 南京 210096
Author(s):
1 School of Instrument Science and Engineering, Southeast University, Nanjing 210096, China
2 School of Transportation, Southeast University, Nanjing 210096, China

Keywords:

P207
DOI:
10.3969/j.issn.1001-0505.2009.02.035

Abstract:
Considering the precision of known points, the direction and distance observation error equations which are acquired by free station are presented. According to the least-square collocation principle, the algorithm of station coordinates and orientation angle and their precision is got. Moreover, the model to solve the detail coordinates and their precision is discussed by using covariance matrix. Precisions of the station and detail points are analyzed.It is concluded that the precision of these points is attenuated equidistantly as concentric circles. Its center is the weighted average of the coordinates of known points with the radius determined by the precision, the quantity and the distribution of known points. The precision of station points is almost independent of intersection angle, and the precision of known points is almost independent of station point. In some circumstance, the detail points may be more precise. These theoretical results are found to be consistent with the experiment data.

## 参考文献/References:

[1] Joe N.Site layout with robotic total stations [J].Concrete Construction-World of Concrete,2003,48(2):28-32.
[2] 冯文灏,李建松,李欣.用于工业部件放样与检测的特高精度工业测量3维控制网的建立[J].测绘学报,2000,29(4):362-368.
Feng Wenhao,Li Jiansong,Li Xin.Establishment of 3-D control network with extra-high precision for inspecting and setting out of industrial components [J].Acta Geodaetica et Cartographica Sinica,2000,29(4):362-368.(in Chinese)
[3] Villy K,Stefi K,Stathis S.Monitoring with electronic total stations:performance and precision of prismatic and non-prismatic reflectors [J]. Geotechnical News,2007,25(1):30-33.
[4] Psimoulis P A,Stiros S C.Measurement of deflections and of oscillation frequencies of engineering structures using robotic theodolites(RTS)[J]. Engineering Structures,2007,29(12):3312-3324.
[5] Merkle W J,Myers J J.Use of the total station for load testing of retrofitted bridges with limited access[C] //Smart Structures and Materials 2004.San Diego,USA,2004:687-694.
[6] 岳东杰,李汝晓,昌云英.全站仪自由设站的精度分析[J].江苏测绘,1999,22(1):11-13.
Yue Dongjie,Li Ruxiao,Cang Yunying.The precision analysis of free station with total station electronic thacheometer[J]. Jiangsu Surveying and Mapping,1999,22(1):11-13.(in Chinese)
[7] 钟正强,吴国忠.边角后方交会与公路路线测设[J].中南公路工程,2003,28(1):26-28.
Zhong Zhengqiang,Wu Guozhong.Side angle resection and route reconnaissance [J]. Central South Highway Engineering,2003,28(1):26-28.(in Chinese)
[8] 陈子进,吴斌,梅连友.全站仪坐标差分法在高边坡变形监测中的应用[J].重庆建筑大学学报,2005,27(1):130-134.
Chen Zijin,Wu Bing,Mei Lianyou.Application of coordinate difference method in safe monitor of high slope with total station actively[J].Journal of Chongqing Architecture University,2005,27(1):130-134.(in Chinese)
[9] 杨松林,刘维宁,师红云.全站仪自由设站隧道围岩变形非接触监测理论和方法的研究[J].土木工程学报,2006,39(4):101-104.
Yang Songlin,Liu Weining,Shi Hongyun.A study on the theory and method of non-contact monitoring for tunnel rock deformation based on free stationing of a total station[J]. China Civil Engineering Journal,2006,39(4):101-104.(in Chinese)
[10] 王继刚,赵保红.自由设站的原理及应用[J].连云港化工高等专科学校学报,2002,15(3):46-47.
Wang Jigang,Zhao Baohong.Principle and application of free station[J]. Journal of Lianyungang College of Chemical Technology,2002,15(3):46-47.(in Chinese)
[11] Chen L C,Teo T A,Liu C L.Rigorous georeferencing for formosat-2 satellite images by least squares collocation [C] //IEEE International Geoscience and Remote Sensing Symposium.Seoul,South Korea,2005:3526-3529.
[12] Perrey D E.Plane wave decomposition in the unit disc:convergence estimates and computational aspects [J]. Journal of Computational and Applied Mathematics,2006,193(1):140-156.

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