后方交会法配合可编程计算器在测量放线中的应用

介绍了后方交会及支导线的计算方法，探讨了Casio Fx4500计算器程序的编制，说明后方交会法配合可编程计算程序在道路施工及其它测量放线过程中不仅克服了其路基不平等许多不便之处，而且大大提高了测量放线的速度和精度，值得推广应用。     

利用微机进行航片转绘

本文所述方法的基本思路是：根据空间后方交会原理建立单张航片的投影变换模型，利用扫描仪输入航片调绘数据和地形高程数据，利用投影变换模型对航片数据进行变换处理，从而实现对航片的转绘。该方法适用于高山、丘陵、平地的航片转绘。     

空间后交的一种新算法

根据矩阵理论，推导了空间后交的一种新算法．这种方法简单易行，无需线性化，其计算结果、精度与传统方法一致．     

Comparison of resection–intersection algorithms and projection geometries in radiostereometry

Three resection–intersection algorithms were applied to simulated projections and clinical data from radiostereometric patients. On simulated data, the more advanced bundle-adjustment-based algorithms outperformed the classical Selvik algorithm, even if the error reductions were small for some parameters. On clinical data, the results were inconclusive.The two different projection geometries had a much larger influence on the error size and distribution. For the biplanar configuration, the position and motion errors were small and almost isotropic. For the uniplanar configuration, the position errors were comparably high and anisotropic, but still resulted in a high accuracy for some motion parameters at the expense of others.The simplified resection–intersection algorithm by Selvik may still be considered a good and robust algorithm for radiostereometry. More studies will have to be performed to find out how the theoretical advantages of the bundle methods can be utilized in clinical radiostereometry.     

Groebner-basis solution of the three-dimensional resection problem (P4P)

The three-dimensional (3-D) resection problem is usually solved by first obtaining the distances connecting the unknown point P{X,Y,Z} to the known points P_i{X_i,Y_i,Z_i}i=1,2,3 through the solution of the three nonlinear Grunert equations and then using the obtained distances to determine the position {X,Y,Z} and the 3-D orientation parameters {,, }. Starting from the work of the German J. A. Grunert (1841), the Grunert equations have been solved in several substitutional steps and the desire as evidenced by several publications has been to reduce these number of steps. Similarly, the 3-D ranging step for position determination which follows the distance determination step involves the solution of three nonlinear ranging (`Bogenschnitt') equations solved in several substitution steps. It is illustrated how the algebraic technique of Groebner basis solves explicitly the nonlinear Grunert distance equations and the nonlinear 3-D ranging (`Bogenschnitt') equations in a single step once the equations have been converted into algebraic (polynomial) form. In particular, the algebraic tool of the Groebner basis provides symbolic solutions to the problem of 3-D resection. The various forward and backward substitution steps inherent in the classical closed-form solutions of the problem are avoided. Similar to the Gauss elimination technique in linear systems of equations, the Groebner basis eliminates several variables in a multivariate system of nonlinear equations in such a manner that the end product normally consists of a univariate polynomial whose roots can be determined by existing programs e.g. by using the roots command in Matlab.Acknowledgments.The first author wishes to acknowledge the support of JSPS (Japan Society of Promotion of Science) for the financial support that enabled the completion of the write-up of the paper at Kyoto University, Japan. The author is further grateful for the warm welcome and the good working atmosphere provided by his hosts Professors S. Takemoto and Y. Fukuda of the Department of Geophysics, Graduate School of Science, Kyoto University, Japan.     

共线条件方程在建筑物比高求解中的应用

高度信息作为人工地物的重要属性信息，在军事和民用上都具有很高的利用价值。针对人工地物高度提取的发展现状及存在的主要问题，对单张航片利用共线条件方程确定人工地物比高方法的原理和技术进行了研究，并进行了实验，验证了方法的可行性。     

非量测数码相机单像空间后方交会的辅助分步像主距与像主点的简单测定

近年来,非量测的中、高端普通数码相机越来越多的应用到航空、近景等摄影测量领域[3]。影响摄影测量成果精度的重要因素之一是相机的技术参数,因此相机技术参数的检校是保证成果质量能否满足精度要求的关键问题之一。本文着重讲述了在以单像空间后方交会为基础的相机检校中,受制于实践环境,当控制场各控制点的几何分布通常被布置离一个平面不大的范围内,则会使未知数的解极不稳定,甚至有不定解得可能。为防止出现错解以及不定解,先通过试验场检校给出像主距f和像主点(x0,y0)初始值,从而避免上述情况发生,文中给出了方法、原理及实践数据、结果。     

数码相机检验中出现的问题及解决方法

数码相机的检验是近景摄影测量中经常碰到的问题。最常用的主要还是基于共线方程的后方交会法。但由于普通数码相机存在较大的镜头畸变，内方位元素也未知，所以仅用单片进行后方交会求取有关参数时，法方程可能会出现病态现象，从而影响最后的检验结果。文中对此现象进行了讨论，并给出了一些实用的解决方法。     

后方交会在排土场沉降监测中应用的探讨

排土场是露天矿山的重大危险源之一,其沉降监测一直以来备受重视。本文根据某露天钼矿排土场沉降监测方法及特点,提出利用全站仪后方交会的方法进行沉降观测,通过观测实验,分别对测角、测边后方交会的坐标数据进行比较分析,综合考虑数据的精度和产生误差的原因,并依此得出测边后方交会更加适合于该露天钼矿排土场沉降观测的结论。     

边角后方交会在高铁板式无碴轨道放样中的应用

智能型全站仪结合边角后方交会原理在高速铁路测量工作中得到广泛应用,其在CPⅢ高精度铺轨控制网的基础上进行自由重叠设站的精度能满足高铁测量的精度要求。在板式无碴轨道底板放样和轨道板安装时,可以根据仪器误差参数计算得出每个测站进行放样时误差不超限的最远放样距离,供测量人员参考。