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1.
多余观测分量与可靠性度量指标研究   总被引:5,自引:0,他引:5  
讨论了相关观测值与非相关观测值的多余观测分量值域问题;论证了相关观测值的多余观测分量与内可靠性指标的不一致性;进一步研究了可靠性指标的应用问题,认为当观测值的复相关系数不同时,应同时考虑内、外可靠性指标;最后,以GPS准动态测量为例作了分析。  相似文献   

2.
讨论了相关观测值与非相关观测值的多余观测分量值域问题;论证了相关观测值的多余观测分量与内可靠性指标的不一致性;进一步研究了可靠性指标的应用问题,认为当观测值的复相关系数不同时,应同时考虑内、外可靠性指标;最后,以GPS准动态测量为例作了分析  相似文献   

3.
本文从一般平差模型出发,证明了在观测值相关的情况下,多余观测分量值域不为[0,1],且不是内、外部可靠性的唯一影响因素时,多余观测分量就失去了原有意义。文章还论证了内、外部可靠性在同一观测位置的统一性和不同观测位置的矛盾性,建议采用一种新的可靠性度量指标,将内、外部可靠性综合考虑,对新指标的值域和与多余观测分量的关系也做了说明;并论证了新指标统一性原则,它既适用于独立观测,也适用于相关观测,文章最后对算例的有关指标进行了比较分析。  相似文献   

4.
本文主要讨论了控制网的可靠性指标及与精度的相互关系。通过理论分析和数值计算,证明了目前普遍使用的观测值的多余观测分量不宜用作控制网二类设计的可靠性指标,并建议直接采用控制网可发现粗差的下界值作为可靠性指标。文中通过分析控制网二类设计中可靠性与精度准则的相互关系,获得了一些有益的结论。  相似文献   

5.
采用相关平差算法计算导线网中每个观测值的多余观测分量和各类观测值的内可靠性指标,按统计假设检验理论构成观测值的粗差检测统计量,经过探查指出可能含有粗差的观测值。最后给出内可靠性分析的结果,并提出导线网设计和施测要点建议  相似文献   

6.
相关观测情况的可靠性研究   总被引:12,自引:3,他引:9  
欧吉坤 《测绘学报》1999,28(3):189-194
可靠性是测量网优化设计和数据质量控制要考虑的重要因素之一。在独立观测情况,测量网的可靠性可用多余度(或称多余观测分量)来表示,多余度越小,该余度越小,该观测位置的可靠性越差,但在相关观测情况,多余度的值域超出(0,1)区间,已不能可靠性特征。本文建议采用一种新的可靠性度量指标:ri=(PR)ii/Pii,其中P是观测权阵,R是平差因子阵。ri的值域在一种新的可靠性度量指标;ri=(PR)ii/pi  相似文献   

7.
本文讨论了方差分量估计中必要多余观测数的确定问题,给出了计算公式,得出了在有2~3类观测值的情况下必要多余观测数应为20的结论。最后通过模拟网及实测网的计算结果,表明了本文结论的正确性。  相似文献   

8.
周懿 《四川测绘》2000,23(1):10-11
通过定义rij表示粗差对改正数的相互影响,导出了rif与多余观测分量rif的关系,表明对可靠性的分析可通过对rij和uij的分析来进行;在观测数一定时,该观测方案的可靠性取决于多余观测比例,并给出了可能达到的可靠性限。本文的分析为可靠性的进一步研究提供了一定的基础。  相似文献   

9.
采用相关平差算法计算导线网中每个观测值的多余观测量和各类观测值的内可靠性指标,按统计假设检验理论构成观测值的粗差检测统计量,经过探查指出可能含有粗差的观测值。最后给出内可靠性分析的结果,并提出导线网设计和施测要点建议。  相似文献   

10.
根据Baarda的可靠性理论,以空间后方交会为实验模型,在平差过程中引入虚拟控制点和控制点整体平差,并运用数据探测法进行单个粗差探测。实验表明,加入虚拟控制点,能适当提高每个观测值上的多余观测分量,减小控制点上粗差可发现的下界值。使用Baarda数据探测法检测粗差更有效,提高了该平差系统的内部可靠性。当网形结构不好、多余观测分量过少时,这种方法还能探测到数据探测法不能探测到的粗差。  相似文献   

11.
The estimated parameters from a Gauss-Markov model have varying sensitivity to the individual observations included in the model. Similarly, the redundancy contribution (number) of any observation is associated differently to all the other observations in the model. Evaluation of the sensitivity of parameters to observations, and the sensitivity of the redundancy contribution of one observation to the others are useful to gain more insight into Gauss-Markov models. Such analysis has found practical applications in survey network design and in multiple outlier detections. This paper presents some quantitative sensitivity measures for general Gauss-Markov models. The application of the concept in surveying network design is also discussed.  相似文献   

12.
最小二乘估计求得的观测值残差,有多种形式的定义,它们具有不同的分布。本文论述它们的概率分布和性质并讨论其用途。编算了多余观测分量r_i和标准化残差e_i的临界值表。此外,应用线性变换求得了不相关残差W=U~TV和S=D_W~(-1/2)W 。建议用S作粗差检验,本文编制了相应于这种检验的max|S_i|的临界值表,最后计算了一个实测的测边网,用求得的各种残差作了统计检验。  相似文献   

13.
This paper describes a low earth orbiter micro-satellite attitude determination algorithm using GPS phase and pseudorange data as the only observables. It is designed to run in real-time, at a rate of 10 Hz, on-board the spacecraft, using minimal chip and memory resources. The spacecraft design includes four GPS antennas deployed on boom arms to improve the antenna separations. The boom arms feature smart sensors, from which time-varying deformation data are used to calculate changes in the body-fixed system (BFS) co-ordinates of the attitude antennas. These data are used as input to the attitude algorithm to improve the accuracy of the output. The conventional double-difference phase observation equations have been re-arranged so that the only unknown parameters in the functions (once the ambiguities have been determined) are the spacecraft Euler angles. This greatly increases the redundancy in the mathematical model, and is exploited to enhance the algorithm's ability to trap observations contaminated by unmodelled multipath. This approach has been shown to be successful in identifying phase outliers at the 5–10 mm level. Speed of execution of the program is improved by utilising numerical differentiation of the model equations in the linearisation process. Furthermore, as the number of solve-for parameters is reduced to three by the chosen mathematical model, matrix inversion requirements are minimised. A novel approach to ambiguity resolution and determination of initial estimates of the attitude parameters has been developed utilising a heuristic technique and the known, and time varying, BFS co-ordinates of the antenna array. Algorithm testing is based on a simulation of the micro-satellite trajectory combined with variations in attitude derived from spin-stabilisation and periodic roll and pitch parameters. The trajectory of the spacecraft centre of mass was calculated by numerical integration of a force model using Earth gravity field parameters, third body effects due to the Sun and the Moon, dynamic Earth tide effects (solar and lunar), and a solar radiation pressure model. Frame transformations between J2000 and ITRF97 used the IERS conventions. A similar approach was used to calculate the trajectories of all available GPS satellites during the same period, using initial conditions of position and velocity from IGS precise orbits. RMS differences between the published precise orbit and the integrated satellite positions were at the 5-mm level. Phase observables are derived from these trajectories, biased by simulation of receiver and satellite clock errors, cycle slips, random or systematic noise and initial integer ambiguities. In the actual simulation of the attitude determination process in orbit, GPS satellite positions are calculated using broadcast ephemerides. The results show that the aim of 0.05° (two sigma) attitude precision can be met provided that the phase noise can be reduced to the level of 1–2 mm. Attitude precision was found to vary strongly with constellation geometry, which can change quite rapidly depending on the variations in spacecraft attitude. The redundancy in the mathematical model was found to be very effective in trapping and isolating cycle slips to the double difference observations that are contaminated. This allows for the possibility of correcting for cycle slips without full recourse to the ambiguity resolution algorithm. Electronic Publication  相似文献   

14.
在原有测量控制网(称旧网)的基础上建立同级扩大网或低级加密网(称新网)时,新旧网之间的重合点(称连接点)坐标值粗差的检验是平差前的一个重要环节。本文将连接点坐标视为带协方差阵的观测值,采用数据探测法定位其粗差。借助于 Gauss-Markov模型下两个备选假设检验的理论,推导了连接点相关坐标观测值粗差可定位性基本公式,讨论了各类平面网中连接点坐标观测值粗差的可发现性和可区分性。  相似文献   

15.
When applying single outlier detection techniques, such as the Tau () test, to examine the residuals of observations for outliers, the number of detected observations in any iteration of adjustment is most often more numerous than the actual number of true outliers. A new technique is proposed which estimates the number of outliers in a network by evaluating the redundancy contributions of the detected observations. In this way, a number of potential outliers can be identified and eliminated in each iteration of an adjustment. This leads to higher efficiency in data snooping of geodetic networks. The technique is illustrated with some numerical examples.  相似文献   

16.
R. Hsu 《Journal of Geodesy》1999,73(4):173-179
An alternative expression has been derived for the variance factors when estimating weights according to the Iterated Almost Unbiased Estimation (IAUE) technique. A variance factor can be approximately estimated by finding the ratio of the group redundancy numbers at any two successive iterations. The numerical example of the first-order leveling network of Taiwan indicates: that stabilization of the redundancy number of an observation occurs as the variance factor associated with it converges to unity; that variance factors tend to approach unity for individual groups with large redundancy; and that for those variance factors which fail to converge to unity, the redundancy numbers decrease monotonically as the iteration proceeds. Received: 16 April 1996 / Accepted: 9 June 1998  相似文献   

17.
3D reconstruction from a single image using geometric constraints   总被引:2,自引:0,他引:2  
Photogrammetry has many advantages as a technique for the acquisition of three-dimensional models for virtual reality. But the traditional photogrammetric process to extract 3D geometry from multiple images is often considered too labour-intensive. In this paper a method is presented with which a polyhedral object model can be efficiently derived from measurements in a single image combined with geometric knowledge on the object. Man-made objects can often be described by a polyhedral model and usually many geometric constraints are valid. These constraints are inferred during image interpretation or may even be extracted automatically. In this paper different types of geometric constraints and their use for object reconstruction are discussed. Applying more constraints than needed for reconstruction will lead to redundancy and thereby to the need for an adjustment. The redundancy is the basis for reliability that is introduced by testing for possible measurement errors. The adjusted observations are used for object reconstruction in a separate step. Of course the model that is obtained from a single image will not be complete, for instance due to occlusion. An arbitrary number of models can be combined using similarity transformations based on the coordinates of common points. The information gathered allows for a bundle adjustment if highest accuracy is strived for. In virtual reality applications this is generally not the case, as quality is mainly determined by visual perception. A visual aspect of major importance is the photo-realistic texture mapped to the faces of the object. This texture is extracted from the same (single) image. In this paper the measurement process, the different types of constraints, their adjustment and the object model reconstruction are treated. A practical application of the proposed method is discussed in which a texture mapped model of a historic building is constructed and the repeatability of the method is assessed. The application shows the feasibility of the method and the potential of photogrammetry as an efficient tool for the production of 3D models for virtual reality applications.  相似文献   

18.
介绍了自主导航的轨道确定及时间同步观测方程。以北斗仿真全星座为对象,通过采用仿真星间及卫星与地面锚固站间观测值,进行了60 d自主导航解算,分别探讨了锚固站数量及锚固站观测连续性对北斗卫星导航系统(BDS)3类卫星自主导航精度的影响。结果表明:锚固站数量及观测连续性对RERR及CERR无影响;加入1个锚固站即可显著改进URE结果精度,继续增加锚固站数量虽然可进一步提高URE精度但其改进效果有限;锚固站观测中断时间越长,其对应自主导航精度越低。因此,在BDS自主导航运行模式下应保持较高的锚固站观测频次以保证自主导航精度;另外,锚固站数量及观测连续性对北斗系统3类卫星自主导航精度的影响无显著差异。  相似文献   

19.
大重叠度影像的相对定向与前方交会精度分析   总被引:8,自引:1,他引:8  
针对数码相机所拍摄的序列图像具有重叠度高、同名特征的冗余观测值多等特点.分析了大重叠度序列影像在相对定向和前方交会时的精度优势。影像重叠度越大,相对定向的精度越好;而且重叠数目越大.交会角越大,平面和高程(或深度)方向的交会精度和可靠性也越高.实用中可采用80%重叠度的序列影像进行三维重建等。  相似文献   

20.
A technique for processing correlated observations suitable for large, sparse, least-squares adjustments is reviewed. Correlated coordinate differences derived from the Global Positioning System are used as illustrative examples. However, the methods examined are suitable for all types of correlated observations. The computation of variances of residuals, redundancy numbers, and marginally detectable errors is considered for sparse systems.  相似文献   

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