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Wang L.,East China Institute of Technology | Wang L.,Jiangxi Province Key Laboratory for Digital Land | Wang L.,Key Laboratory of Watershed Ecology and Geographical Environment Monitoring | Yu D.,East China Institute of Technology | Lu K.,East China Institute of Technology
Cehui Xuebao/Acta Geodaetica et Cartographica Sinica | Year: 2015

On the basis of complex least squares adjustment method (CLSAM), the theory of complex total least squares adjustment method (CTLSAM) is proposed. The algorithms of complex total least squares and complex LS-TLS method are derived. Through two examples, the complex LS method under the adjustment criterions that minimize the sum of squares of the module of observation vector residual (adjustment criterion 1) and the sum of squares of the real part and imaginary part of the observation vector (adjustment criterion 2), the complex TLS method under the adjustment criterions that minimize the sum of squares of the module of observation vector and coefficient matrix residual (adjustment criterion 3) and the sum of squares of the real part and imaginary part of the observation vector and coefficient matrix residual (adjustment criterion 4) are compared and analyzed respectively. The results of two examples show that the CLSAM under the adjustment criterion 1 is more reasonable than the adjustment criterion 2; the CTLSAM under the adjustment criterion 3 is more accurate than the adjustment criterion 4; the CTLSAM under the adjustment criterion 3 is better than the CLSAM under the adjustment criterion 1 when the coefficient matrix contains stochastic noise. ©, 2015, SinoMaps Press. All right reserved.


Lei R.,Zhengzhou Institute of Surveying and Mapping | Ji S.,Jiangxi Province Key Laboratory for Digital Land
Lecture Notes in Electrical Engineering | Year: 2012

In this paper, CCD array displacement and rotation model, focal length displacement model and optical distortion model were analyzed for line-array CCD sensor of high resolution satellites. An integrated interior self-calibration model was then proposed. Applying piecewise polynomial interpolation model, contents of exterior parameters to be calibrated were analyzed. Based on collinearity equation, a self-calibration bundle block adjustment model was constructed and relative solution method was given. Through SPOT5 simulation datasets, block adjustment experiments were done and the experimental results verified the feasibility of the solution model. © 2012 Springer-Verlag Berlin Heidelberg.


Wang L.,East China Institute of Technology | Wang L.,Jiangxi Province Key Laboratory for Digital Land | Yu D.,East China Institute of Technology
Cehui Xuebao/Acta Geodaetica et Cartographica Sinica | Year: 2014

A new virtual observation method to ill-posed total least squares (TLS) problem is proposed. The priori information is taken as one class of virtual independent observations, and then the virtual observations as constraints with ill-posed observation equation are united together to solve the unknown parameters. The iterative algorithm and ridge mark method for determining sub-criterion-parameter of virtual observation method are given. Through two examples, the TLS-virtual observation method, TLS-L curve method, common TLS method and LS method are compared and analyzed. At last, the conclusion that virtual observation method to ill-posed TLS problem is very effective is obtained.


Guo J.,Anhui Agricultural University | Guo J.,Jiangxi Province Key Laboratory for Digital Land
Cehui Xuebao/Acta Geodaetica et Cartographica Sinica | Year: 2014

A more concise formula of the meridian arc length was obtained by introduced two new parameters: the third flattening and the Gauss hypergeometric function. From another perspective, the simplified formula is also can be explained by a Taylor series expansion. By this, we got error estimate of the formula in terms of the Lagrange form of the remainder. For numerical verification of the error estimate theory, application example was presented by using the WGS84 data. The results show that experimental data are consistent with the error estimate theory and the simplified formula is more precise than the standard one.


Wang L.,East China Institute of Technology | Wang L.,Wuhan University | Wang L.,Jiangxi Province Key Laboratory for Digital Land | Xu C.,Wuhan University | Wen Y.,Wuhan University
Cehui Xuebao/Acta Geodaetica et Cartographica Sinica | Year: 2013

While gross errors are contained in the observations, through the use of InSAR coseismic deformation data obtained from the ESA Envisat/ASAR images and with LN algorithm, the fault parameters of Okada rectangle dislocation model in the elastic half-space can be calculated for Qinghai Dacaidan Mw6.3 earthquake on 10 November, 2008. The earthquake fault inversion results of depth, dip, length, width, dip-slip, center longitude, center latitude, and strike azimuth are 19.6915 km, 56.8923°, 16.4993 km, 6.8548 km, 0.8326 m, 95.8847°, 37.5295°, and 116.4115° respectively. And the inverted geodetic seismic moment is 3.1084×1018Nm (Mw6.2950), which is consisting with the seismic results. The inversion results has proved that when the observations are contaminated by gross errors, using LN algorithm to deal with structured total least norm problems in L1 norm can effectively drop off the interference caused by those errors, and can fully make use of the prior information and at the same time consider the effects of coefficient matrix errors caused by reasons such as surveying, linearization and so on.

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