Adjustment Algorithm with Spherical Constraint and Application
Abstract Aiming at solving the ill-conditioned problem caused by inadequate observation, inadequate utilization of parameter physical information and prior information in measurement data processing, this paper transforms the measurement adjustment problem into a convex quadratic programming problem by constraining the parameters with prior information, and proposes an adjustment model with spherical constraints. Based on the optimization theory and Kuhn-Tucker condition, the adjustment problem under spherical constraints is studied, and a solution method is proposed for the model. The results of numerical simulation and practical application of trilateration network show that this method has obvious better estimation in dealing with ill-conditioned problems, and can be widely used in geodetic ill-conditioned data processing.
Key words :
spherical constraints
least squares
morbid problems
Kuhn-Tucker condition
prior information
Cite this article:
ZUO Tingying,CHEN Bangju,SONG Yingchun. Adjustment Algorithm with Spherical Constraint and Application[J]. jgg, 2020, 40(1): 71-76.
ZUO Tingying,CHEN Bangju,SONG Yingchun. Adjustment Algorithm with Spherical Constraint and Application[J]. jgg, 2020, 40(1): 71-76.
URL:
http://www.jgg09.com/EN/ OR http://www.jgg09.com/EN/Y2020/V40/I1/71
[1]
ZHAI Xinyi,PAN Guangyong,CHEN Yang,LIU Guolin. L-Curve Characteristic Value Correction Iteration Method for SBAS-InSAR Deformation Inversion [J]. jgg, 2021, 41(4): 403-407.
[2]
ZHAO Shaojie,SONG Yingchun,DENG Caihua. A New Algorithm for Solving Inequality Constrained Rank Deficient Adjustment Problem
[J]. jgg, 2020, 40(4): 417-421.
[3]
XIA Yuguo,SONG Yingchun. Application of Bounded Ellipsoid Uncertainty Adjustment Algorithm to Ill-Conditioned Problem [J]. jgg, 2019, 39(9): 956-959.
[4]
LIU Jie,ZHANG Juanjuan. A Processing Method of Ill-Posed Problems Based on Conjugate Gradient Search [J]. jgg, 2019, 39(8): 863-868.
[5]
XIA Yuguo,SONG Yingchun,XIE Xuemei. Subspace Truncation Newton Method for Parameter-Bounded Adjustment Problem [J]. jgg, 2019, 39(2): 184-188.
[6]
JI Kunpu. A Regularized Solution and Accuracy Evaluation of Ill-PosedTotal Least Squares Problem with Equality Constraints [J]. jgg, 2019, 39(12): 1304-1309.
[7]
JIANG Pan;YOU Wei. The Improved Iteration Method by Correcting Characteristic Value for Transformation of Three-Dimensional Coordinates Based on Large Rotation Angle and Quaternions [J]. jgg, 2019, 39(11): 1182-1187.
[8]
TAO Wuyong,HUA Xianghong,LU Tieding,CHEN Xijiang,ZHANG Wei. A Total Least Squares Algorithm for Non-Equidistant GM(1,1) Model and Its Ill-Posed Problem [J]. jgg, 2019, 39(1): 45-50.
[9]
XIAO Zhaobing,SONG Yingchun,XIE Xuemei. Application of Parameters with Ellipsoidal Constraints in Adjustment Algorithm [J]. jgg, 2018, 38(9): 964-967.
[10]
DENG Xingsheng,HUANG Xiaopeng,PENG Sichun. Weighted Total Least-Squares Adjustment with Partial Prior Random Parameter [J]. jgg, 2018, 38(9): 968-973.
[11]
ZHAO Zhe,ZUO Tingying,SONG Yingchun. A Method for Solving Ill-Posed Problems with Fuzzy Prior Information [J]. jgg, 2018, 38(5): 524-528.
[12]
YU Dongdong,WANG Leyang. Iteration Method by Correcting Characteristic Values to
Ill-posed Total Least Squares Problem [J]. jgg, 2015, 35(4): 702-706.
[13]
Zhang Chao,Dai Wujiao,Zeng Fanhe,Pan Jiabao. ROBUST KALMAN FILTERING BASED ON RPDOP VALUE IN
DEFORMATION MONITORING USING GPS [J]. jgg, 2014, 34(1): 100-103.
[14]
Deng Xingsheng, Cheng Shiqiao, Ding Meiqing. DEFORMATION MONITORING NETWORK ADJUSTMENT WITH
CONSIDERING PRIOR INFORMATION [J]. jgg, 2013, 33(2): 45-48.
[15]
Zhao Xin;Wu Kan;and Cai Lailiang;. NOISE ELIMINATION ALGORITHMS FOR TERRESTRIAL 3D LASER SCANNING DATA WITH PRIORI INFORMATION [J]. , 2011, 31(4): 107-111.