GEODETIC INVERSION THEORY CONSTRAINED WITH INEQUALITY
Wang Leyang ; and Zhu Jianjun
Department of Surveying and Geomatics, School of Info-Physics and Geomatics Engineering, Central South University, Changsha 410083
Abstract The ununiqueness of estimated parameter is one of the problems in geodetic and geophysical inversion. Getting a best parameter is the research hot and difficulty in inversion problem. Prior information is very important to get the best parameter. The conventional method using the prior information is analysed. The inequality constrained geodetic inversion theory is given to solve the ununiqueness problem with the prior information.The advantages, key point and difficulty of this theory are discussed. The realization and classification method for this theory are given. Through an example this theory is analized.
Key words :
geodetic inversion
prior information
inequality constraints
un-uniqueness
algorithm
Received: 01 January 1900
Corresponding Authors:
Wang Leyang
[1]
HU Yuan,YUAN Xintai,CHEN Xingyang,JIANG Zhihao,LIU Wei. GNSS-IR Model of Sea Level Altimetry Inversion Combining Wavelet Transform with Improved Burg Algorithm [J]. jgg, 2022, 42(1): 21-24.
[2]
LI Xiaohan,ZHENG Jianchang. Study on the Characteristics of Small Earthquake Clustering in Jiaodong Peninsula Area [J]. jgg, 2022, 42(1): 77-81.
[3]
HE Chengwen,YUAN Yunbin,TAN Bingfeng. An Iterative Least Squares Algorithm Based on UWB TDOA Positioning Model [J]. jgg, 2021, 41(8): 806-809.
[4]
YUAN Debao,ZHANG Jian,ZHANG Zhenchao,WEI Shengtao. BDS Clock Error Prediction Based on SAFA-FDGM(1,1) Model [J]. jgg, 2021, 41(7): 672-675.
[5]
MA Xiaojie,LIN Xueyuan,SUN Qiaoyan,CHEN Xiangguang. Improved UKF Algorithm for BDS/SINS Integrated Navigation System [J]. jgg, 2021, 41(4): 351-356.
[6]
JING Lu,WU Bin,LI Xianshuai. Point Cloud Registration Method Based on SAC-IA and NDT Fusion [J]. jgg, 2021, 41(4): 378-381.
[7]
YUAN Zhiming, LI Peihong, LIU Xiaosheng. Study on the Application of Improved PSO-SVM Model Considering Neighbor-Point in the Settlement Prediction of Foundation Pit [J]. jgg, 2021, 41(3): 313-318.
[8]
YANG Heng,YUE Jianping,XING Yin,ZHOU Qinkun. Research on Dam Deformation Prediction Based on Deep Fully Connected Neural Network [J]. jgg, 2021, 41(2): 162-166.
[9]
HU Yan,WANG Desheng,YANG Yufeng. BDS-3 Ultra-Rapid Clock Offset Prediction Based on EM Algorithm Optimized Relevance Vector Machine [J]. jgg, 2021, 41(12): 1230-1234.
[10]
XIE Shaofeng,ZHAO Yun,LI Guohong,ZHOU Zhihao,HUANG Liangke. Prediction of PM2.5 Concentration Based on WPA-WOA-BP Neural Network [J]. jgg, 2021, 41(1): 12-16.
[11]
TAN Jiangtao,WANG Zhangpeng,ZHONG Bo,DING Jian. Application of Self-Adaptive Parameter Selection for Multiquadric Function in GPS Elevation Fitting [J]. jgg, 2020, 40(8): 832-837.
[12]
FAN Chengcheng, ZHANG Jun, LEI Qiankun, WU Yu, HUANG Kangyu. RELSM Model with Additional Inequality Constraints on Euler Vectors and Its Application [J]. jgg, 2020, 40(7): 667-670.
[13]
ZHAO Shaojie,SONG Yingchun,DENG Caihua. A New Algorithm for Solving Inequality Constrained Rank Deficient Adjustment Problem
[J]. jgg, 2020, 40(4): 417-421.
[14]
XIAO Mengren, CHEN Hao, LUO Li, ZHA Xiaohui, GUO Jiangchun. Study on Inelastic Attenuation and Site Response in Jiangxi Area [J]. jgg, 2020, 40(3): 287-290.
[15]
YUAN Debao,ZHANG Jian,ZHAO Chuanwu,DU Shigao,Peng Jinying. GNSS Height Fitting Based on Improved RBF Neural Network [J]. jgg, 2020, 40(3): 221-224.