A KIND OF PARAMETRIC CURVE FITTING IN ENGINEERING SURVEY
Chen Jiwei
Shanghai Institute of Geological Survey, Shanghai 200072
Abstract Some particular parametric curves are usually seen in engineering survey,whose types are known but whose parameters are unknown. Differing from traditional least square distance fitting, this paper presents a model of parametric curve fitting, which is based on Euclid distance. Parametric roots of these curves are derived by extracting nonlinear equation. The digital results show that this method can get stable solution with high precision and it can be easily adopted for other parametric curves because of its simply deduced formulas.
Key words :
engineering survey
parametric curve
nonlinear equation
least square
fitting
Received: 01 January 1900
Corresponding Authors:
Chen Jiwei
[1]
HE Chengwen,YUAN Yunbin,TAN Bingfeng. An Iterative Least Squares Algorithm Based on UWB TDOA Positioning Model [J]. jgg, 2021, 41(8): 806-809.
[2]
FAN Di,LI Li,LIU Yan,WEI Ye,WEI Yun,ZHOU Jialing,LIU Yu. Research on Direct Conversion Model of GNSS Precipitable [J]. jgg, 2021, 41(6): 628-632.
[3]
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.
[4]
ZOU Shilin,WU Xing,WANG Fengwei. Regularized Robust Solution for Ill-Posed Weighted Total Least Squares Model [J]. jgg, 2021, 41(11): 1106-1110.
[5]
. [J]. jgg, 2020, 40(S3): 1-3.
[6]
. [J]. jgg, 2020, 40(S3): 7-10.
[7]
. [J]. jgg, 2020, 40(S1): 121-122.
[8]
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.
[9]
Lü Yongqing, XIANG Ya, ZHOU Yunyao, QI Junwei, WU Huan, PENG Jing. Study on Method of Eliminating Seismometer Step Calibration Signal [J]. jgg, 2020, 40(7): 761-764.
[10]
CHEN Pengyu. Improvement of GM(1,1) Power Model and Its Application on Settlement Prediction
[J]. jgg, 2020, 40(5): 457-463.
[11]
YANG Qiuwei,BAI Zhichao,LI Cuihong. Biased Estimation Method Based on Neumann Series [J]. jgg, 2020, 40(5): 512-516.
[12]
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.
[13]
LIU Dong,CUI Xingping,WANG Qinghua,MU Baosheng,ZHANG Yong. Influence of Least Squares Weighting Method on Gravity Calculation Results [J]. jgg, 2020, 40(12): 1233-1236.
[14]
SUN Wenzhou,YIN Xiaodong,XIA Wenjie. Analysis of the Influence of Sound Velocity Error on Sailing-Circle Positioning Method for Seafloor Control Points [J]. jgg, 2020, 40(12): 1299-1302.
[15]
WANG Leyang,XU Ranran. Robust Weighted Total Least Squares Algorithm for Three-Dimensional Coordinate Transformation [J]. jgg, 2020, 40(10): 1027-1033.