A new curve-fitting method based on the least-squares theory

被引：0

作者：

Wang, Baiyu ^{[1
]}

Liu, Wei ^{[2
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

[2] Changsha Univ, Dept Informat & Comp Sci, Changsha 410003, Hunan, Peoples R China

来源：

PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE OF MATRICES AND OPERATORS (MAO 2012) | 2012年

关键词：

Curve-fitting; Least-squares; shape function;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new curve-fitting method based on the least-squares theory is introduced. In the present paper, a new shape function is developed as a linear interpolating function of both MLS (moving least squares approximating) and RBF (radial basis function interpolating) and is regularized by a control parameter a, which takes different values in the domain [0,1]. Based on the proposed shape function, the approximate curve has some advantages, such as high accuracy and high smoothness. The experiment shows that this method obtains better fitting effect.

引用

页码：115 / 118

页数：4

共 50 条

[21] A unified approach for least-squares surface fitting
ZHU Limin & DING HanSchool of Mechanical Engineering
Science China(Physics,Mechanics & Astronomy), 2004, (S1) : 72 - 78
[22] NONLINEAR LEAST-SQUARES REFINEMENT WITH CONSTRAINTS - EVALUATION THROUGH CURVE-FITTING ON EMULATED XPS-LIKE SPECTRA AND APPLICATION TO THE ANALYSIS OF CARBON-FIBERS
CEIPIDOR, UB
CATALDI, TRI
DESIMONI, E
SALVI, AM
JOURNAL OF CHEMOMETRICS, 1994, 8 (03) : 221 - 239
[23] A T-wave alternans assessment method based on least squares curve fitting technique
Wan, Xiangkui
Li, Yan
Xia, Chong
Wu, Minghu
Liang, Jin
Wang, Na
MEASUREMENT, 2016, 86 : 93 - 100
[24] The least-squares meshfree method
Park, SH
Youn, SK
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2001, 52 (09) : 997 - 1012
[25] Convergence of an efficient local least-squares fitting method for bases with compact support
Govindjee, Sanjay
Strain, John
Mitchell, Toby J.
Taylor, Robert L.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 213 : 84 - 92
[26] A Curve-fitting Method for Correcting Radial Distortion
Ma, Wenjuan
Liu, Yuncai
PROCEEDINGS OF THE 2009 2ND INTERNATIONAL CONGRESS ON IMAGE AND SIGNAL PROCESSING, VOLS 1-9, 2009, : 2271 - 2274
[27] Research on Cam Curve-fitting based on ANN
Hu, Wanqiang
MECHATRONICS AND INDUSTRIAL INFORMATICS, PTS 1-4, 2013, 321-324 : 2157 - 2160
[28] A Piecewise Curve Fitting Method of Processing Meteorological Detecting Data Based on the Least Squares of Orthogonal Polynomial
Li Jianbao
Zhang Tie
Sun Baojing
Tong Xin
2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 838 - +
[29] A spectral mimetic least-squares method
Bochev, Pavel
Gerritsma, Marc
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 68 (11) : 1480 - 1502
[30] Meshless Galerkin least-squares method
Pan, XF
Zhang, X
Lu, MW
COMPUTATIONAL MECHANICS, 2005, 35 (03) : 182 - 189

← 1 2 3 4 5 →