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An Improved Moving Least Squares Method for Curve and Surface Fitting
Joint Authors
Zhang, Lei
Gu, Tianqi
Zhao, Ji
Ji, Shijun
Hu, Ming
Li, Xiangbo
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-20
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The moving least squares (MLS) method has been developed for the fitting of measured data contaminated with random error.
The local approximants of MLS method only take the error of dependent variable into account, whereas the independent variable of measured data always contains random error.
Considering the errors of all variables, this paper presents an improved moving least squares (IMLS) method to generate curve and surface for the measured data.
In IMLS method, total least squares (TLS) with a parameter λ based on singular value decomposition is introduced to the local approximants.
A procedure is developed to determine the parameter λ.
Numerical examples for curve and surface fitting are given to prove the performance of IMLS method.
American Psychological Association (APA)
Zhang, Lei& Gu, Tianqi& Zhao, Ji& Ji, Shijun& Hu, Ming& Li, Xiangbo. 2013. An Improved Moving Least Squares Method for Curve and Surface Fitting. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1008565
Modern Language Association (MLA)
Zhang, Lei…[et al.]. An Improved Moving Least Squares Method for Curve and Surface Fitting. Mathematical Problems in Engineering No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-1008565
American Medical Association (AMA)
Zhang, Lei& Gu, Tianqi& Zhao, Ji& Ji, Shijun& Hu, Ming& Li, Xiangbo. An Improved Moving Least Squares Method for Curve and Surface Fitting. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1008565
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008565