Open Journal Systems

Piecewise Curve Fitting Based on Least Square Method in 3D Space

Lihong Xue

Article ID: 1148
Vol 3, Issue 1, 2020, Article identifier:

VIEWS - 388 (Abstract) 310 (PDF)

Abstract

Least squares curve fitting is widely used in various neighborhoods, such as industry, agriculture, and economy. The method of piecewise curve fitting is used to deal with some experimental studies with large amounts of data. It can not only be used for plane space points, but also for three-dimensional space points. Firstly, this article introduces the principles of curve fitting and least squares. Secondly, it clarifies the steps based on least square fitting and gives examples of improvements made based on the principle of least square fitting functions by some scientists. Finally, the piecewise curve fitting in the three-dimensional space is obtained using the least squares piecewise curve fitting. It lays a certain theoretical foundation for drawing the laws between data in three-dimensional space.


Keywords

Least Squares; Curve Fitting; Piecewise Curve Fitting; Three-dimensional Space

Full Text:

PDF


Included Database


References

Xu H, Xue W, Cheng X. A new method of fitting straight lines in 3D space (in Chinese). Bulletin of Surveying and Mapping 2015; 462(9): 32-35. doi: CNKI:SUN:CHTB.0.2015-09-008.

Xue L. Piecewise straight line fitting method based on least square method in three-dimensional space points (in Chinese). Journal of Qiqihar University (Natural Science Edition) 2015; (4): 87-88+92. doi: CNKI:SUN:QQHE.0.2015-04-021.

Chen L, Zheng Y. Study on curve fitting based on least square method. Journal of Wuxi Vocational and Technical College 2012; 11(5): 52-55. doi: 10.3969/j.issn.1671-7880.2012.05.017.

Liu X, Wang Y. Research of automatically piecewise polynomial curve-fitting method based on least-square principle. Science and Technology, Engineering 2014; 14(3): 55-58. doi: CNKI:SUN:KXJS.0.2014-03-013.


DOI: http://dx.doi.org/10.18063/ijmp.v3i1.1148
(388 Abstract Views, 310 PDF Downloads)

Refbacks

  • There are currently no refbacks.


Copyright (c) 2020 Hongxue Li

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.