Geodesic
Least squares data fitting with quadratic Bezier curves
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2013), pp. 42-49.

Voir la notice de l'article provenant de la source Math-Net.Ru

In the present paper a numerical algorithm to construct quadratic Bezier curves for data fitting by least squares method is developed. The problem is solved by constructing so-called minimizing sequence of control points.
Keywords: data fitting, least squares method, Bezier curve. 
@article{UZERU_2013_2_a6,
     author = {Nouri A. Suleiman},
     title = {Least squares data fitting with quadratic {Bezier} curves},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {42--49},
     publisher = {mathdoc},
     number = {2},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2013_2_a6/}
}
TY  - JOUR
AU  - Nouri A. Suleiman
TI  - Least squares data fitting with quadratic Bezier curves
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2013
SP  - 42
EP  - 49
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2013_2_a6/
LA  - en
ID  - UZERU_2013_2_a6
ER  - 
%0 Journal Article
%A Nouri A. Suleiman
%T Least squares data fitting with quadratic Bezier curves
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2013
%P 42-49
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2013_2_a6/
%G en
%F UZERU_2013_2_a6
Nouri A. Suleiman. Least squares data fitting with quadratic Bezier curves. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2013), pp. 42-49. http://geodesic.mathdoc.fr/item/UZERU_2013_2_a6/

[1] A. Bjorck, Numerical Methods for Least Squares Problems, SIAM, Philadelphia, PA, 1996 | MR | Zbl

[2] G. Farin, Curves and Surfaces for Computer Aided Geometric Design, Academic Press, Boston, 1997 | MR | Zbl

[3] D.F. Rogers, J.A. Adams, Mathematical Elements for Computer Graphics, McGraw-Hill Inc., NY, 1990

[4] C.F. Borges, T. Pastva, “Total Least Squares Fitting of Bezier and B-Spline Curve to Ordered Data”, Computer Aided Geometric Design, 19 (2002), 275–289 | DOI | MR | Zbl

[5] H.H. Chang, H. Yau, “Vectorization of Hand-Drawn Image Using Piecewise Cubic Bezier Curves Fitting”, Pattern Recognition, 31:11 (1998), 1747–1755 | DOI

[6] A. Quarteroni, R. Sacco, F. Saleri, Numerical Mathematics, Springer, 2007 | MR | Zbl

[7] M. Becker, W. Hauger, “On the Determination of the Roots of Polynomials”, Mechanics Research Communications, 7:4 (1980), 247–252 | DOI | Zbl

[8] Yu.R. Hakopian, Nouri A. Suleiman, “An Algorithm for Least Squares Approximation by Quadratic Bezier Curves”, Proceedings of State Engineering University of Armenia: Modelling, Optimization, Control, 13:1 (2010), 136–144