Title :
Approximating Online Handwritten Image by Bézier Curve
Author :
Nuntawisuttiwong, Taweechai ; Dejdumrong, Natasha
Author_Institution :
Dept. of Comput. Eng., King Mongkut´´s Univ. of Technol. Thonburi, Bangkok, Thailand
Abstract :
In this paper, a Bezier curve is construct to represent a hand-drawn image, expressed in the forms of a set of consecutive dots. Using input´s sampling points, an online handwritten curve is converted into a vectored curve by Newton-Lagrange interpolation. Although Newton-Lagrange curve can be used well in the approximation of the handwritten curve, their polynomials are not appropriate in the applications of computer aided geometric design (CAGD). Therefore, Newton-Lagrange curve will then be converted into a corresponding Bezier curve. Ultimately, the final result from the conversion can be expressed in the forms of the Bezier control points. As a result, these Bezier curve represents the given handwritten curve image.
Keywords :
CAD; Newton method; computer graphics; curve fitting; image sampling; polynomial approximation; Bezier control points; Bezier curve; CAGD; Newton polynomials; Newton-Lagrange curve; Newton-Lagrange interpolation; computer aided geometric design; consecutive dot set; hand-drawn image; handwritten curve approximation; handwritten curve image; input sampling points; online handwritten curve; online handwritten image approximation; vectored curve; Approximation algorithms; Interpolation; Matrix converters; Polynomials; Shape; Vectors; Bezier Curve; Lagrange Polynomial; Monomial Matrix; Newton Polynomial;
Conference_Titel :
Computer Graphics, Imaging and Visualization (CGIV), 2012 Ninth International Conference on
Conference_Location :
Hsinchu
Print_ISBN :
978-1-4673-2335-2
Electronic_ISBN :
978-0-7695-4778-7
DOI :
10.1109/CGIV.2012.24