Approximating Online Handwritten Image by Bézier Curve

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.