用bsamizier曲线逼近在线手写图像

Taweechai Nuntawisuttiwong, N. Dejdumrong
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引用次数: 7

摘要

本文构造了一条贝塞尔曲线来表示一幅手绘图像,用一组连续点的形式表示。利用输入的采样点,通过牛顿-拉格朗日插值将在线手写曲线转换为矢量曲线。虽然牛顿-拉格朗日曲线可以很好地逼近手写曲线,但其多项式不适用于计算机辅助几何设计(CAGD)的应用。因此,牛顿-拉格朗日曲线将被转换成相应的贝塞尔曲线。最后,转换的最终结果可以用贝塞尔控制点的形式表示。因此,这些贝塞尔曲线表示给定的手写曲线图像。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Approximating Online Handwritten Image by Bézier Curve
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.
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