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Approximating Handwritten Curve by Using Progressive-Iterative Approximation

机译:通过逐步迭代逼近来逼近手写曲线

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In this paper, a given handwritten curve will be approximately converted into a Bezier curve. First, a number of sampled points on the given curve are systematically chosen to guarantee that the Bezier curve can be adequately modeled without the loss of curve characteristics. These points are considered to be the Bezier control points. The Progressive-Iterative Approximation (PIA) is then adopted to construct the interpolating curve. Employing PIA algorithm, Bernstein polynomials are selected to be a blending function of PIA so that this interpolating curve will develop a Bezier curve. This technique will avoid the ill-conditioned circumstance because of using Newton/Lagrange polynomials in curve fitting.
机译:在本文中,给定的手写曲线将近似转换为贝塞尔曲线。首先,系统地选择给定曲线上的许多采样点,以确保可以对Bezier曲线进行充分建模而不会损失曲线特性。这些点被视为Bezier控制点。然后采用渐进迭代逼近法(PIA)构造插值曲线。采用PIA算法,选择伯恩斯坦多项式作为PIA的混合函数,以便该插值曲线将形成贝塞尔曲线。由于在曲线拟合中使用牛顿/拉格朗日多项式,因此该技术将避免出现病态情况。

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