平面曲线的泊松公式磨光方法研究
Planar Curve Smoothing by Using Possion Equation
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摘要: 曲线磨光光顺是曲线曲面造型中的一个典型问题.利用泊松公式所提供的由平面区域边界表示、定义区域内部的方法,给出一种平面曲线磨光光顺的原理与方法.所生成的磨光曲线具有显式表示形式,并具有任意次可导性,便于应用.Abstract: A new method for smoothing planar curve is presented based on the property of Possion equation to present planar area with its boundary curve.The generated smooth curve has infinite order of derivatives and is easy for use.
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