Using polynomial interpolation for implicitizing algebraic curves

A. Marco; J.J. Martinez

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Using polynomial interpolation for implicitizing algebraic curves

机译：使用多项式内插法隐含代数曲线

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摘要

A simple algorithm for finding the implicit equation of a rational plane algebraic curve given by its parametric equations is presented. The algorithm is based on an efficient computation of the resultant by means of classical bivariate polynomial interpolation. One of the main features of the used approach is the fact that it considerably reduces the problem of intermediate expression swell, which is usually present in many computer algebra algorithms.

机译：提出了一种简单的算法，该算法可以找到有理平面代数曲线的参数方程式给出的隐式方程式。该算法基于经典二元多项式插值法对结果的有效计算。使用的方法的主要特征之一是它大大减少了中间表达膨胀问题，这一事实通常出现在许多计算机代数算法中。

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《Computer Aided Geometric Design》 |2001年第4期|p.309-319|共11页
作者
A. Marco; J.J. Martinez;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类计算机的应用;
关键词
Implicitization; Curve; Resultant; Interpolation;

机译：隐含曲线;结果;插补;

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2. Efficient algorithms for obtaining algebraic invariants from higher degree implicit polynomials for recognition of curved objects [J] . Kaveti S., Wang H., Teoh EK. Pattern Recognition: The Journal of the Pattern Recognition Society . 1998,第3期

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Using polynomial interpolation for implicitizing algebraic curves

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