Approximate implicitization of planar curves by piecewise rational approximation of the distance function

Mohamed Shalaby; Bert Jüttler; Josef Schicho

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Approximate implicitization of planar curves by piecewise rational approximation of the distance function

机译：通过距离函数的分段有理逼近来近似平面曲线的隐式化

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摘要

We present an approximate implicitization method for planar curves. The computed implicit representation is a piecewise rational approximation of the distance function to the given parametric curve.

机译：我们提出了一种平面曲线的近似隐式方法。计算出的隐式表示是距离函数到给定参数曲线的分段有理逼近。

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《Applicable Algebra in Engineering, Communication and Computing》 |2007年第2期|71-89|共19页
作者
Mohamed Shalaby; Bert Jüttler; Josef Schicho;
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作者单位

Institute of Applied Geometry Johannes Kepler University Linz Austria;

Institute of Applied Geometry Johannes Kepler University Linz Austria;

Johannes Radon Institute of Computational and Applied Mathematics Austrian Academy of Sciences Linz Austria;

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正文语种 eng
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关键词
Approximate implicitization; Distance function;

机译：近似隐式;距离函数;

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专利

1. Approximate implicitization of planar curves by piecewise rational approximation of the distance function [J] . Shalaby M, Juttler B, Schicho J Applicable algebra in engineering, communication and computing . 2007,第1a2期

机译：通过距离函数的分段有理逼近来近似平面曲线的隐式化
2. Quadratic Algebraic Curve Approximate Implicitization for Planar Parametric Curves [J] . 先进制造进展：英文版 . 2000,第0S1期

机译：平面参数曲线的二次代数曲线近似隐含
3. PIECEWISE RATIONAL APPROXIMATIONS OF REAL ALGEBRAIC CURVES [J] . C.L. Bajaj, G.L. Xu Journal of Computational Mathematics . 1997,第1期

机译：实数代数曲线的分段有理逼近
4. The preserving GC~1 planar quadratic algebraic curve approximate implicitization for planar parametric curves [C] . Ding Youdong, Hua Xuanji, Chen Changsong, International conference for young computer scientists . 1999

机译：Planar参数曲线的保留GC〜1平面二次代数曲线近似隐式化
5. Parametric offset approximations using rational curves and surfaces. [D] . Jung, Donghak. 1995

机译：使用有理曲线和曲面的参数偏移近似值。
6. PIECEWISE POLYNOMIAL APPROXIMATIONS TO THE ICRP 116 EFFECTIVE DOSE COEFFICIENTS: PHOTONS AND NEUTRONS [O] . M M Mille, N E Hertel, P M Bergstrom, -1

机译：ICRP 116有效剂量系数的分段多项式近似：光子和中子
7. Distance Approximations for Rasterizing Implicit Curves [O] . Gabriel Taubin 1994

机译：栅格化隐式曲线的距离近似
8. Representation of Ice Geometry by Parametric Functions: Construction of Approximating NURBS Curves and Quantification of Ice Roughness--Year 1: Approximating NURBS Curves [R] . Dill, L. H. , Choo, Y. K. 2004

机译：参数函数表示冰几何：近似NURBs曲线的构造和冰粗糙度的量化 - 第1年：近似NURBs曲线

Approximate implicitization of planar curves by piecewise rational approximation of the distance function

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