岳仁传达的ISSAC 2019软件演示:计算有理曲线曲面隐式方程的软件包

Shanshan Yao, Yifei Feng, Xiaohong Jia, L. Shen
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引用次数: 1

摘要

隐式是一个用于隐式有理平面曲线和有理张量积曲面的包,基于最先进的隐式技术在Maplesoft上开发。主要函数ImpCurve和ImpSurface返回有理平面曲线或有理张量积曲面的隐式方程。本文还提出了其他常用的函数,如ImpDegree、ImpMatrix和imprule,它们用于确定一般有理曲面的隐式次和隐式矩阵,以及更有效地计算有理直棱曲面的隐式方程。
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ISSAC 2019 software presentations communicated by Yue Ren: a package to compute implicit equations for rational curves and surfaces
Implicit is a package for implicitizing rational planar curves and rational tensor product surfaces, developed on Maplesoft based on the state-of-the-art implicitization techniques. The main functions ImpCurve and ImpSurface return the implicit equation of a rational planar curve or a rational tensor product surface. Other popularly used functions, such as ImpDegree, ImpMatrix and ImpRuled that are used for deciding the implicit degree and the implicit matrix of a general rational surface, and computing the implicit equation of a rational ruled surface in a more efficient way, are also proposed.
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