The moving line ideal basis of planar rational curves

被引：104

作者：

Cox, DA

Sederberg, TW ^{[1
]}

Chen, FL

机构：

[1] Brigham Young Univ, Dept Civil Engn, Provo, UT 84602 USA

[2] Amherst Coll, Dept Math & Comp Sci, Amherst, MA 01002 USA

[3] Univ Sci & Technol China, Hefei, Peoples R China

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 1998年 / 15卷 / 08期

关键词：

rational curves; implicitization; ideals;

D O I：

10.1016/S0167-8396(98)00014-4

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This paper shows that the ideal of any degree n planar rational curve can be generated by two polynomials that: are each linear in x, y and degree n(1) and n(2) (greater than or equal to n(1)) in t, n(1) + n(2) = n. The value of n(1) is fixed for a given rational curve, and serves to split all degree n curves into [n/2] + 1 equivalence classes. These classes bear on the determinantal form of the implicit equation of the rational curve. (C) 1998 Elsevier Science B.V.

引用

页码：803 / 827

页数：25

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