THE MOVING LINE IDEAL BASIS OF PLANAR RATIONAL CURVES

Authors
COX DA SEDERBERG TW CHEN FL
Citation
Da. Cox et al., THE MOVING LINE IDEAL BASIS OF PLANAR RATIONAL CURVES, Computer aided geometric design, 15(8), 1998, pp. 803-827
Citations number
15
Categorie Soggetti
Computer Science Software Graphycs Programming",Mathematics,Mathematics,"Computer Science Software Graphycs Programming
Journal title
Computer aided geometric design → ACNP
ISSN journal
01678396
Volume
15
Issue
8
Year of publication
1998
Pages
803 - 827
Database
ISI
SICI code
0167-8396(1998)15:8<803:TMLIBO>2.0.ZU;2-4
Abstract
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 serve s to split all degree n curves into [n/2] + 1 equivalence classes. The se classes bear on the determinantal form of the implicit equation of the rational curve. (C) 1998 Elsevier Science B.V.