Please use this identifier to cite or link to this item:
Title: Using multivariate resultants to find the implicit equation of a rational surface
Authors: Chionh, E.-W. 
Goldman, R.N.
Keywords: Implicit degree
Multivariate resultants
Number of correspondence
Parametric degree
Rational surfaces
Unfaithful parametriczations
Issue Date: May-1992
Citation: Chionh, E.-W.,Goldman, R.N. (1992-05). Using multivariate resultants to find the implicit equation of a rational surface. The Visual Computer 8 (3) : 171-180. ScholarBank@NUS Repository.
Abstract: Given a parametrization of a rational surface, the absence of base points is shown to be a necessary and sufficient condition for the auxiliary resultant to be a power of the implicit polynomial. The method of resultants also reveals other important properties of rational surface representations, including the coefficients of the implicit equation, the relationship between the implicit and parametric degrees, the degree of each coordinate variable of the implicit equation, and the number of correspondence of the parametrization. © 1992 Springer-Verlag.
Source Title: The Visual Computer
ISSN: 01782789
DOI: 10.1007/BF01902137
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.


checked on Sep 18, 2019

Page view(s)

checked on Sep 21, 2019

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.