Please use this identifier to cite or link to this item: https://doi.org/10.1007/BF01902137
Title: Using multivariate resultants to find the implicit equation of a rational surface
Authors: Chionh, E.-W. 
Goldman, R.N.
Keywords: Implicit degree
Implicitization
Multivariate resultants
Number of correspondence
Parametric degree
Rational surfaces
Unfaithful parametriczations
Issue Date: May-1992
Source: 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. https://doi.org/10.1007/BF01902137
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
URI: http://scholarbank.nus.edu.sg/handle/10635/99458
ISSN: 01782789
DOI: 10.1007/BF01902137
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