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ABSTRACT
Motivated by revived interest in elimination techniques, we survey methods for constructing bivariate and multivariate resultants. This tutorial consists of two parts: Part 1 introduces elimination theory, presents properties of resultants, and develops explicit expressions for bivariate resultants; Part 2 explains multivariate resultants and includes the Dixon and Macaulay resultants as well as special resultant expressions for three polynomials of the same degree.
INDEX TERMS
elimination theory, resultants, geometric modeling
CITATION
Chionh Eng Wee, Ronald N. Goldman, "Elimination and Resultants - Part 1: Elimination and Bivariate Resultants", IEEE Computer Graphics and Applications, vol. 15, no. , pp. 69-77, January 1995, doi:10.1109/38.364967
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