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2010•Unpublished venueRequires access

IMPLICITIZATION USING UNIVARIATE RESULTANTS

Yuan Key

Open publisher page 1 citations

Abstract

Among several implicitization methods,the method based on resultant computation is a simple and direct one,but it often brings extraneous factors which are difficult to remove.This paper studies a class of rational space curves and rational surfaces by implicitization with univariate resultant computations.This method is more efficient than the other algorithms in finding implicit equations for this class of rational curves and surfaces.

About this research paper

What this paper is about

Among several implicitization methods,the method based on resultant computation is a simple and direct one,but it often brings extraneous factors which are difficult to remove.This paper studies a class of rational space curves and rational surfaces by implicitization with univariate resultant computations.This method is more efficient than the other algorithms in finding implicit equations for this class of rational curves and surfaces.

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Available abstract

Among several implicitization methods,the method based on resultant computation is a simple and direct one,but it often brings extraneous factors which are difficult to remove.This paper studies a class of rational space curves and rational surfaces by implicitization with univariate resultant computations.This method is more efficient than the other algorithms in finding implicit equations for this class of rational curves and surfaces.

Key concepts: Univariate, Mathematics, Computation, Class (philosophy), Applied mathematics, Simple (philosophy), Algebra over a field, Space (punctuation)

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