IMPLICITIZATION OF SURFACES IN ℙ3 IN THE PRESENCE OF BASE POINTS

By Laurent Busé, David A. Cox, C. D'Andrea. 2002

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We show that the method of moving quadrics for implicitizing surfaces in ℙ3 applies in certain cases where base points are present. However, if the ideal defined by the parametrization is saturated, then this method rarely applies. Instead, we show that when the base points are a local complete intersection, the implicit equation can be computed as the resultant of the first syzygies.

Subfields: Algebra and Number Theory, Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/a0d78d086076957657d9f7799bf927b4685dbd0b