Moving curve ideals of rational plane parametrizations

Carlos D'Andrea

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arXiv · 1308.6790

Moving curve ideals of rational plane parametrizations

Carlos D'Andrea

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Abstract

In the nineties, several methods for dealing in a more efficient way with the implicitization of rational parametrizations were explored in the Computer Aided Geometric Design Community. The analysis of the validity of these techniques has been a fruitful ground for Commutative Algebraists and Algebraic Geometers, and several results have been obtained so far. Yet, a lot of research is still being done currently around this topic. In this note we present these methods, show their mathematical formulation, and survey current results and open questions.

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Carlos D'Andrea. 2014-01-24. Moving curve ideals of rational plane parametrizations. https://arxiv.org/abs/1308.6790

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