Towards factoring bivariate approximate polynomials
Proceedings of the 2001 international symposium on Symbolic and algebraic computation
A formula for separating small roots of a polynomial
ACM SIGSAM Bulletin
Parametrization of approximate algebraic curves by lines
Theoretical Computer Science - Algebraic and numerical algorithm
Parametrization of approximate algebraic surfaces by lines
Computer Aided Geometric Design
Distance bounds of ε-points on hypersurfaces
Theoretical Computer Science
Approximate factorization of multivariate polynomials using singular value decomposition
Journal of Symbolic Computation
Rational Algebraic Curves: A Computer Algebra Approach
Rational Algebraic Curves: A Computer Algebra Approach
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In this talk we deal with the problem of parametrizing approximately a perturbed rational affine plane curve implicitly given. We present some of our recent results (see [3], [4], [5], [6]) and we describe our on going research in this context. More precisely, we focus on our approximate parametrization algorithm in [6], and we present an empirical analysis that shows that the input and output curves of the algorithm are close in practice.