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Certified Rational Parametric Approximation of Real Algebraic Space Curves with Local Generic Position Method
[article]
2012
arXiv
pre-print
In this paper, an algorithm to compute a certified G^1 rational parametric approximation for algebraic space curves is given by extending the local generic position method for solving zero dimensional polynomial equation systems to the case of dimension one. By certified, we mean the approximation curve and the original curve have the same topology and their Hausdauff distance is smaller than a given precision. Thus, the method also gives a new algorithm to compute the topology for space
arXiv:1204.0905v1
fatcat:xoutidjlurbt7juc2ylsxq5qpu