Results 231 to 240 of about 62,613 (263)
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Rational cubic curves as BR-curves
Computer Aided Geometric Design, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jean-Charles Fiorot +2 more
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Implicitization of Rational Curves
2006A new technique for finding the implicit equation of a rational curve is investigated. It is based on efficient computation of the Bezout resultant and Lagrange interpolation. One of the main features of our approach is that it considerably reduces the size of intermediate expressions and results in significant speed-up in the algorithm.
Yongli Sun, Jianping Yu
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Pipe surfaces with rational spine curve are rational
Computer Aided Geometric Design, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei Lü, Helmut Pottmann
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On the geometry of rational Bézier curves
2021Summary: The purpose of this paper is to assign a movable frame to an arbitrary point of a rational Bézier curve on the 2-sphere \(S^{2}\) in Euclidean 3-space \(\mathbb R^{3}\) to provide a better understanding of the geometry of the curve. Especially, we obtain the formula of geodesic curvature for a quadratic rational Bézier curve that allows a ...
Tukel, Gozde Ozkan +2 more
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Interval implicitization of rational curves
Computer Aided Geometric Design, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Falai Chen, Lin Deng
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Rational curves with polynomial parameterization
CAD Computer Aided Design, 1991In graphics and modelling it is very useful to know if a curve presented as a rational space curve has a polynomial parametrization. It is known that a rational algebraic curve is polynomially parametrizable iff it has one place at infinity. This criterion has been used in earlier methods, but the resulting algorithms are complicated.
Dinesh Manocha
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Curve design with rational Pythagorean-hodograph curves
Advances in Computational Mathematics, 1995The author treats the problem of effectively constructing parallel curves (``offset curves'' in engineering language). The problem with parallel curves in computational geometry naturally is the irrationality introduced by the computation of the unit normal. Since the unit normal can be rationally parametrized as point on the unit circle as function of
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Improperly parametrized rational curves
Computer Aided Geometric Design, 1986Improperly parametrized curves, expressed in a parametric representation, are those which do not have a one-to-one correspondence between values of the parameter and points on the curve. The purpose of this paper is to present an algorithm for detecting whether a curve expressed parametrically in terms of rational functions is improperly parametrized ...
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Rational Curves on Complex Manifolds
Milan Journal of Mathematics, 2013Let \(X\) be a complex compact manifold. A rational curve is a non-constant morphism \(\mathbb P^1 \rightarrow X\). Since the classification of smooth projective surfaces by the Italian school and, more recently, since the seminal papers of \textit{S. Mori} [Ann. Math. (2) 110, 593--606 (1979; Zbl 0423.14006)], Ann. Math.
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