Results 21 to 30 of about 2,014 (239)
On Donaldson polynomials of rational ruled surfaces
Forum Mathematicum, 1996 Let \(\pi:X= \mathbb{F}_e\to\mathbb{P}^1\) be a rational ruled surface, where \(e\) is a nonnegative integer. Let \(f\) be a fibre of \(\pi\) and \(\sigma\) be a section to \(\pi\) with \(\sigma^2=-e\). Fix an integer \(c\). An ample divisor \((a\sigma+bf)\) is defined to be \(c\)-suitable if \(b/a> (c+e)/2\).
Li, Wei Ping
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Implicitization of rational ruled surfaces with
Journal of Symbolic Computation, 2009 Chen, Sederberg, and Zheng introduced the notion of a $μ$-basis for a rational ruled surface in Chen et al. (2001) and showed that its resultant is the implicit equation of the surface, if the parametrization is generically injective. We generalize this result to the case of an arbitrary parametrization.
Dohm, Marc, Marc Dohm
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On a Certain Class of Rational Ruled Surfaces [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 1919 Arnold Emch
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Proper Reparametrization of Rational Ruled Surface [PDF]
2007 10th IEEE International Conference on Computer-Aided Design and Computer Graphics, 2007 In this paper, we present a proper reparametrization algorithm for rational ruled surfaces. That is, for an improper rational parametrization of a ruled surface, we construct a proper rational parametrization for the same surface. The algorithm consists of three steps.
Jia Li 0023, Liyong Shen, Xiao-Shan Gao
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The Gaussian map for rational ruled surfaces [PDF]
Transactions of the American Mathematical Society, 1992 In this paper the Gaussian map Φ :
Duflot, Jeanne, Miranda, Rick
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DESIGNING OF DEVELOPED SURFACES OF COMPLEX PARTS
Nauka ta progres transportu, 2017 Purpose. The paper focuses on ensuring the rational choice of parameters of the mating surfaces of parts when designing process equipment based on the methods of artificial intelligence. Methodology.
S. S. Tyshchenko +3 more
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Coverings of Rational Ruled Normal Surfaces [PDF]
, 2018 In this work we use arithmetic, geometric, and combinatorial techniques to compute the cohomology of Weil divisors of a special class of normal surfaces, the so-called rational ruled toric surfaces. These computations are used to study the topology of cyclic coverings of such surfaces ramified along Q-normal crossing divisors.
Bartolo, Enrique Artal +2 more
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A symbolic-numeric approach for parametrizing ruled surfaces [PDF]
, 2020 This paper presents symbolic algorithms to determine whether a given surface (implicitly or parametrically defined) is a rational ruled surface and find a proper parametrization of the ruled surface.
Pérez Díaz, Sonia, Shen, Li-Yong
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Revisiting the μ-basis of a rational ruled surface
Journal of Symbolic Computation, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, W, Chen, F
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