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Proper real reparametrization of rational ruled surfaces

Computer Aided Geometric Design, 2011
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CARLOS Andradas, Tomáš Recio, Luis Felipe Tabera   +2 more
exaly   +3 more sources

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The mu-basis of a rational ruled surface

Computer Aided Geometric Design, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Falai Chen, Jianmin Zheng, Thomas W Sederberg   +2 more
exaly   +2 more sources

Reparametrization of a rational ruled surface using the μ-basis

Computer Aided Geometric Design, 2003
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Falai Chen
exaly   +3 more sources

Computing self-intersection curves of rational ruled surfaces

Computer Aided Geometric Design, 2009
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Xiaohong Jia, Falai Chen, Jiansong Deng   +2 more
exaly   +3 more sources

Rational Ruled Surfaces and Their Offsets

Graphical Models and Image Processing, 1996
Abstract In this paper, geometric design problems for rational ruled surfaces are studied. We investigate a line geometric control structure and its connection to the standard tensor product B-spline representation, the use of the Klein model of line space, and algorithms for geometry processing.
Helmut Pottmann, Wei Lü, Bahram Ravani
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On Rational Surfaces Ruled by Conics

Communications in Algebra, 2003
Abstract We study projective rational surfaces ruled by conics, describing their singularities and special fibres. In particular, if Sis smooth, we give a “canonical” procedure to determine a minimal model among the geometrically ruled surfaces birational to S.
BRUNDU, MICHELA, SACCHIERO, GIANNI
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On the Moduli of Curves on Rational Ruled Surfaces

American Journal of Mathematics, 1987
Here the author studies the coarse moduli space of curves on a rational geometrically ruled surface \(F_ e\). For an open very explicit subset of these curves the author gets a fine moduli scheme. The key tool is the geometric invariant theory for actions of non reductive groups developed by the author in Compos. Math. 55, 63-87 (1985; Zbl 0577.14037).
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On Finite Morphisms of Rational Ruled Surfaces

Mathematische Nachrichten, 1992
The author investigates morphisms related to the rational ruled surfaces \(F_ e= \mathbb{P}({\mathcal O}_{\mathbb{P}^ 1}\oplus{\mathcal O}_{\mathbb{P}^ 1}(-e))\) of invariant \(e \geq 0\) defined over an algebraically closed field \(k\), in the following situations: (i) morphisms \(\varphi:F_{e'} \to F_ e\) whose image is not contained in a fibre, (ii)
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