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Construction of rational surface patches bounded by lines of curvature
Computer Aided Geometric Design, 2010 International audienceThe fact that the Darboux frame is rotation-minimizing along lines of curvature of a smooth surface is invoked to construct rational surface patches whose boundary curves are lines of curvature.
Rida T Farouki
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On the Parameterization of Rational Ringed Surfaces and Rational Canal Surfaces
Mathematics in Computer Science, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bohumír Bastl +4 more
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PN surfaces and their convolutions with rational surfaces
Computer Aided Geometric Design, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miroslav Lávicka, Bohumír Bastl
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Rational curves and surfaces with rational offsets
Computer Aided Geometric Design, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Quarterly Journal of Mathematics, 2001
In this work, infinitely many families of rational minimal surfaces in Euclidean 3-space are constructed. A rational minimal surface is a complete conformal non-planar minimal immersion whose Weierstrass representation is defined on the Riemann 2-sphere punctured at finitely many points (the puncture points are mapped by the Weierstrass representation ...
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In this work, infinitely many families of rational minimal surfaces in Euclidean 3-space are constructed. A rational minimal surface is a complete conformal non-planar minimal immersion whose Weierstrass representation is defined on the Riemann 2-sphere punctured at finitely many points (the puncture points are mapped by the Weierstrass representation ...
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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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Rational surfaces and moduli spaces of vector bundles on rational surfaces
Archiv der Mathematik, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Costa, Laura, Miró-Roig, Rosa M.
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Rational Ruled Surfaces and Their Offsets
Graphical Models and Image Processing, 1996Abstract 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 BIRATIONAL AUTOMORPHISMS OF RATIONAL SURFACES
Mathematics of the USSR-Izvestiya, 1992Let \(F\) be a smooth rational projective surface over a perfect field \(k\). The authors give a description of generators and relations in the group of birational \(k\)-automorphisms \(\text{Bif}_ kF\) of \(F\) for some classes of \(F\). The results are a complement of previous results on \(\text{Bif}_ kF\) by Manin, Gizatulin, Kantor, Weinstein and ...
Iskovskikh, V. A., Tregub, S. L.
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