Results 231 to 240 of about 141,401 (262)

PN surfaces and their convolutions with rational surfaces

Computer Aided Geometric Design, 2008
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Miroslav Lávicka, Bohumír Bastl
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Rational Minimal Surfaces

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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Pipe surfaces with rational spine curve are rational

Computer Aided Geometric Design, 1996
zbMATH 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, 2002
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Costa, Laura, Miró-Roig, Rosa M.
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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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A Special Rational Surface

Two projective varieties are said to be Cremona equivalent if there is a Cremona modification sending one onto the other. In the last decade, Cremona equivalence has been investigated widely, and we now have a complete theory for non-divisorial reduced schemes.
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The sphere as a rational Bézier surface

Computer Aided Geometric Design, 1986
The rational Bézier approximation scheme for the surfaces looks like \[ s(u,v)=\sum^{2}_{i,j=0}h_{ij}b_{ij}B_ i(u)B_ j(v)/\sum^{2}_{i,j=0}h_{ij}B_ i(u)B_ j(v);\quad u,v\in [0,1], \] where the \(h_{ij}\) are specially defined parameters, the \(b_{ij}\in {\mathbb{R}}^ 3\) form a ``Bézier net'' and the \(B_ i\) are second order Berstein polynomials.
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Drawing closed rational surfaces

Proceedings of the thirteenth annual symposium on Computational geometry - SCG '97, 1997
Jean Gallier Department of Computer and Information Science University of Pennsylvania Philadelphia, PA 19104, USA jean@saul.cis.upenn.edu Abstract. In this short paper, we consider the practical problem of drawing a closed rational surface speci ed by a net of control points.
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RATIONAL SURFACES WITH A PENCIL OF RATIONAL CURVES

Mathematics of the USSR-Sbornik, 1967
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Entropy of Real Rational Surface Automorphisms

Experimental Mathematics, 2021
Kyounghee Kim, Jeffrey Diller
exaly