Results 111 to 120 of about 2,136 (139)
Contour curves and isophotes on rational ruled surfaces [PDF]
Computer Aided Geometric Design, 2018 Ruled surfaces, i.e., surfaces generated by a one-parametric set of lines, are widely used in the field of applied geometry. An isophote on a surface is a curve consisting of those surface points whose normals form a constant angle with a fixed vector ...
Jan Vršek
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Affine equivalences, isometries and symmetries of ruled rational surfaces [PDF]
Journal of Computational and Applied Mathematics, 2020 An algorithmic method is presented for computing all the affine equivalences between two rational ruled surfaces defined by rational parametrizations. The algorithm works directly in parametric rational form, i.e.
Juan G Alcazar, Emily Quintero
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Proper real reparametrization of rational ruled surfaces
Computer Aided Geometric Design, 2011 Let K subset of R be a computable field. We present an algorithm to decide whether a proper rational parametrization of a ruled surface, with coefficients in K((i), can be properly reparametrized over a real (i.e. embedded in R) finite field extension of
Tomás Recio +2 more
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Conchoid surfaces of rational ruled surfaces [PDF]
Computer Aided Geometric Design, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Juana Sendra
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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.
Li-Yong Shen, Xiaoshan Gao
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Some of the next articles are maybe not open access.
The mu-basis of a rational ruled surface
Computer Aided Geometric Design, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jianmin Zheng +2 more
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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 Rational Surfaces Ruled by Conics
Communications in Algebra, 2003Abstract 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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Rational-Ruled Surfaces: Implicitization and Section Curves
Graphical Models and Image Processing, 1995Abstract This paper shows how to express the implicit equation of a degree 1 × n tensor product rational surface as a determinant of dimension at most n × n . If the rational surface has base points whose multiplicities sum to p , the implicit equation can still be expressed in a single determinant with no extraneous factors.
Thomas W. Sederberg, Takafumi Saito
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