Results 11 to 20 of about 2,014 (239)
A Survey of the Representations of Rational Ruled Surfaces [PDF]
Journal of Systems Science and Complexity, 2021 The rational ruled surface is a typical modeling surface in computer aided geometric design. A rational ruled surface may have different representations with respective advantages and disadvantages. In this paper, the authors revisit the representations of ruled surfaces including the parametric form, algebraic form, homogenous form and Pl ...
Chun-Ming Yuan +2 more
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Cissoid constructions of augmented rational ruled surfaces [PDF]
Computer Aided Geometric Design, 2018 J.R. Sendra is member of the Research Group ASYNACS (Ref.CT-CE2019/683)
J Rafael Sendra +2 more
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Reconstruction of rational ruled surfaces from their silhouettes [PDF]
Journal of Symbolic Computation, 2021 17 ...
Matteo Gallet +2 more
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Contour curves and isophotes on rational ruled surfaces [PDF]
Computer Aided Geometric Design, 2018 The ruled surfaces, i.e., surfaces generated by one parametric set of lines, are widely used in the~field of applied geometry. An~isophote on a surface is a curve consisting of surface points whose normals form a constant angle with some fixed vector. Choosing an angle equal to $π/2$ we obtain a special instance of a~isophote -- the so called contour ...
Jan Vrsek
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The Cohomological Genus and Symplectic Genus for 4-Manifolds of Rational or Ruled Types
Mathematics, 2021 An important problem in low dimensional topology is to understand the properties of embedded or immersed surfaces in 4-dimensional manifolds. In this article, we estimate the lower genus bound of closed, connected, smoothly embedded, oriented surfaces in
Bo Dai, Chung-I Ho
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Characterization of rational ruled surfaces [PDF]
Journal of Symbolic Computation, 2014 The ruled surface is a typical modeling surface in computer aided geometric design. It is usually given in the standard parametric form. However, it can also be in the forms than the standard one. For these forms, it is necessary to determine and find the standard form.
Li-Yong Shen, Sonia Pérez-Díaz
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Affine equivalences, isometries and symmetries of ruled rational surfaces [PDF]
Journal of Computational and Applied Mathematics, 2020 A method is presented for computing all the affine equivalences between two rational ruled surfaces defined by rational parametrizations that works directly in parametric rational form, i.e. without computing or making use of the implicit equation of the surface.
Juan Gerardo Alcázar
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Covering rational ruled surfaces [PDF]
Mathematics of Computation, 2017 We present an algorithm that covers any given rational ruled surface with two rational parametrizations. In addition, we present an algorithm that transforms any rational surface parametrization into a new rational surface parametrization without affine base points and such that the degree of the corresponding maps is preserved.
Sendra Pons, Juan Rafael +2 more
openaire +5 more sources
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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Developable Ruled Surfaces Generated by the Curvature Axis of a Curve
Axioms, 2023 Ruled surfaces play an important role in various types of design, architecture, manufacturing, art, and sculpture. They can be created in a variety of ways, which is a topic that has been the subject of a lot of discussion in mathematics and engineering ...
Ferhat Taş, Rushan Ziatdinov
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