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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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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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Revisiting the μ-basis of a rational ruled surface
Journal of Symbolic Computation, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Falai Chen, Wenping Wang
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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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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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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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Reconstruction of rational ruled surfaces from their silhouettes [PDF]
Journal of Symbolic Computation, 2021 17 ...
Matteo Gallet +3 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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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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