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Conchoid surfaces of rational ruled surfaces [PDF]
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Juana Sendra Pons
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A Survey of the Representations of Rational Ruled Surfaces
Agencia Estatal de ...
Li-Yong Shen +2 more
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Reconstruction of rational ruled surfaces from their silhouettes [PDF]
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Niels Lubbes +2 more
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Characterization of rational ruled surfaces
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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Cissoid constructions of augmented rational ruled surfaces [PDF]
J.R. Sendra is member of the Research Group ASYNACS (Ref.CT-CE2019/683)
Martin Peternell +2 more
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Contour curves and isophotes on rational ruled surfaces [PDF]
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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Affine equivalences, isometries and symmetries of ruled rational surfaces [PDF]
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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On a Certain Class of Rational Ruled Surfaces [PDF]
Arnold Emch
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The Cohomological Genus and Symplectic Genus for 4-Manifolds of Rational or Ruled Types
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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Developable Ruled Surfaces Generated by the Curvature Axis of a Curve
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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