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A Generalization of Algebraic Surface Drawing [PDF]
TOGS, 1982 The mathematical description of three dimensional surfaces usually falls in one of two classifications: parametric and algebraic. The form is defined as all points which satisfy some equation: F(x,y,z)=0.
J. Blinn
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Stable vector bundles on an algebraic surface [PDF]
Nagoya mathematical journal, 1975 Let X be a non-singular projective algebraic curve over an algebraically closed field k. D. Mumford introduced the notion of stable vector bundles on X as follows; DEFINITION ([7]).
M. Maruyama
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On Castelnuovo's criterion of rationality $p_{a} =P_{2} =0$ of an algebraic surface [PDF]
, 1958 O. Zariski
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Generating hydrodynamic surfaces by families of Lame curves for modelling submarine hulls
RUDN Journal of Engineering Research, 2022 This paper investigates the construction of hydrodynamic surfaces, which are defined by algebraic equations and describe the theoretical hull of a vessel. A technique for automation of generating hydrodynamic surfaces is proposed.
Valery V. Karnevich
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Algebraic ship hull surfaces with a main frame from three plane curves in coordinate planes
RUDN Journal of Engineering Research, 2022 One of the important problems of naval architects and designers is a choice of rational ship hull shape. A choice of ship hull form is based often on empirical formulae or on designers’ intuition.
Sergey N. Krivoshapko
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Axioms, 2021 We consider the Enneper family of real maximal surfaces via Weierstrass data (1,ζm) for ζ∈C, m∈Z≥1. We obtain the irreducible surfaces of the family in the three dimensional Minkowski space E2,1.
Erhan Güler
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Ruled algebraic surfaces with a main frame from three superellipses
Structural Mechanics of Engineering Constructions and Buildings, 2022 An opportunity of conversion of algebraic surfaces with a main frame from three superellipses of general type into ruled surfaces of several views is shown. It is necessary to take one, two, or all of three superellipses in the form of a rhombus, i.e. it
Iraida A. Mamieva
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Hydrodynamic surfaces with midsection in the form of Lame curve
RUDN Journal of Engineering Research, 2021 General representation of ship geometry is given by the method of slicing the ship hull by three mutually perpendicular planes: vertical symmetry plane which runs along the middle of hull width, horizontal plane which divides the hull into underwater and
Valery V. Karnevich
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Structural Mechanics of Engineering Constructions and Buildings, 2023 The author presents the results of a study of the geometry and stress-strain state of a surface with a frame of three flat curves in coordinate planes, which have found application today mainly in the shipbuilding industry.
Olga O. Aleshina
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Application of Orthogonal Polynomial in Orthogonal Projection of Algebraic Surface
Axioms, 2022 Point orthogonal projection onto an algebraic surface is a very important topic in computer-aided geometric design and other fields. However, implementing this method is currently extremely challenging and difficult because it is difficult to achieve to ...
Xudong Wang, Xiaowu Li, Yuxia Lyu
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