Results 31 to 40 of about 34,040 (161)
Automating Crochet Patterns for Surfaces of Revolution
CoRR, 2023 A surface of revolution is created by taking a curve in the $xy$-plane and rotating it about some axis. We develop a program which automatically generates crochet patterns for surfaces by revolution when they are obtained by rotating about the $x$-axis.
Megan A. Martinez +1 more
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A generalization of Bertrand's theorem to surfaces of revolution [PDF]
Sbornik: Mathematics, 2012 The generalization of Bertrand's theorem to abstract surfaces of revolution without "equators" is proved. We prove a criterion for the existence on such a surface of exactly two central potentials (up to an additive and a multiplicative constants) all of whose bounded nonsingular orbits are closed and which admit a bounded nonsingular noncircular orbit.
Fedoseev, Denis A. +2 more
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Patterns on surfaces of revolution in a diffusion problem with variable diffusivity
Electronic Journal of Differential Equations, 2014 In this article we study the existence of non-constant stable stationary solutions to the the diffusion equation $u_t=\hbox{div}(a \nabla u)+f(u)$ on a surface of revolution whose border is supplied with zero Neumann boundary condition.
Arnaldo Simal do Nascimento +1 more
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On Covering of Cylindrical and Conical Surfaces with Equal Balls
Известия Иркутского государственного университета: Серия "Математика"The article concerns the problem of covering the lateral surface of a right circular cylinder or a cone with equal balls. The surface is required to belong to their union, and the balls’ radius is minimal. The centers of the balls must lie on the covered
A. L. Kazakov +2 more
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DEVELOPMENT OF SOME REVOLUTION SURFACES
Journal of Industrial Design and Engineering Graphics, 2015 The paper work proposes practical graphic methods provided by Descriptive Geometry to plot the development of two revolution surfaces: the revolution surface having an oval as median section and the revolution surface having an ordinary curve as median ...
Vanda Danaila, Alina Angelica Anghel
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Simplified selection of optimal shell of revolution
Structural Mechanics of Engineering Constructions and Buildings, 2019 Relevance. Architects and engineers, designing shells of revolution, use in their projects, as a rule, spherical shells, paraboloids, hyperboloids, and ellipsoids of revolution well proved themselves.
Sergey N. Krivoshapko +1 more
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Camera calibration from surfaces of revolution [PDF]
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2003 This paper addresses the problem of calibrating a pinhole camera from images of a surface of revolution. Camera calibration is the process of determining the intrinsic or internal parameters (i.e., aspect ratio, focal length, and principal point) of a camera, and it is important for both motion estimation and metric reconstruction of 3D models. In this
Kwan-Yee Kenneth Wong +2 more
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Examples of surfaces of constant mean curvature
Дифференциальная геометрия многообразий фигур, 2019 A surface in E3 is called parallel to the surface M if it consists of the ends of constant length segments, laid on the normals to the surfaces at points of this surface. The tangent planes at the corresponding points will be parallel.
M. A. Cheshkova
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Surfaces of Revolution in Terms of Solitons
Annals of Global Analysis and Geometry, 1997 The detailed analysis of the generalised Weierstrass representation of surfaces of revolution and their deformations induced by the modified Korteweg--de Vries (mKdV) equations is done. In particular, it is shown that these deformations preserve tori.
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Structural Mechanics of Engineering Constructions and Buildings, 2019 Aims of research. A surface of revolution is generated by rotation of a plane curve z = f(x) about an axis Oz called the axis of rotation. This paper provides information on hyperboloids of revolution surfaces and their classification.
Mathieu Giloulbé +2 more
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