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A subdivision scheme for surfaces of revolution
Computer Aided Geometric Design, 2001This paper describes a simple and efficient non-stationary subdivision scheme of order \(4.\) This curve scheme unifies known subdivision rules for cubic B-splines, splines-in-tension and a certain class of trigonometric splines capable of reproducing circles.
Géraldine Morin +2 more
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Ray Solutions on Surfaces of Revolution
Journal of Applied Mechanics, 1987Our concern is the development of techniques for the analysis of wave propagation and general transient response of thin shells to local loading. In general, ray methods are useful for such problems. In the present work, the ray solutions are obtained for a shell of revolution with high prestress, for which the bending stiffness of the shell wall can ...
Chien, L. S., Steele, C. R.
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Approximation of surfaces of revolution by developable surfaces
Computer-Aided Design, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Symmetry for Willmore Surfaces of Revolution
The Journal of Geometric Analysis, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eichmann, Sascha, Koeller, Amos
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2015
A surface of revolution is generated by rotation of a plane curve z = f(x) about an axis Oz called the axis of the surface of revolution. The resulting surface therefore always has azimuthal symmetry.
S. N. Krivoshapko, V. N. Ivanov
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A surface of revolution is generated by rotation of a plane curve z = f(x) about an axis Oz called the axis of the surface of revolution. The resulting surface therefore always has azimuthal symmetry.
S. N. Krivoshapko, V. N. Ivanov
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The rigidity of ?corrugated? surfaces of revolution
Mathematical Notes of the Academy of Sciences of the USSR, 1973The rigidity is proven of certain surfaces of revolution with infinite alternation of portions of positive and negative curvature.
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Eigenfunctions and Eigenvalues on Surfaces of Revolution
Results in Mathematics, 1990Let M be a surface of revolution; M is topologically a sphere or torus. The rotation group O(2) acts on M by isometries and also on the eigenspaces E(\(\lambda)\) for the Laplacian D. Each irreducible representation of dimension 2 is characterized by a winding number \(k\in {\mathbb{N}}\).
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SYMPLECTIC LOOK AT SURFACES OF REVOLUTION
2003Given a surface of revolution in 3-space, there exist isothermal \(S^1\)-equivariant coordinates \((t,\theta)\) such that the metric is \(e^{\psi(t)}(dt^2+d\theta^2)\). Replacing \(t\) by the moment map \(\tau:=\int e^{\psi(t)}\,dt\) we get action angle coordinates \((\tau,\theta)\), and a function \(\phi(\tau)=e^{\psi(t)}\) called the momentum profile,
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Computing planar sections of surfaces of revolution with revolute quadric decomposition
Proceedings Shape Modeling Applications, 2004., 2004Computing the planar sections of objects is a fundamental operation in solid modeling. Subdivision method is commonly used for solving such intersection problems. In this paper, a revolute quadric decomposition is proposed for surfaces of revolution, which are subdivided into a set of coaxial revolute quadrics along the generatrix.
Jinyuan Jia 0002 +3 more
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Willmore Surfaces of Revolution
2010This last chapter serves to give a first existence result for a priori bounded classical solutions of the Dirichlet problem forWillmore surfaces and thereby to outline possible directions of further research. In order to see which kind of phenomena and results concerning compact embedded solutions in R3 of boundary value problems for the corresponding ...
Filippo Gazzola +2 more
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