Results 241 to 250 of about 167,724,956 (286)

The Steiner Problem on Surfaces of Revolution

Graphs and Combinatorics, 2012
The Steiner problem consists on finding the shortest path network connecting a finite set of given points on a surface. It is well understood in the Euclidean plane and on surfaces of constant curvature. The aim of the paper is to develop an algorithm for the \(n\)-point Steiner problem on a surface of revolution with a non-decreasing generating ...
Elena A. Caffarelli, Denise M. Halverson, Ryan J. Jensen   +2 more
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Offsetting Revolution Surfaces

2011
In this paper, first, we provide a resultant-based implicitization method for revolution surfaces, generated by non necessarily rational curves. Secondly, we analyze the offsetting problem for revolution surfaces, proving that the offsetting and the revolution constructions are commutative.
Fernando San Segundo, J. Rafael Sendra
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A subdivision scheme for surfaces of revolution

Computer Aided Geometric Design, 2001
This 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, Joe D. Warren, Henrik Weimer   +2 more
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Ray Solutions on Surfaces of Revolution

Journal of Applied Mechanics, 1987
Our 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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Symmetry for Willmore Surfaces of Revolution

The Journal of Geometric Analysis, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eichmann, Sascha, Koeller, Amos
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Approximation of surfaces of revolution by developable surfaces

Computer-Aided Design, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Surfaces of Revolution

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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Computing isophotos of surface of revolution and canal surface

Computer-Aided Design, 2003
Isophote of a surface consists of a loci of surface points whose normal vectors form a constant angle with a given fixed vector. It also serves as a silhouette curve when the constant angle is given as π/2. We present efficient and robust algorithms to compute isophotes of a surface of revolution and a canal surface. For the two kinds of surfaces, each
Ku-Jin Kim, In-Kwon Lee
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Eigenfunctions and Eigenvalues on Surfaces of Revolution

Results in Mathematics, 1990
Let 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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The rigidity of ?corrugated? surfaces of revolution

Mathematical Notes of the Academy of Sciences of the USSR, 1973
The rigidity is proven of certain surfaces of revolution with infinite alternation of portions of positive and negative curvature.
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