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Modeling identities among the first-sedentary communities: Emergence of clay personal ornaments in Epipaleolithic Southwest Asia. [PDF]

Sci Adv
Davin L, Sindel M, Yeshurun R, Weinstein-Evron M, Kaufman D, Shklyar B, Grosman L, Belfer-Cohen A, Khalaily H, Valla FR.   +9 more
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Finding the Axis of Revolution of an Algebraic Surface of Revolution

IEEE Transactions on Visualization and Computer Graphics, 2016
We present an algorithm for extracting the axis of revolution from the implicit equation of an algebraic surface of revolution based on three distinct computational methods: factoring the highest order form into quadrics, contracting the tensor of the highest order form, and using univariate resultants and gcds.
Ron Goldman, Juan Gerardo Alcázar
exaly   +3 more sources

Computing isophotos of surface of revolution and canal surface

CAD 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
In-Kwon Lee
exaly   +2 more sources

Reconstruction of Surfaces of Revolution

First International Multi-Symposiums on Computer and Computational Sciences (IMSCCS'06), 2006
In the process of reconstruction of 3D textured models of revolution from images, the precise 3D shape of the revolution must be obtained in advance. This paper addresses the problem of recovering the 3D shape of revolution by symmetry property of revolution.
Shunyi Zheng, Ling Yang
openaire   +1 more source

Determine When a Parametric Surface is a Surface of Revolution

International Electronic Journal of Geometry, 2022
A surface of revolution is a surface that can be generated by rotating a planar curve (the directrix) around a straight line (the axis) in the same plane. Using the mathematics of quaternions, we provide a parametric equation of a surface of revolution generated by rotating a directrix about an axis by quaternion multiplication of the parametric ...
Haohao Wang, Jerzy Wojdylo
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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
openaire   +1 more source