Surface of revolution - Open Access .click

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 G Alcazar
exaly +4 more sources

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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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
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surfaces in euclidean and related spaces
gaussian curvature
fos: mathematics

mathematics - differential geometry
surfaces of revolution
fos: physical sciences

differential geometry math.dg
development of the surface
projections