A 3D Reconstruction Algorithm of a Surface of Revolution from Its Projection.

Autor: Klyachin, V. A., Grigorieva, E. G.
Zdroj: Journal of Applied & Industrial Mathematics; Jan2020, Vol. 14 Issue 1, p85-91, 7p
Abstrakt: Under consideration is the problem of reconstruction of a surface of revolution from the boundary curves of its projection. Two approaches to this problem are suggested. The first approach reduces the problem to a system of functional-differential equations. We describe in detail how to obtain this system. The second approach bases on geometrical considerations and uses a piecewiseconic approximation of the desired surface. The second method rests on the auxiliary statement on the 3D reconstruction of a straight circular cone. We give a formula for calculating the base radius of the cone. In the general case, the surface of revolution is approximated by the surface of rotation of some polygonal curve. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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