Parametrization of perspective silhouettes on canal surfaces in Minkowski 3-space

Fatih Doğan, Yusuf Yayli

Abstract


A canal surface is the envelope of a moving sphere with varying radius, defined by the trajectory C(t) of its centers and a radius function r(t) and canal surface is parametrized through Frenet frame of the spine curve C(t). In this paper, we parametrize the perspective silhouette of a canal surface in Minkowski 3-space when the spine curve C(t) is a spacelike or timelike curve and then we detect all connected components of the silhouette.

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How to Cite this Article:

Fatih Doğan, Yusuf Yayli, Parametrization of perspective silhouettes on canal surfaces in Minkowski 3-space, Journal of Mathematical and Computational Science, Vol 2, No 2 (2012), 374-385

Copyright © 2012 Fatih Doğan, Yusuf Yayli. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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