Parametrization of perspective silhouettes on canal surfaces in Minkowski 3-space
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.
Copyright © 2012 Fatih DoÄŸan, 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.
Cite this article
F. DoÄŸan, Y. Yayli, Parametrization of perspective silhouettes on canal surfaces in Minkowski 3-space, J. Math. Comput. Sci. 2 (2012), 374–385.
BibTeX
@article{DoÄŸan2012,
author = {DoÄŸan, Fatih and Yayli, Yusuf},
title = {Parametrization of perspective silhouettes on canal surfaces in Minkowski 3-space},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {374--385},
doi = {}
}