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.