The implicit equation of a canal surface

A canal surface is an envelope of a one parameter family of spheres. In this paper we present an efficient algorithm for computing the implicit equation of a canal surface generated by a rational family of spheres. By using Laguerre and Lie geometries, we relate the equation of the canal surface to the equation of a dual variety of a certain curve in 5-dimensional projective space. We define the

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: Marc Dohm, Severinas Zube
• Keywords: Canal Surface, CORR 2008, Dual Variety, Education, Implicit Equation