On tubular vs. swung surfaces

We determine necessary and sufficient conditions for a tubular surface to be swung, and viceversa. From these characterizations, we derive two symbolic algorithms. The first one decides whether a given implicit equation, of a tubular surface, admits a swung parametrization and, in the affirmative case, it outputs such a parametrization. The second one decides whether a given swung surface parametrization is a tubular surface and, in the affirmative case, it outputs the implicit equation.

• Type: Journal
• Year: 2016
• Where: JSC
• Authors: Tomás Recio, J. Rafael Sendra, Luis Felipe Tabera, Carlos Villarino
• Keywords: JSC 2016