RT info:eu-repo/semantics/article
T1 On tubular vs. swung surfaces
A1 Recio, Tomás
A1 Tabera, Luis Felipe
A1 Villarino Cabellos, Carlos
A1 Sendra Pons, Juan Rafael
K1 Swung surface
K1 Tubular surface
K1 Ciencia
K1 Matemáticas
K1 Science
K1 Mathematics
AB 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.
PB Elsevier
SN 0707-7171
YR 2014
FD 2014
LK http://hdl.handle.net/10017/23478
UL http://hdl.handle.net/10017/23478
LA eng
NO Second and fourth authors are members of the research group ASYNACS (Ref. CCEE2011/R34)
NO Ministerio de Ciencia e Innovación
DS MINDS@UW
RD 25-abr-2024