Detecting when an implicit equation or a rational parametrization defines a conical or cylindrical surface, or a surface of revolution
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/27210DOI: 10.1109/TVCG.2016.2625786
ISSN: 1077-2626
Fecha de publicación
2016-11-07Patrocinadores
Ministerio de Economía y Competitividad
Cita bibliográfica
IEEE Transactions on Visualization and Computer Graphics, 2016, p. 1-11
Palabras clave
Equations of a surface
Conical surface
Surface of revolution
Shape recognition
Cylindrical surface
Proyectos
info:eu-repo/grantAgreement/MINECO//MTM2014-54141-P/ES/CONSTRUCCIONES ALGEBRO-GEOMETRICAS: FUNDAMENTOS, ALGORITMOS Y APLICACIONES/
Tipo de documento
info:eu-repo/semantics/article
Versión
info:eu-repo/semantics/acceptedVersion
Versión del editor
http://dx.doi.org/10.1109/TVCG.2016.2625786Derechos
Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
Given an implicit polynomial equation or a rational parametrization, we develop algorithms to determine whether the set of real and complex points defined by the equation, i.e. the surface defined by the equation, in the sense of Algebraic Geometry, is a cylindrical surface, a conical surface, or a surface of revolution. The algorithms are directly applicable to, and formulated in terms of, the
implicit equation or the rational parametrization. When the surface is cylindrical, we show how to compute the direction of its rulings;
when the surface is conical, we show how to compute its vertex; and when the surface is a surface of revolution, we show how to
compute its axis of rotation directly from the defining equations
Ficheros en el ítem
Ficheros | Tamaño | Formato |
|
---|---|---|---|
Detecting_Implicit_IEEETVCG_20 ... | 864.8Kb |
|
Ficheros | Tamaño | Formato |
|
---|---|---|---|
Detecting_Implicit_IEEETVCG_20 ... | 864.8Kb |
|
Colecciones
- MATEMATIC - Artículos [172]
Items relacionados
Mostrando ítems relacionados por título, autor, creador y materia.
-
Cissoid constructions of augmented rational ruled surfaces
Sendra Pons, Juan Rafael; Sendra Pons, Juana; Peternell, Martin (2018-02) -
Covering rational surfaces with rational parametrization images
Caravantes Tortajada, Jorge; Sendra Pons, Juan Rafael; Sevilla, David; Villarino Cabellos, Carlos (2021-02-08) -
On the base point locus of surface parametrizations: formulas and consequences
Cox, David A.; Pérez Díaz, Sonia; Sendra Pons, Juan Rafael (2022-05-10)