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Inverse Relations for Blossoms and Parametrisations of Rational Curves and Surfaces
Cita
Fernández Jambrina, Leonardo 
ORCID: https://orcid.org/0000-0002-4872-6973
(2024).
Inverse Relations for Blossoms and Parametrisations of Rational Curves and Surfaces.
"Mathematics", v. 12
(n. 18);
p. 2841.
ISSN 2227-7390.
https://doi.org/10.3390/math12182841.
ORCID: https://orcid.org/0000-0002-4872-6973
(2024).
Inverse Relations for Blossoms and Parametrisations of Rational Curves and Surfaces.
"Mathematics", v. 12
(n. 18);
p. 2841.
ISSN 2227-7390.
https://doi.org/10.3390/math12182841.
Descripción
| Título: | Inverse Relations for Blossoms and Parametrisations of Rational Curves and Surfaces |
|---|---|
| Autor/es: |
|
| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | Mathematics |
| Fecha: | 12 Septiembre 2024 |
| ISSN: | 2227-7390 |
| Volumen: | 12 |
| Número: | 18 |
| Materias: | |
| ODS: | |
| Palabras Clave Informales: | B-splines; Bezier Curve; Blossom; degree elevation; degree reductio; degree reduction; MULTI-DEGREE REDUCTION; polarisation identities; degree elevation ; polarisation identities |
| Escuela: | E.T.S.I. Navales (UPM) |
| Departamento: | Matemática e Informática Aplicadas a la Ingenierías Civil y Naval |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada - No comercial |
Resumen
In this paper, we make use of an inverse formula that relates the blossom of a NURBS curve, surface or B & eacute;zier triangle with its parametrisation, with no explicit reference to the control points and weights of the parametrisation. We make use of this inverse formula to raise and lower the degree elevation and reduction.
Más información
| ID de Registro: | 89324 |
|---|---|
| Identificador DC: | https://oa.upm.es/89324/ |
| Identificador OAI: | oai:oa.upm.es:89324 |
| URL Portal Científico: | https://portalcientifico.upm.es/es/ipublic/item/10254899 |
| Identificador DOI: | 10.3390/math12182841 |
| URL Oficial: | https://www.mdpi.com/2227-7390/12/18/2841 |
| Depositado por: | iMarina Portal Científico |
| Depositado el: | 05 Jun 2025 07:01 |
| Ultima Modificación: | 05 Jun 2025 07:12 |
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