A geometric characterization of Powell-Sabin triangulations allowing the construction of C-2 quartic splines

Barrera Rosillo, Domingo; Eddargani, Salah; Ibáñez Pérez, María José; Lamnii, Abdellah

doi:10.1016/j.camwa.2021.08.028

1-s2.0-S0898122121003205-main.pdf (910.8Kb)

Identificadores

URI: http://hdl.handle.net/10481/71243

DOI: 10.1016/j.camwa.2021.08.028

Exportar

Editorial

Pergamon- Elsevier Science

Materia

Powell-Sabin triangulation

Quartic splines

Bernstein basis

Blending functions

Fecha

2021-10-15

Referencia bibliográfica

D. Barrera, S. Eddargani, M.J. Ibáñez et al. A geometric characterization of Powell-Sabin triangulations allowing the construction of C-2 quartic splines. Computers and Mathematics with Applications 100 (2021) 30–40. [https://doi.org/10.1016/j.camwa.2021.08.028]

Patrocinador

Junta de Andalucia; University of Granada

Resumen

The paper deals with the characterization of Powell-Sabin triangulations allowing the construction of bivariate quartic splines of class C-2. The result is established by relating the triangle and edge split points provided by the refinement of each triangle. For a triangulation fulfilling the characterization obtained, a normalized representation of the splines in the C-2 space is given.

Colecciones

DMA - Artículos

Excepto si se señala otra cosa, la licencia del ítem se describe como Atribución-NoComercial-SinDerivadas 3.0 España