A geometric characterization of Powell-Sabin triangulations allowing the construction of C2 quartic splines. (15th October 2021)

• Record Type: Journal Article
• Authors: Barrera, D.; Eddargani, S.; Ibáñez, M.J.; Lamnii, A.
• Is Part Of: Computers & mathematics with applications. Volume 100(2021)
• Page Start: 30
• Page End: 40
• Publication Date: 2021-10-15
• Subjects: Powell-Sabin triangulation -- Quartic splines -- Bernstein basis -- Blending functions; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2021.08.028
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: 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.