Higher-degree super-smooth C 1 splines over a Powell–Sabin refined triangulation
Year: 2025
Type: article
Abstract: The paper provides a generalization of ▫$C^1$▫ quadratic splines over a Powell-Sabin refined triangulation to ▫$C^1$▫ splines of any degree greater than two. The splines are constructed by imposing maximal super-smoothness at Powell-Sabin triangle split points and reproduce polynomials to the highest possible degree. The spline spaces are characterized by functionals that induce a B-spline representation over a triangulation, i.e., a representation of splines in terms of locally supported nonnegative basis functions that form a partition of unity. This makes the considered splines readily applicable in computer aided geometric design, function approximation problems, and finite element methods for solving partial differential equations.
Author: Jan Grošelj
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,170
OpenAlex ID: W7108317300