This work introduces a compact algebraic representation of generalized B-spline basis functions built upon uniform knot partitions (also known as cardinal GB-splines), that stands out for its simplicity with respect to the well-known integral formulation. Moreover, this result clarifies the relationship between cardinal GB-splines and classical polynomial B-splines, as it isolates the polynomial component of a GB-spline from the non-polynomial contribution brought by the two non-monomial generators of the function space.
A compact algebraic representation of cardinal GB-splines / Romani L.; Rossini M.; Viscardi A.. - In: DOLOMITES RESEARCH NOTES ON APPROXIMATION. - ISSN 2035-6803. - STAMPA. - 17:1(2024), pp. 1.1-1.11. [10.14658/PUPJ-DRNA-2024-1-1]
A compact algebraic representation of cardinal GB-splines
Romani L.;
2024
Abstract
This work introduces a compact algebraic representation of generalized B-spline basis functions built upon uniform knot partitions (also known as cardinal GB-splines), that stands out for its simplicity with respect to the well-known integral formulation. Moreover, this result clarifies the relationship between cardinal GB-splines and classical polynomial B-splines, as it isolates the polynomial component of a GB-spline from the non-polynomial contribution brought by the two non-monomial generators of the function space.File | Dimensione | Formato | |
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