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.
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Romani L., Rossini M., Viscardi A. (2024) "A compact algebraic representation of cardinal GB-splines
" Dolomites Research Notes on Approximation, 17(1), 1-11. DOI: 10.14658/PUPJ-DRNA-2024-1-1
Year of Publication
2024
Journal
Dolomites Research Notes on Approximation
Volume
17
Issue Number
1
Start Page
1
Last Page
11
Date Published
02/2024
ISSN Number
2035-6803
Serial Article Number
1
DOI
10.14658/PUPJ-DRNA-2024-1-1
Issue
Section
Articles