You can manage bookmarks using lists, please log in to your user account for this.
Media type:
E-Article
Title:
Algorithm 999 : Computation of Multi-Degree B-Splines
:
Computation of Multi-Degree B-Splines
Contributor:
Speleers, Hendrik
Published:
Association for Computing Machinery (ACM), 2019
Published in:
ACM Transactions on Mathematical Software, 45 (2019) 4, Seite 1-15
Language:
English
DOI:
10.1145/3321514
ISSN:
0098-3500;
1557-7295
Origination:
Footnote:
Description:
Multi-degree splines are smooth piecewise-polynomial functions where the pieces can have different degrees. We describe a simple algorithmic construction of a set of basis functions for the space of multi-degree splines with similar properties to standard B-splines. These basis functions are called multi-degree B-splines (or MDB-splines ). The construction relies on an extraction operator that represents all MDB-splines as linear combinations of local B-splines of different degrees. This enables the use of existing efficient algorithms for B-spline evaluations and refinements in the context of multi-degree splines. A M ATLAB implementation is provided to illustrate the computation and use of MDB-splines.