Sie können Bookmarks mittels Listen verwalten, loggen Sie sich dafür bitte in Ihr SLUB Benutzerkonto ein.
Medientyp:
E-Artikel
Titel:
Algorithm 999 : Computation of Multi-Degree B-Splines
:
Computation of Multi-Degree B-Splines
Beteiligte:
Speleers, Hendrik
Erschienen:
Association for Computing Machinery (ACM), 2019
Erschienen in:
ACM Transactions on Mathematical Software, 45 (2019) 4, Seite 1-15
Sprache:
Englisch
DOI:
10.1145/3321514
ISSN:
0098-3500;
1557-7295
Entstehung:
Anmerkungen:
Beschreibung:
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.