Details
| Original language | English |
|---|---|
| Pages (from-to) | 249-267 |
| Number of pages | 19 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 159 |
| Issue number | 2 |
| Publication status | Published - 15 Oct 2003 |
Abstract
Certain spaces of generalized splines are considered which are constructed by pasting together smoothly linear combinations of local ECT-systems. For them a basis of splines having minimal compact supports is constructed. These functions that are called B-splines are obtained by solving certain interpolation problems. They can be normalized either to form a partition of unity or to have integral over the real line equal to one each.
Keywords
- B-splines, ECT-systems, Generalized splines, Interpolation
ASJC Scopus subject areas
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Journal of Computational and Applied Mathematics, Vol. 159, No. 2, 15.10.2003, p. 249-267.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Construction of B-splines for generalized spline spaces generated from local ECT-systems
AU - Buchwald, B.
AU - Mühlbach, G.
PY - 2003/10/15
Y1 - 2003/10/15
N2 - Certain spaces of generalized splines are considered which are constructed by pasting together smoothly linear combinations of local ECT-systems. For them a basis of splines having minimal compact supports is constructed. These functions that are called B-splines are obtained by solving certain interpolation problems. They can be normalized either to form a partition of unity or to have integral over the real line equal to one each.
AB - Certain spaces of generalized splines are considered which are constructed by pasting together smoothly linear combinations of local ECT-systems. For them a basis of splines having minimal compact supports is constructed. These functions that are called B-splines are obtained by solving certain interpolation problems. They can be normalized either to form a partition of unity or to have integral over the real line equal to one each.
KW - B-splines
KW - ECT-systems
KW - Generalized splines
KW - Interpolation
UR - http://www.scopus.com/inward/record.url?scp=0141527543&partnerID=8YFLogxK
U2 - 10.1016/S0377-0427(03)00533-8
DO - 10.1016/S0377-0427(03)00533-8
M3 - Article
AN - SCOPUS:0141527543
VL - 159
SP - 249
EP - 267
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
IS - 2
ER -