Compactly supported, piecewise affine scaling functions on triangulations

Authors
Donovan, GC Geronimo, JS Hardin, DP
Citation
Gc. Donovan et al., Compactly supported, piecewise affine scaling functions on triangulations, CONSTR APPR, 16(2), 2000, pp. 201-219
Citations number
14
Categorie Soggetti
Mathematics
Journal title
CONSTRUCTIVE APPROXIMATION
ISSN journal
01764276 → ACNP
Volume
16
Issue
2
Year of publication
2000
Pages
201 - 219
Database
ISI
SICI code
0176-4276(2000)16:2<201:CSPASF>2.0.ZU;2-F
Abstract
The methods of using intertwining MRAs to find orthogonal scaling functions have previously been applied to one-dimensional MRAs and are here extended to two-dimensional bases. Two examples are constructed. from MRAs consisti ng of continuous, compactly supported, piecewise affine functions of two va riables. The resulting scaling functions can be conveniently restricted to compact domains.