Journalartikel

Jahr der Veröffentlichung: 2003

Seiten: 113-133

Zeitschrift: Foundations of Computational Mathematics

Bandnummer: 3

Heftnummer: 2

ISSN: 1615-3375

DOI Link: https://doi.org/10.1007/s10208-002-0054-x

Verlag: Springer

Abstract: 
In this paper. we design differentiable, two-dimensional, piecewise polynomial cubic prewavelets of particularly small compact support. They are given in closed form, and provide stable, orthogonal decompositions of L-2(R-2). In particular. the splines we use in our prewavelet constructions give rise to stable bases of spline spaces that contain all cubic polynomials, whereas the more familiar box spline constructions cannot reproduce all cubic polynomials. unless resorting to a box spline of higher polynomial degree.

Harvard-Zitierstil: Buhmann, M., Davydov, O. and Goodman, T. (2003) Cubic spline prewavelets on the four-directional mesh, Foundations of Computational Mathematics, 3(2), pp. 113-133. https://doi.org/10.1007/s10208-002-0054-x

APA-Zitierstil: Buhmann, M., Davydov, O., & Goodman, T. (2003). Cubic spline prewavelets on the four-directional mesh. Foundations of Computational Mathematics. 3(2), 113-133. https://doi.org/10.1007/s10208-002-0054-x