Journal article
Authors list: Buhmann, MD; Davydov, O; Goodman, TNT
Publication year: 2003
Pages: 113-133
Journal: Foundations of Computational Mathematics
Volume number: 3
Issue number: 2
ISSN: 1615-3375
DOI Link: https://doi.org/10.1007/s10208-002-0054-x
Publisher: 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.
Citation Styles
Harvard Citation style: 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 Citation style: 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
Keywords
4-DIRECTIONAL MESH; BASES
