On the construction of multivariate (pre)wavelets Academic Article uri icon

abstract

  • A new approach for the construction of wavelets and prewavelets on Rd from multiresolution is presented. The method uses only properties of shift-invariant spaces and orthogonal projectors from L2(Rd) onto these spaces, and requires neither decay nor stability of the scaling function. Furthermore, this approach allows a simple derivation of previous, as well as new, constructions of wavelets, and leads to a complete resolution of questions concerning the nature of the intersection and the union of a scale of spaces to be used in a multiresolution. © 1993 Springer-Verlag.

author list (cited authors)

  • de Boor, C., DeVore, R. A., & Ron, A.

citation count

  • 154

publication date

  • June 1993