Accession Number:

ADA247105

Title:

On the Construction of Multivariate (pre) Wavelets

Descriptive Note:

Technical summary rept

Corporate Author:

WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES

Personal Author(s):

• DE Boor, Carl
• DeVore, Ronald A.
• Ron, Amos

Report Date:

1992-02-01

Pagination or Media Count:

43.0

Abstract:

A new approach for the construction of wavelets and prewavelets on IR d from multiresolution is presented. The method uses only properties of shift- invariant spaces and orthogonal projectors from L2IRd 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. wavelets, multiresolution, shift-invariant spaces, box splines.

Descriptors:

• *MULTIVARIATE ANALYSIS
• *ORTHOGONALITY
• FUNCTIONS
• RESOLUTION
• CONSTRUCTION
• APPROACH
• SPLINES
• DECAY
• SCALE
• BOXES
• STABILITY

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE