Cardinal Interpolating Multiresolutions

✍ Scribed by R.M. Lewis

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 734 KB
• Volume: 76
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1006/jath.1994.1013

✦ Synopsis

The basic method of constructing wavelets is by means of a multiresolution approximation of (\mathbf{L}^{\mathbf{2}}(\mathbf{R})). In this paper we present a class of multiresolution approximations for which the associated scaling function has a simple cardinal interpolating property. We present the construction of such multiresolutions and discuss the symmetry, decay, and regularity properties of the associated scaling functions and wavelets. 1994 Academic Press, Inc.