Optimization of Parameterized Compactly Supported Orthogonal Wavelets for Data Compression

Construction of Compactly Supported Nonseparable Orthogonal Wavelets of L^2(R^n)

Compactly Supported (bi)orthogonal Wavelets Generated by Interpolatory Reenable Functions

This paper provides several constructions of compactly supported wavelets generated by interpolatory reenable functions. It was shown in D1] that there is no real compactly supported orthonormal symmetric dyadic reenable function, except the trivial case; and also shown in L] and GM] that there is no compactly supported interpolatory orthonormal dyadic reenable function. Hence, for the dyadic d...

Compactly supported (bi)orthogonal wavelets generated by interpolatory refinable functions

This paper provides several constructions of compactly supported wavelets generated by interpolatory reenable functions. It was shown in D1] that there is no real compactly supported orthonormal symmetric dyadic reenable function, except the trivial case; and also shown in L] and GM] that there is no compactly supported interpolatory orthonormal dyadic reenable function. Hence, for the dyadic d...

Orthogonal Wavelets on the Interval

In this paper we generalize the constructions 5], 8] and 21] of wavelets on the interval. These schemes give boundary modiications of compactly supported orthogonal wavelets 2 L 2 (R) with supp = ?N + 1; N], where N denotes the number of vanishing moments of. Our new scheme overcomes this restrictive condition. Furthermore, the constructions 5], 8], 21] involve Gram matrices for explicit orthog...

Compactly supported wavelets and representations of the Cuntz relations , II

We show that compactly supported wavelets in L (R) of scale N may be effectively parameterized with a finite set of spin vectors in C , and conversely that every set of spin vectors corresponds to a wavelet. The characterization is given in terms of irreducible representations of orthogonality relations defined from multiresolution wavelet filters.