Recently discrete wavelet transform and wavelet packet has emerged as popular techniques for image compression. The wavelet transform is one of the major processing components of image compression. The results of the compression change as per the basis and tap of the wavelet used. This paper compares compression performance of Daubechies, Biorthogonal, Coiflets and other wavelets along with res...

An adaptive watermarking algorithm is presented which exploits a biorthogonal wavelets-based human visual system (HVS) and a Fuzzy Inference System (FIS) to protect the copyright of images in learning object repositories. Specifically, the HVS relies on the linear-phase property of biorthogonal wavelet filters (symmetric wavelets) in order to efficiently extract the masking information, while t...

The proposed contribution describes a method for the detection and classification of harmonic transients, as they occur in electrical networks. The method uses, as bases, a special class of wavelet-packets, i. e. smooth biorthogonal sine and cosine-packets in order to find the best ’’Shannon-basis“. The algorithm is based on the minimization of Shannon‘s function for the decomposed wanted signa...

In this paper we use the lifting scheme to construct biorthogonal spline wavelet bases on regularly refined non-uniform grids. The wavelets have at least one vanishing moment and on each resolution level they form an L2 Riesz basis. Furthermore we are interested in determining the exact range of Sobolev exponents for which the complete multilevel system forms a Riesz basis. Hereto we need to ex...

For a given continuous compactly supported reenable function that is fundamental (that means, () =), this paper presents several methods to construct, directly from , compactly supported fundamental reenable functions with higher regularity. Asymptotic regularity analyses of the constructions are given. These constructions immediately provide multivariate interpolatory subdivision schemes that ...

In this paper we give a necessary and suucient condition for a pair of wavelet (R n), to arise from a pair of biorthogonal MRA's. The condition is given in terms of simple equations involving the functionsànd ~ `. To work in greater generality, we allow mul-tiresolution analyses of arbitrary multiplicity, based on lattice translations and matrix dilations. Our result extends the characterizatio...

In many applications it is desirable to study nonorthogonal wavelet transforms. A translation-invariant wavelet transform is a nonorthogonal variant of the classical wavelet transform which plays an important role in denoising algorithms. However, it has been observed in many experiments that the thresholding scheme for the orthogonal DWT should be slightly modiied for use in the translation-in...