We express the generalized Cauchy-Stieltjes transforms of some particular Beta distributions depending on a positive parameter λ as λ-powered Cauchy-Stieltjes transforms of some probability measures. The Cauchy-Stieltjes transforms of the latter measures are shown to be the geometric mean of the Cauchy-Stieltjes transform of the Wigner law together with another one. Moreover, they are absolutel...

The design and implementation of reversible wavelet/subband transforms and their application to reversible embedded image compression are studied. Reversible embedded image coding provides a natural way for building uniied lossy/lossless image compression systems, and reversible transforms are a key component in such systems. A lifting-based method is examined as a means for constructing revers...

The design and implementation of reversible wavelet/subband transforms and their application to reversible embedded image compression are studied. Reversible embedded image coding provides a natural way for building uni ed lossy/lossless image compression systems, and reversible transforms are a key component in such systems. A lifting-based method is examined as a means for constructing revers...

Various military systems require image and signal processing, often in noisy or bandwidth-limited situations. In this research, we employ genetic algorithms (GAs) to evolve forward and inverse transforms that reduce quantization error in reconstructed signals and images. The resulting transforms produce higher quality images than current waveletbased transforms at a given compression ratio and ...

We present in this paper new multiscale transforms on the sphere, namely the isotropic undecimated wavelet transform, the pyramidal wavelet transform, the ridgelet transform and the curvelet transform. All of these transforms can be inverted i.e. we can exactly reconstruct the original data from its coefficients in either representation. Several applications are described. We show how these tra...

A class of parametric transforms that are based on unified representation of transform matrices in the form of sparse matrix products is described. Different families of transforms are defined within the introduced class. All transforms of one family can be computed with fast algorithms similar in structure to each other. In particular, the family of Haar-like transforms consists of discrete or...