This paper presents an improved adaptive algorithm for enhanced data hiding under HH-subband Haar Wavelet coefficients of a gray scale host image. The algorithm uses an optimal set of the Wavelet coefficients selected through frequency distribution analysis of the host image to determine the lower and upper bounds of the Haar wavelet coefficients for achieving higher data hiding capacity. Simul...

Advanced Image Compression: Haar Wavelet Compression is useful because it helps reduce the consumption of expensive resources, such as hard disk space or transmission bandwidth. On the downside, compressed data must be decompressed to be used, and this extra processing may be detrimental to some applications. The design of data compression schemes therefore involves trade-offs among various fac...

We compute the Riemannian volume of the moduli space of flat connections on a nonorientable 2-manifold, for a natural class of metrics. We also show that Witten’s volume formula for these moduli spaces may be derived using Haar measure, and we give a new proof of Witten’s volume formula for the moduli space of flat connections on a Riemann surface using Haar measure. ———————–

The aim of this note is to determine certain closed subgroups of the absolute Galois group G(Q) of Q, in particular subgroups generated by involutions (=elements of order 2). Geyer [3,4.1] has shown, in a far more general set-up, that subgroups generated by finitely many involutions are almost always free profinite products of copies of Z/22. To be precise, fix an involution E E G(Q); for almos...

We give a simple proof of the A2 conjecture proved recently by T. Hytönen. Our proof avoids completely the notion of the Haar shift operator, and it is based only on the “local mean oscillation decomposition”. Also our proof yields a simple proof of the “two-weight conjecture” as well.

We derive a formula which expresses a second order cumulant whose entries are products as a sum of cumulants where the entries are single factors. This extends to the second order case the formula of Krawczyk and Speicher. We apply our result to the problem of calculating the second order cumulants of a semicircular and Haar unitary operator.

this study deals with the 3d recovering of magnetic susceptibility model by incorporating the sparsity-based constraints in the inversion algorithm. for this purpose, the area under prospect was divided into a large number of rectangular prisms in a mesh with unknown susceptibilities. tikhonov cost functions with two sparsity functions were used to recover the smooth parts as well as the sharp ...