Since the publication, less than ten years ago, of Mallat's paper on Mul-tiresoltion Analysis Ma], and Daubechies' paper on the construction of smooth compactly supported wavelets D], wavelets had gained enormous popularity in mathematics and in the application domains. It is suucient to note that there are currently more than 10,000 subscribers to the monthly Wavelet Digest. At the same time, ...

This paper proposes a robust watermarking technique using wavelets of well-known transforms DCT, Walsh and Haar. HL and LH bands are separately selected for watermark insertion. While inserting watermark, its energy is varied with 40% margin to original energy of region of host selected for insertion of watermark to study effect on robustness. Performance of proposed technique is evaluated agai...

New continuous wavelets of compact support are introduced, which are related to the beta distribution. They can be built from probability distributions using ”blur”derivatives. These new wavelets have just one cycle, so they are termed unicycle wavelets. They can be viewed as a soft variety of Haar wavelets whose shape is fine-tuned by two parameters a and b. Close expressions for beta wavelets...

in this work, we present a computational method for solving second kindnonlinear fredholm volterra integral equations which is based on the use ofhaar wavelets. these functions together with the collocation method are thenutilized to reduce the fredholm volterra integral equations to the solution ofalgebraic equations. finally, we also give some numerical examples that showsvalidity and applica...

Previously, the use of non-separable wavelets in image processing has been hindered by the lack of a fast algorithm to perform a non-separable wavelet transform. We present two such algorithms in this paper. The rst algorithm implements a periodic wavelet transform for any valid wavelet lter sequence and dilation matrices satisfying a trace condition. We discuss some of the complicating issues ...

In this paper, we describe an algorithm for computing biorthogonal compactly supported dyadic wavelets related to the Walsh functions on the positive half-line R+. It is noted that a similar technique can be applied in very general situations, e.g., in the case of Cantor and Vilenkin groups. Using the feedback-based approach, some numerical experiments comparing orthogonal and biorthogonal dyad...

In this paper we systematically define Haar-like wavelets over a tetrahedrical grid which is generated b y a regular subdivision method. These wavelets form an inconditional basis for LJ'(T,C,p), 1 < p < 00 , being p the Lebesgue measure and C the U-algebra of all tetrahedra generated from a tetrahedron T by the chosen subdivision method.

in recent years, there has been greater attempt to find numerical solutions of differential equations using wavelet&apos;s methods. the following method is based on vector forms of haar-wavelet functions. in this paper, we will introduce one dimensional haar-wavelet functions and the haar-wavelet operational matrices of the fractional order integration. also the haar-wavelet operational matrice...

The coefficients of a wavelet–decomposition form into different levels according to the size of the described details. This can be utilized to crypt only a part of the given data while keeping the rest unchanged so that critical information is filtered out. I achieved this idea with Haar–wavelets for a special type of data and show in addition an a priori error estimation.