Optimizing threshold value of wavelet coefficient is an important task in speckle noise reduction in the wavelet domain. Without proper selection of threshold value image information may be lost, which is unwanted. In this paper we proposed optimum threshold parameter using Fisher Discriminant Analysis (FDA) for determining the optimum threshold value of wavelet coefficient for the best speckle...

SUMMARY Wavelet estimation plays an important role in many seismic processes like impedance inversion, amplitude versus offset (AVO) and full waveform inversion (FWI). Statistical methods of wavelet estimation away from well control are a desirable tool to support seismic signal processing. One of these methods based on Homomorphic analysis has long intrigued as a potentially elegant solution t...

SAR image compression is very important in reducing the costs of data storage and transmission in relatively slow channels. In this paper, we propose a compression scheme driven by texture analysis, homogeneity mapping and speckle noise reduction within the wavelet framework. The image compressibility and interpretability are improved by incorporating speckle reduction into the compression sche...

This paper introduces Group Testing for Wavelet Packets (GTWP), a novel embedded image compression algorithm based on wavelet packets and group testing. This algorithm extends the Group Testing for Wavelets (GTW) algorithm [7] to handle wavelet packets. Like its predecessor, GTWP obtains good compression performance without the use of arithmetic coding. It also shows that the group testing meth...

The wavelet group and representation associated with shifts coming from a two dimensional crystal symmetry $$\Gamma $$ dilations by powers of 3, are defined studied. main result is an explicit decomposition this $$3\Gamma -wavelet into irreducible representations the group. Because we prove that multiplicity free, direct integral essentially unique.

Overlapped block-matching motion compensation (OBM) enhances the prediction results of classical non-overlapped block-matching in the context of video compression significantly and is especially well suited for wavelet-based video coding. However, this is achieved at a high additional computational cost. We investigate possibilities for parallelization of two classical OBM algorithms and invest...

The notion of a weak multiresolution analysis is defined over an arbitrary field in terms of cyclic modules for a certain affine group ring. In this setting the basic properties of weak multiresolution analyses are established, including characterizations of their submodules and quotient modules, the existence and uniqueness of reduced scaling equations, and the existence of wavelet bases. Thes...