The DDHFm package is designed to perform data-driven Haar-Fisz (DDHF) variance stabilization. The basic DDHF method itself is described in [4, 5]. The modifications to DDHF to make it work successfully for microarray (or indeed similar kinds of replicate data) are described in [10]. The basic idea of the Haar-Fisz transform is very simple. First, a Haar wavelet transform is applied to the data....

Due to the difficulty for constructing two-dimensional wavelet filters, the commonly used wavelet filters are tensor-product of one-dimensional wavelet filters. In some applications, more perfect reconstruction filters should be provided. In this paper, we introduce a transformation which is referred to as Shift Unitary Transform SUT of Conjugate Quadrature Filter CQF . In terms of this transfo...

Statistical signal modeling using hidden Markov model is one of the techniques used for image compression. Wavelet based statistical signal models are impractical for most of the real time processing because they usually represent the wavelet coefficients as jointly Gaussian or independent to each other. In this paper, we build up an algorithm that succinctly characterizes the interdependencies...

On the basis that the PCA transformation and additive wavelet transformation have their own advantages and disadvantages ——higher spatial resolution can be acquired from the PCA transformation; however, more serious distortion of spectral characteristics can happen as well. While, the àtrous wavelet transformation is able to preserve spatial information; however, the result is lack of high spat...

With the development of remote sensing technology, fusion of remotely sensed images, such as SPOT panchromatic (SPOT P) with SPOT multispectral images (SPOT XS) or Landsat Thematic Mapper (TM), has become more important in order to obtain richer information in the spatial and spectral domains simultaneously. Many fusion methods have been developed based on the two-band wavelet transformation. H...

Image fusion is a technique of obtaining high spatial resolution multispectral images from low spatial resolution multispectral and high spatial resolution panchromatic images. Various techniques exist to perform such fusion. These techniques, however, do not seem to preserve the spectral information content of original multispectral image in the fused image. Hence, in this study a recent and e...

This paper proposes a modified simple but efficient calculation schema for 2D-Haar wavelet transformation in image compression. The proposed work is aimed at developing computationally efficient and effective algorithms for lossy image compression using wavelet techniques. The work is particularly targeted towards wavelet image compression using Haar Transformation with an idea to minimize the ...

In the problem of designated a well-defined wavelet describing the closed curve, it is critical that we define a unique starting point for the wavelet representatives of closed curve. In this paper, we design a one-dimensional periodized wavelet transformation for closed curves detection in complex background. The uniqueness property facilitates the quantitative analysis of the unique propertie...

The event-by-event analysis of multiparticle production in high energy hadron and nuclei collisions can be performed using the discrete wavelet transformation. The ring-like and jet-like structures in two-dimensional angular histograms are well extracted by wavelet analysis. For the first time the method is applied to the jet-like events with background simulated by event generators, which are ...