an important aspect of microarray studies includes the prediction of patient survival based on their gene expression profile. to deal with the high dimensionality of this data, use of a dimension reduction procedure along with the survival prediction model is necessary. this study aimed to present a new method based on wavelet transform for survival relevant gene selection.the data included 204...

Wavelet transformation is one of the most practical mathematical transformations in the field of image processing, especially image and signal processing. Depending on the nature of the multiresolution analysis, Wavelet transformation become more accessible and powerful tools. In this paper, we refer to the mathematical foundations of this transformation.   Introduction: The...

this paper presents a new coding method for image compression based on jpeg2000 and contourlet transform. jpeg2000 standard is a common standard that uses discrete wavelet transform (dwt) in the compression process. the main problems of dwt are failure to detect curved edges in image and its shortage representation of the ridge and furrow patterns which cause deficiency and block artifacts rema...

the article introduces cyclic dilation groups and finite affine groups for prime integers, and  as an application of this theory it presents a unified group theoretical approach for the  cyclic wavelet transform (cwt) of prime dimensional periodic signals.

This paper presents a generalization of the continuous wavelet transform to higher dimensions. This generalization includes previous higher dimensional generalizations as special cases, without the loss of the elegance of the one-dimensional equations. One noteworthy special case is a transform that is closely related to the cortex transform developed by Watson. This special case rmly relates t...

spectral decomposition is a powerful tool for analysis of seismic data. fourier transform determines the frequency contents of a signal. but for analysis of non-stationary signals, 1-d transform to frequency domain is not sufficient. in early years, transforming of seismic traces into time and frequency domain was done via windowed fourier transform, called a short time fourier transform (stft)...

Combined use of the X-ray (Radon) transform and the wavelet transform has proved to be useful in application areas such as diagnostic medicine and seismology. In the present paper, the wavelet X-ray transform is introduced. This transform performs one-dimensional wavelet transforms along lines in R n , which are parameterized in the same fashion as for the X-ray transform. It is shown that the ...

the article introduces cyclic dilation groups and finite affine groups for prime integers, and  as an application of this theory it presents a unified group theoretical approach for the  cyclic wavelet transform (cwt) of prime dimensional periodic signals.

In recent years, wavelet based algorithms have been successful in different signal processing tasks. The wavelet transform is a powerful tool because it manages to represent both transient and stationary behaviours of a signal with few transform coefficients. In this paper we present new expansions and algorithms which improve wavelet algorithms. First we focus on one dimensional piecewise smoo...