Abstract In this paper, the authors present several self-developed implementation variants of Discrete Wavelet Transform (DWT) computation algorithms and compare their execution times against commonly approved ones for representative modern Graphics Processing Units (GPUs) architectures. The proposed solutions avoid time-consuming modulo divisions conditional instructions used DWT filters wrapp...

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.

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 param-eterized in the same fashion as for the X-ray transform. It is shown that the...

This paper analytically formulates both the optimal quantization noise allocation ratio and the coding gain of the two-dimensional morphological Haar wavelet transform. The two-dimensional morphological Haar wavelet transform has been proposed as a nonlinear wavelet transform. It has been anticipated for application to nonlinear transform coding. To utilize a transformation to transform coding,...

This work shows the use of a two-dimensional Gabor wavelets in image processing. Convolution with such a two-dimensional wavelet can be separated into two series of one-dimensional ones. The key idea of this work is to utilize a Gabor wavelet as a multiscale partial differential operator of a given order. Gabor wavelets are used here to detect edges, corners and blobs. A performance of such an ...

Biomarkers which predict patient’s survival can play an important role in medical diagnosis and treatment. How to select the significant biomarkers from hundreds of protein markers is a key step in survival analysis. In this paper a novel method is proposed to detect the prognostic biomarkers of survival in colorectal cancer patients using wavelet analysis, genetic algorithm, and Bayes classifi...

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...

The Discrete Wavelet Transform (DWT) is one of the powerful signal processing tools. It has been effectively used in wide range of applications including image processing, speech analysis, pattern recognition and biometrics. Large amount of memory is required for storing the intermediate values for the implementation of Two Dimensional Discrete Wavelet Transform. Transposition Memory (TM) requi...

This paper implements a new leukemia identification method which depends on Mel frequency cepstral coefficient (MFCC) feature extraction and wavelet transform. Leukemia identification is a measurement of blood cell features for detecting the blood cancer of a patient. Blood cell feature extraction is based on transforming the blood cell two dimensional (2D) image into one dimensional (1D) signa...