The contribution of this work is to generalize the real and complex wavelet transforms and to derive for the first time a quaternionic wavelet pyramid for multi-resolution analysis using three phases. The paper can be very useful for researchers and practitioners interested in understanding and applications of the quaternion wavelet transform.

This term project report introduces the well-know Gabor wavelet transform and its applications. Wavelet transform could extract both the time (spatial) and frequency information from a given signal, and the tunable kernel size allows it to perform multi-resolution analysis. Among kinds of wavelet transforms, the Gabor wavelet transform has some impressive mathematical and biological properties ...

In this research the wavelet transform was applied to detect clouds and their shadows and subsequently fill out the missing information in a multitemporal set of Aster images of the north area of Ecuador. Wavelet theory is a powerful mathematical tool recently developed for signal processing. Remote sensing images can be considered as a signal. Furthermore, the wavelet transform is related to t...

A multi-resolution fusion algorithm, which combines aspects of region and pixel-based fusion. We use multi resolution decompositions to represent the input images at different scales, and introduce multi resolution or multi modal segmentation to partition the image domain at these scales. This segmentation is then used to guide the subsequent fusion process using wavelets. A region-based multi ...

We show that a multi-dimensional scaling function of order γ (possibly fractional) can always be represented as the convolution of a polyharmonic B-spline of order γ and a distribution with a bounded Fourier transform which has neither order nor smoothness. The presence of the B-spline convolution factor explains all key wavelet properties: order of approximation, reproduction of polynomials, v...

The performance of speech recognition systems is mainly determined by the used acoustic feature extraction technique. Two techniques are known, namely the full-band approach and the multi-band approach using filter banks. Systems using either approach usually suffer from performance degradation in the presence of noise. In this paper, the multi-band approach using Wavelet transform is suggested...

Wavelet transform multi-stage identification system is presented. This paper intends to introduce high accuracy of identification the speech signal of very difficult nature that is nonstationary. Three methods are used to extract the essential speaker features based on Continuous, Discrete Wavelet Transform and Statistical Quality Evaluation Method. To have better identification rate three meas...

This paper presents an unsupervised method of texture classification by combining the two most commonly used multi-resolution, multi-channel filters: Gabor filters and wavelet transform. We used a set of 8 Gabor filters and 2 wavelet filters: Daubeschies and Haar, for our analysis. The parameters (viz. frequency, orientation and size) of the Gabor filter bank are obtained by trial and error met...