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Construction and Application of Multi- dimensional Wavelets Using Gröbner Basis
2010 Edition, Volume 1, April 1, 2010 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

The problem of Construction and Application of Multi-dimensional Wavelets is studied. Using the concept of Gröbner basis and the algorithms of syzygy module in computing algebra, we design the...

Design of regular nonseparable bidimensional wavelets using Grobner basis techniques
1998 Edition, Volume 46, April 1, 1998 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

The design of two-dimensional (2-D) filter banks yielding orthogonality and linear-phase filters and generating regular wavelet bases is a difficult task involving the algebraic properties of multivariate polynomials. Using cascade forms implies...

Construction of Arbitrary Dimensional Biorthogonal Multiwavelet Using Lifting Scheme
2009 Edition, Volume 18, May 1, 2009 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper focuses on the construction of multidimensional biorthogonal multiwavelets and the perfect reconstruction multifilter banks. Based on the Hermite-Neville filter, two lifting structures have been proposed and systematically investigated, and a general...

Identification of Time-Varying Systems Using Multi-Wavelet Basis Functions
2011 Edition, Volume 19, May 1, 2011 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This brief introduces a new parametric modelling and identification method for linear time-varying systems using a block least mean square (LMS) approach where the time-varying parameters are approximated using multi-wavelet basis functions. This approach...

Multi-dimensional Compression Using JPEG2000
2008 Edition, March 1, 2008 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

Summary form only given. JPEG2000 Part 2 by Taubman, D.S. and Marcellin, M.W. (2002) supports the use of multi-component transforms (MCT) to decorrelate multi-component image data along the component direction. Three types of point transforms are allowed:...

Three Dimensional Data-Driven Multi Scale Atomic Representation of Optical Coherence Tomography
2015 Edition, Volume 34, May 1, 2015 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

In this paper, we discuss about applications of different methods for decomposing a signal over elementary waveforms chosen in a family called a dictionary (atomic representations) in optical coherence tomography (OCT). If the representation is learned from the data, a nonparametric...

Motion-Pattern Recognition System Using a Wavelet-Neural Network
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper presents a wavelet-neural network recognition system for personal fitness assistance and elderly daily activity monitoring applications. This Discrete Wavelet Transform Radial Basis Neural Network (DWT-RBNN) analyzes vibration induced by human motions,...

Image representation using 2D Gabor wavelets
1996 Edition, Volume 18, October 1, 1996 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper extends to two dimensions the frame criterion developed by Daubechies for one-dimensional wavelets, and it computes the frame bounds for the particular case of 2D Gabor wavelets. Completeness criteria for 2D Gabor image representations are important...

A Fractal Multi-wavelets Filter Design and Application
2011 Edition, Volume 2, September 1, 2011 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

In this paper, in order to obtain the more accurate local features of the iris image, firstly, on the basis of the first-order Taylor expansion of Gauss Function, orthonormality is employed to obtain a set of complete quadratic units orthogonal basis,...

On the generation and use of two-dimensional wavelet-like basis functions
2001 Edition, January 1, 2001 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

Wavelets and wavelet analysis have become an important area in the computational sciences. Their applications are wide ranging and vary from signal analysis and image compression to the solution of partial differential equations. Gordon and...

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