%0 Journal Article
%T The Determination of 3D Multiwavelet Transform
%J IRAQI JOURNAL OF COMPUTERS, COMMUNICATIONS, CONTROL AND SYSTEMS ENGINEERING
%I University of Technology-Iraq
%Z 1811-9212
%A A. Mahmoud, W.
%A S. AbdulWahab, M.
%A N. AL-Taai, H.
%D 2006
%\ 08/28/2006
%V 6
%N 2
%P 28-46
%! The Determination of 3D Multiwavelet Transform
%K D Discrete Multiwavelet Transform
%K D Inverse Discrete Multiwavelet Transform
%K Oversampled Scheme of Preprocessing
%R
%X Abstract:
The relatively new field of multiwavelets shows promise in removing some of
the limitations of wavelets. Multiwavelets offer more design options and hence can
combine all desirable transform features. In this paper several new algorithms for
computing advance transforms are proposed. Firstly a fast procedure for computing of
1-D and 2-D multiwavelet transforms is introduced. Secondly, for the first time, a
complete new procedure for computing of 3-D multiwavelet transforms is given.
Thirdly, the inverse procedures of all the above transform for multi-dimensional cases
are verified. In addition to the mathematical prove, all these new algorithms were
verified also using illustrated example.
%U