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Wavelet Designing Based on Slant Transform and Application

Author: RongFuMei
Tutor: ShiBaoChang
School: Huazhong University of Science and Technology
Course: Computational Mathematics
Keywords: Multi- band wavelet Multiwavelets Slant Transform Image Denoising Image compression
CLC: TP391.41
Type: Master's thesis
Year: 2007
Downloads: 31
Quote: 1
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Abstract


Wavelet analysis is in the late eighties of last century produced a new discipline, which is the mathematical theory and practical application of the crystal. In recent years, the application of wavelet transform is more of a signal analysis tools , because it has good characteristics and frequency domain characteristics of multi-resolution , image processing has become a very effective method for encoding the image has important application prospect. Walsh analysis is an extension of Fourier analysis and development. Since it is only take two values ??1 and -1 , more suitable for the expression and processing of digital information , and cosine functions , and have similar properties , and thus the signal and image processing , and many other fields has been widely used. Walsh transform has its own characteristics and advantages, and more rapid than the fast Fourier transform , especially for two-dimensional data processing and real-time data processing . Diagonal matrix is a variant of the Walsh matrix is orthogonal matrix , they are closely linked. They are wavelet matrix . How Walsh transform and wavelet transform is linked to the focus of this study . In this paper, based on wavelet transform oblique design process and its theoretical basis , based on the Slant Transform propose a new multi -band multi-wavelet design ideas , changed the traditional method of wavelet transform filter derivation of unity and complexity, the tilting of the filter bank transform algorithm to generate fast , simple derivation , to achieve high efficiency. Traditional wavelet filter generation process cumbersome, derivation process is complex, and the resulting filter bank irregular form , and this method is not easy to achieve . This study is a multi -band wavelet vector wavelet applied in practice more widely. Theory lies in the application , our ultimate desire is to be able in practice to achieve better results . This paper presents the application of wavelet transform based on oblique two simulation experiments , the first experiment is for image de-noising, the second is used for image compression . And with the traditional wavelet de-noising and compression of the image were compared in terms of performance , the experimental results show that the proposed wavelet image denoising and compression has a better performance , and easy to construct such wavelet filters , computing speed fast.

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CLC: > Industrial Technology > Automation technology,computer technology > Computing technology,computer technology > Computer applications > Information processing (information processing) > Pattern Recognition and devices > Image recognition device
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