对图像用小波进行层小波分解(The wavelet decomposition of the wavelet is carried out).doc
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对图像用小波进行层小波分解(The wavelet decomposition of the wavelet is carried out)
One: the introduction in this paper, based on two-dimensional wavelet theory, its application in image processing on some analysis and processing, tries hard to reflect the wavelet analysis has its unique characteristics in image processing. This article discusses the following points:
The basic concept of wavelet is the image compression image enhanced image smoothing processing
Ii. Basic concepts of wavelet
Wavelet definition: a set of its Fourier transform for, when the permit conditions, namely the perfect reconstruction condition or identity resolution. When we call for a basic wavelet or mother wavelet, the generating function after scaling and translation. We call it a small wave sequence. Where a is the scaling factor, and b is the translation factor.
Wavelet transform is a kind of signal time - scale analysis methods, he has the characteristics of multi-resolution analysis, and in both time and frequency domain has the ability of denoting local signal characteristics, is a kind of fixed window size but the shape variable, time window and frequency window variable time-frequency localization analysis method. The low frequency part again has high frequency resolution and time resolution, in the high frequency part with high temporal resolution and low frequency resolution, very suitable for normal signal detection in the midst of transient abnormal phenomenon and show its composition, so is regarded as a microscope analysis of signals.
Wave analysis is to decompose the signal into two parts, low frequency al and high frequency dl. In decomposition, the information lost in low frequency al is captured by high frequency dl. In the next layer of decomposition, al is decomposed into low frequency a2 and high-frequency d2 two parts, the lost information by high frequency low frequency a2 d2, so on, can be further decomposed.
Two-dimensional wavelet function is through a one-dimensional wavelet
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