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一种使快速二进小波变换和范化Tsallis熵的乳腺图像增强方法

Mammogram Enhancement Using Lifting Dyadic Wavelet Transform and Normalized Tsallis Entropy

  • 摘要: 使用基于加速的二进样条小波和范化Tsallis熵的快速二进小波变换(FDyWT),我们在此文提出了一种新型的乳腺X线图像增强技术.首先,使用FDyWT,将乳腺X线图像分解成包括低频子带和高频子带的多层次结构.其次,使用高频子带图像模量局部方差的范化Tsallis熵,将检测的环境噪音制止.再次,使用非线性算符,修改高频子带的小波系数;并且使用幂次转换,修改第一层的低频子带图像并压缩背景.一方面,FDyWT平移不变,并能较好地检测奇异点像,如边,但是它的性能取决于二进小波的选择.另一方面,对奇异点像分析而言,消失矩数量是二进小波的一个重要特征,因为它为奇异点像特征描述提供了一个上限的量度;使用二进提升方案,我们构建了随着消失矩数量增加而具有不同度的快速条样二进小波.此外,我们检验了这些小波对乳腺X线图像增强的效果;并分别在不同背景的组织类型和不同异常情况的乳腺X线图像上进行试验,这些图像源于乳腺X线图像分析学会(Mammographic Image Analysis Society)数据库.通过与现有对比增强方法对比,证实了本文提出的方法显著优于其它方法.

     

    Abstract: In this paper, we present a new technique for mammogram enhancement using fast dyadic wavelet transform (FDyWT) based on lifted spline dyadic wavelets and normalized Tsallis entropy. First, a mammogram image is decomposed into a multiscale hierarchy of low-subband and high-subband images using FDyWT. Then noise is suppressed using normalized Tsallis entropy of the local variance of the modulus of oriented high-subband images. After that, the wavelet coefficients of high-subbands are modified using a non-linear operator and finally the low-subband image at the first scale is modified with power law transformation to suppress background. Though FDyWT is shift-invariant and has better potential for detecting singularities like edges, its performance depends on the choice of dyadic wavelets. On the other hand, the number of vanishing moments is an important characteristic of dyadic wavelets for singularity analysis because it provides an upper bound measurement for singularity characterization. Using lifting dyadic schemes, we construct lifted spline dyadic wavelets of different degrees with increased number of vanishing moments. We also examine the effect of these wavelets on mammogram enhancement. The method is tested on mammogram images, taken from MIAS (Mammographic Image Analysis Society) database, having various background tissue types and containing different abnormalities. The comparison with the state-of-the-art contrast enhancement methods reveals that the proposed method performs better and the difference is statistically significant.

     

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