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V系统在图像消噪中的应用

DOI: 10.11834/jig.20090732

Keywords: 正交系,V系统,离散V变换,图像消噪,小波

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Abstract:

小波变换是一种强有力的图像消噪方法,选取合适的小波变换具有重大意义。k次V系统是一类在L2[0,1]空间上新建立的完备正交系,它由分段k次多项式组成,具有多小波(multi-wavelet)的多分辨(multi-resolution)特性,特别是它的基函数中既有连续的函数又有间断的函数,这是它与其他经典正交系的不同。文中利用线性V系统及其相应的正交V变换,探索V系统在数字图像消噪中的应用。将V系统的消噪效果与经典的小波消噪进行比较,采用PSNR作为评价标准,利用MATLAB进行大量的试验,结果表明V系统对高斯白噪声、椒盐噪声以及乘性斑点噪声的消除均有明显的优势。

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