以Meyer为基函数的剪切波对MRI医学图像的增强

Enhancement of MRI medical image by shear wave based on Meyer

针对小波变换在图像去噪中方向较为单一的缺点,采用Meyer小波与剪切波结合的方式,以控制奇异曲线的方向.选取Meyer小波作为剪切波的基函数,建立Meyer剪切滤波器对图像进行增强.Meyer小波的性质与S形函数有着紧密的联系,通过研究非多项式型S形函数的构造方法,构造出充分光滑的S形函数.通过MRI图像,将构造的S形函数与多项式型S形函数的去噪效果进行对比分析.结果表明,其去噪效果均较明显,能达到一定的图像增强效果.

Aimed at the disadvantage that wavelet transform has a single direction in image denoising,the method of combining Meyer wavelet and shear wave is adopted to control the direction of singular curve.Meyer wavelet is selected as the basis function of shear wave,and Meyer shear filter is established to enhance the image.The properties of Meyer wavelet are closely related to S-shape function,by studying the construction method of nonpolynomial S-shape function,a sufficiently smooth S-shape function is given.Through MRI images,the denoising effects of the constructed S-shaped function and the polynomial S-shape function are compared and analyzed.The results show that their denoising effects are obvious and can achieve a certain image enhancement effect.