【摘要】 斜矩阵是Walsh矩阵的一种变形,可以由Walsh矩阵变异得到。而Walsh矩阵又与小波关系密切。这样就可将斜矩阵和小波通过Walsh矩阵联系起来。论文利用这种思想提出一种基于带参数斜矩阵的多进制多小波的构造方法,这类多进制多小波的滤波器组矩阵由参数斜矩阵生成,构造方便,并能通过对参数的适当选择使滤波器系数更具灵活性。论文实验中利用这类多进制多小波进行图像阈值去噪,获得了良好的效果。更多还原

【Abstract】 Slant matrix is the mutation of Walsh matrix.Walsh matrix has a close relationship with the wavelet.Slant matrix can be generated by Walsh matrix,so we relate Slant matrix with wavelet through Walsh matrix.In the paper,we construct a kind of M-bond multiwavelet.The filter banks of these M-bond multiwavelets are conveniently generated by parametric Slant matrixes.The filter banks are very flexible by being chosen some proper parameters.In the numerical test,we apply this kind of M-bond multiwavelet to image denoising based on threshold and get a satisfactory result.更多还原