一类双正交插值小波的参数化构造及图像编码应用

研究采用了提升构造参数化的双正交小波类方法，构造了一类仅用一个自由参数表达的双正交插值小波，并推导出了其相关小波滤波器的参数表达式。自由参数为小波的优化设计提供了一个自由度，以编码增益为优化准则，构造出一种新的插值小波，其滤波器系数为二进制分数，可实现非乘法运算的离散小波变换（DWT）。实验结果表明，其图像压缩性能超过在小波变换编码领域中应用最为广泛的9/7小波（CDF-9/7），而且计算复杂度降低了17%以上，因此，在压缩性能和计算复杂度两者之间取得了一个较好的平衡。

Parameterization Construction of A Class of Biorthogonal Interpolating Wavelets and Their Application to Image Coding

This paper depicts how to construct parametric biorthogonal wavelet family via lifting scheme,and gives the complete construction of a new class of parametric biorthogonal interpolating wavelets with one parameter.The exact parameter expressions of their associated interpolating filter banks are also derived.The free parameter provides a degree of freedom to optimize the resulting wavelets,and a previously unpublished interpolating wavelet is obtained with respect to the coding gain criteria,which has binar...