CAJ | 학술논문

对具有任意伸缩矩阵A的插值加细函数,给出对应于L2(Rs)中的小波包的一个构造方法. 采样空间被直接分解来取代对加细函数的符号分解. 按照这个方法构造的插值小波包能对基插值空间提供较为精细的分解,因而对自适应的插值给出较好的局部化.
대구유임의신축구진A적삽치가세함수,급출대응우L2(Rs)중적소파포적일개구조방법. 채양공간피직접분해래취대대가세함수적부호분해. 안조저개방법구조적삽치소파포능대기삽치공간제공교위정세적분해,인이대자괄응적삽치급출교호적국부화.
A method is presented for constructing wavelet packets of L2(Rs) associated with an interpolatory refinable function with arbitrary dilation matrix A. Sampling space is split directly instead of using the mask of the refinable function. The interpolatory wavelet packets constructed by our method can provide a finer decomposition for the cardinal interpolation space and give a better localization for an adaptive interpolation.