一类二维非可分细分函数的正则性估计

An Estimate of the Regularity of a Class Bidimensional Nonseparable Refinable Functions

设Ｍ-细分函数用于对应于二维图像处理中梅花状子取样的小波基的构造．本文用迹类算子的谱半径给出了具有指数衰减面具的Ｍ-细分函数Ｓｏｂｏｌｅｖ-指数的一个估计.

Let M M-refinable functions are used in the construction ofwavelets corresponding to quincunx subsampling in two dimensions for image processing. In this paper, an estimate of the Sobolev exponent of M-refinable functions withexponentially decaying masks is obtained.