广义Hermite插值型尺度函数向量  

Generalized Scaling Function Vector with Hermite Interpolating Property

作　　者：成丽波[1] 付瑶[2] 

机构地区：[1]长春理工大学理学院,长春130022 [2]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2011年第5期887-889,共3页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:60673021)

摘　　要：通过引入Hermite插值条件,针对膨胀因子为d>2的情形,给出一个新的广义Hermite插值型尺度函数向量,描述了插值性质,并结合相应的Hermite插值型尺度滤波器,刻画了广义Hermite插值型尺度函数向量的性质,进而给出紧支集小波的构造算法.With introducing of Hermite interpolating condition and aiming at the dilation factor d2,we presented a new generalized Hermite interpolating scaling function vector,and investigated their interpolation property and described several properties of the generalized Hermite interpolating scaling function vector in terms of its mask.Moreover,the construction algorithms of the compactly supported wavelet were derived.

关 键 词：广义尺度函数向量 Hermite插值性质 尺度滤波器 

分 类 号：O241.5[理学—计算数学]