In this paper , we give a new algorithm of construction compactly supported trivariate orthogonal scaling function with dilation matrix 21 , at the same time , the correspond wavelets are also given 本文給出構造緊支撐三元不可分正交尺度函數和正交小波函數的新算法。
In detail , a class of cardinal orthogonal scaling functions , which are abbreviated as cosf , are constructed in the third section , and are proved that they have the properties of decay ; in the fourth section , the regularities of these cosf are studied in the generalized condition ; under the two special cases , the regularities and the decays of these cosf are discussed in the fifth and sixth sections , respectively 具體為:第三節(jié)構造了一類正交基插值尺度函數(簡稱cosf ) ,并證明它們具有指數衰減性;第四節(jié)調查了一般情況下這類cosf的光滑性;第五節(jié)、第六節(jié)分別討論了兩種情況下這類cosf的光滑性和衰減性。