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(gòu)造緊支撐三元不可分正交尺度函數(shù)和正交小波函數(shù)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(gòu)造了一類正交基插值尺度函數(shù)(簡稱cosf ) ,并證明它們具有指數(shù)衰減性;第四節(jié)調(diào)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。