具有消失矩的新二元正交小波
New bivariate orthogonal wavelets with vanishing moments
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摘要: 研究了一类新二元紧支撑正交小波的构造方法,由此构造方法可得到一类新的二元张量积(可分的)小波和二元非张量积(不可分)小波,而且构造过程较为简单.在给出详细的构造方法的同时,讨论了这类新的二元小波所具有的消失矩性质,最后给出一些具体的例子对方法进行了验证.Abstract: A new method of construction of bivariate compactly supported orthogonal wavelets is proposed.Some new bivariate separable and bivariate non-separable wavelets can be obtained by the constructing method and the method is so simple.Giving the detail of the constructing method,the vanishing moments properties of this new bivariate wavelets are also discussed. Some numerical examples are given at last to demonstrate our method.