摘要
高维小波分析是分析和处理多维数字信号的有力工具．非张量积多元小波被广泛地应用在模式识别、纹理分析和边缘检测等领域．本文给出方体域上三元正交滤波器的一种参数化构造算法,三元小波滤波器的这种构造方法使我们能更方便地研究非张量积的三元正交小波．最后给出数值算例．
Multivariate wavelets analysis are powerful tool for multi-dimension signal processing. Non-tensor multivariate wavelets was wildly used in pattern recognition and texture analysis and edge detection. In this paper, we give an algorithm of parametric representation compactly supported trivatiate orthogonal wavelet filter. This representation simplifies the study of trivariate orthogonal wavelet. Four examples are alse given to demonstrate the method.
出处
《应用数学学报》
CSCD
北大核心
2006年第5期901-911,共11页
Acta Mathematicae Applicatae Sinica
基金
国家民委重点科研基金(10071012号)资助项目.
关键词
紧支撑
正交小波滤波器
参数化
多元小波
张量积
compactly supported
orthogonal wavelets filters
parametrization
multivariate wavelet
tensor product
