The research of characters of biorthogonal non-tensor three-dimensional wavelet packets
Luo Ping, Tian Xin-Xian · 2010
Wavelet analysis is a popular subject in science research. The notion of univariate orthogonal wavelet packets is generalized. First, the notion of biorthogonal nonseparable tri-variate wavelet packets is proposed and a procedure for constructing them is presented. Next, the biorthogonality property of trivariate wavelet packets is investigated, and three biorthogonality formulas of wavelet packets are established.