2-D Orthogonal wavelets

Picture of the Daubechies' Symmlet with 8 vanishing moments. Note the checkerboard pattern in the center.

Symlet with 8 vanishing moments

2-D Complex wavelets

Below are some pictures of a 2-D complex wavelet, designed using the method of Prof. Ivan Selesnick (the degree of zeros at z=-1 is 3, the degree of fractional delay is 2, hence all filter pairs consist of 10 coefficients).

Real part of a complex wavelet (basis function of the Dual-Tree complex wavelet transform) Imaginary part of the complex wavelet Magnitude of the same complex wavelet