The finer directional wavelet transform

Citation:

Y. Lu and M. N. Do, “The finer directional wavelet transform,” in Proc. IEEE International Conference on Acoustics, Speech and Signal Processing, Philadelphia, 2005.
fdwavelets_icassp05.pdf124 KB

Date Presented:

Mar.

Abstract:

Directional information is an important and unique feature of multidimensional signals. As a result of a separable ex- tension from one-dimensional (1-D) bases, the multidimen- sional wavelet transform has very limited directionality. Furthermore, different directions are mixed in certain wavelet subbands. In this paper, we propose a new transform that fixes this frequency mixing problem by using a simple “add- on” to the wavelet transform. In the 2-D case, it provides one lowpass subband and six directional highpass subbands at each scale. Just like the wavelet transform, the proposed transform is nonredundant, and can be easily extended to higher dimensions. Though nonseparable in essence, the proposed transform has an efficient implementation based on 1-D operations only.

Last updated on 01/02/2012