Wavelets based on Hilbert pairs have appealing properties when applied to image denoising and feature detection due to their directional sensitivity. In this paper we propose dual-tree tight frame wavelets and scaling functions {φh, ψh1, ψh2, ψh3} and {φg, ψg1, ψg2, ψg3} based on FIR filterbanks of four filters, and downsampling by 2. Such wavelets closely approximate shift invariance. Moreover, the resulting complex wavelets are smooth and lead to exactly symmetric envelope. The filters in this paper enjoy vanishing moments property.

Date Published: 20 September 2007
PDF: 10 pages
Proc. SPIE 6701, Wavelets XII, 67011B (20 September 2007); doi: 10.1117/12.733192

Published in SPIE Proceedings Vol. 6701:
Wavelets XII
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)