20 September 2007 Hilbert-like tight frame wavelets with symmetric envelope
Author Affiliations +
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.
© (2007) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
A. Farras Abdelnour, A. Farras Abdelnour, "Hilbert-like tight frame wavelets with symmetric envelope", Proc. SPIE 6701, Wavelets XII, 67011B (20 September 2007); doi: 10.1117/12.733192; https://doi.org/10.1117/12.733192


Back to Top