A Dual-Tree Complex Wavelet with Application in Image Denoising

Author

Baradarani, Aryaz ; Yu, Runyi

Author_Institution

Dept. of Electr. & Electron. Eng., Eastern Mediterranean Univ., Famagusta

fYear

2007

fDate

24-27 Nov. 2007

Firstpage

1203

Lastpage

1206

Abstract

This paper introduces a recently designed dual-tree complex wavelet and studies its application in image denoising. The primal filter bank is selected to be the Daubechies 9/7 filter bank, and the dual filter bank is designed to have length of 10/8; both filter banks are biorthogonal and symmetric. The wavelets of the dual-tree filter bank form (almost) Hilbert transform pairs, allowing nearly shift-invariance and good directionality of the dual-tree complex wavelet transform. The transform is then used in image denoising. We employ the bivariate shrinkage algorithm for wavelet coefficient modeling and thresholding. Various images are tested. The experimental results compare favorably to some other dual-tree complex wavelets.

Keywords

Hilbert transforms; image denoising; wavelet transforms; Hilbert transform pairs; biorthogonal filter bank; bivariate shrinkage algorithm; dual-tree complex wavelet transform; image denoising; primal filter bank; symmetric filter bank; wavelet coefficient modeling; Biomedical signal processing; Discrete wavelet transforms; Filter bank; Finite impulse response filter; Image denoising; Image processing; Noise reduction; Probability distribution; Wavelet coefficients; Wavelet transforms; Dual-tree complex wavelets; bivariate shrinkage; image denoising; wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing and Communications, 2007. ICSPC 2007. IEEE International Conference on

Conference_Location

Dubai

Print_ISBN

978-1-4244-1235-8

Electronic_ISBN

978-1-4244-1236-5

Type

conf

DOI

10.1109/ICSPC.2007.4728541

Filename

4728541