DocumentCode :
833700
Title :
A steerable complex wavelet construction and its application to image denoising
Author :
Bharath, Anil Anthony ; Ng, Jeffrey
Author_Institution :
Dept. of Bioeng., Imperial Coll., London, UK
Volume :
14
Issue :
7
fYear :
2005
fDate :
7/1/2005 12:00:00 AM
Firstpage :
948
Lastpage :
959
Abstract :
This work addresses the design of a novel complex steerable wavelet construction, the generation of transform-space feature measurements associated with corner and edge presence and orientation properties, and the application of these measurements directly to image denoising. The decomposition uses pairs of bandpass filters that display symmetry and antisymmetry about a steerable axis of orientation. While the angular characterization of the bandpass filters is similar to those previously described, the radial characteristic is new, as is the manner of constructing the interpolation functions for steering. The complex filters have been engineered into a multirate system, providing a synthesis and analysis subband filtering system with good reconstruction properties. Although the performance of our proposed denoising strategy is currently below that of recently reported state-of-the-art techniques in denoising, it does compare favorably with wavelet coring approaches employing global thresholds and with an "Oracle" shrinkage technique, and presents a very promising avenue for exploring structure-based denoising in the wavelet domain.
Keywords :
band-pass filters; filtering theory; image denoising; image reconstruction; interpolation; wavelet transforms; bandpass filter; image denoising; image reconstruction; interpolation function; multirate system; steerable complex wavelet construction; subband filtering system; transform-space feature; wavelet coring approach; Band pass filters; Displays; Filter bank; Filtering; Frequency domain analysis; Image denoising; Interpolation; Low pass filters; Noise reduction; Wavelet domain; Complex wavelet; corner and edge features; steerable pyramid; structure-based denoising; Algorithms; Artificial Intelligence; Computer Simulation; Image Enhancement; Image Interpretation, Computer-Assisted; Information Storage and Retrieval; Models, Statistical; Signal Processing, Computer-Assisted; Stochastic Processes;
fLanguage :
English
Journal_Title :
Image Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1057-7149
Type :
jour
DOI :
10.1109/TIP.2005.849295
Filename :
1439567
Link To Document :
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