Browse > Article
http://dx.doi.org/10.17662/ksdim.2014.10.3.237

Digital Image Processing Using Tunable Q-factor Discrete Wavelet Transformation  

Shin, Jong Hong (숭실사이버대학교 융합정보보안학과)
Publication Information
Journal of Korea Society of Digital Industry and Information Management / v.10, no.3, 2014 , pp. 237-247 More about this Journal
Abstract
This paper describes a 2D discrete-time wavelet transform for which the Q-factor is easily specified. Hence, the transform can be tuned according to the oscillatory behavior of the image signal to which it is applied. The tunable Q-factor wavelet transform (TQWT) is a fully-discrete wavelet transform for which the Q-factor, Q, of the underlying wavelet and the asymptotic redundancy (over-sampling rate), r, of the transform are easily and independently specified. In particular, the specified parameters Q and r can be real-valued. Therefore, by tuning Q, the oscillatory behavior of the wavelet can be chosen to match the oscillatory behavior of the signal of interest, so as to enhance the sparsity of a sparse signal representation. The TQWT is well suited to fast algorithms for sparsity-based inverse problems because it is a Parseval frame, easily invertible, and can be efficiently implemented. The TQWT can also be used as an easily-invertible discrete approximation of the continuous wavelet transform. The transform is based on a real valued scaling factor (dilation-factor) and is implemented using a perfect reconstruction over-sampled filter bank with real-valued sampling factors. The transform is parameterized by its Q-factor and its oversampling rate (redundancy), with modest oversampling rates (e. g. 3-4 times overcomplete) being sufficient for the analysis/synthesis functions to be well localized. Therefore, This method services good performance in image processing fields.
Keywords
Wavelet Transform; Constant Q Transform; Sparse Signal Representation;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 신종홍, "3중 밀도 이산 웨이브렛 변환을 이용한 디지털 영상 처리 기법," 디지털산업정보학회논문집, 제8권, 제3호, 2012, pp. 131-143.
2 http://ko.wikipedia.org/
3 I. W. Selesnick, "Sparse signal representations using the tunable Q-factor wavelet transform," In Proceedings of SPIE, Vol. 8138 (Wavelets and Sparsity XIV), 2011.
4 신종홍, "이중 밀도 웨이브렛 변환의 성능 향상을 위한 3방향 분리 처리 기법," 디지털산업정보학회 논문집, 제8권, 제2호, 2012, pp. 131-143.
5 I. W. Selesnick, "Wavelet transform with tunable Q-factor," IEEE Trans. on Signal Processing. Vol. 59, No. 8, 2011, pp. 3560-3575.   DOI   ScienceOn
6 Jingyu Yang, Yao Wang, "Image Coding Using DualTree Discrete Wavelet Transform," IEEE Trans. on Image Processing, Vol. 17, No. 9, 2008, pp. 1555-1569.   DOI   ScienceOn
7 I. W. Selesnick, "A higher-density discrete wavelet transform," IEEE Trans. on Signal Processing, Vol. 54, No. 8, 2006, pp. 3039-3048.   DOI   ScienceOn
8 신종홍, "고밀도 이산 웨이브렛 변환을 이용한 2차원 디지털 영상 처리 기법," 한국인터넷방송통신학회논문지, 제13권, 제1호, 2013, pp. 1-8.