The Three Directional Separable Processing Method for Double-Density Wavelet Transformation Improvement

이중 밀도 웨이브렛 변환의 성능 향상을 위한 3방향 분리 처리 기법

  • 신종홍 (숭실사이버대학교 정보보안학과)
  • Published : 2012.06.30

Abstract

This paper introduces the double-density discrete wavelet transform using 3 direction separable processing method, which is a discrete wavelet transform that combines the double-density discrete wavelet transform and quincunx sampling method, each of which has its own characteristics and advantages. The double-density discrete wavelet transform is nearly shift-invariant. But there is room for improvement because not all of the wavelets are directional. That is, although the double-density DWT utilizes more wavelets, some lack a dominant spatial orientation, which prevents them from being able to isolate those directions. The dual-tree discrete wavelet transform has a more computationally efficient approach to shift invariance. Also, the dual-tree discrete wavelet transform gives much better directional selectivity when filtering multidimensional signals. But this transformation has more cost complexity Because it needs eight digital filters. Therefor, we need to hybrid transform which has the more directional selection and the lower cost complexity. A solution to this problem is a the double-density discrete wavelet transform using 3 direction separable processing method. The proposed wavelet transformation services good performance in image and video processing fields.

Keywords

References

  1. N. G. Kingsbury, "Complex wavelets for shift invariant analysis and filtering of signals," Appl. Comput. Harmon. Anal., Vol. 10, No. 3, May 2001, pp. 234-253. https://doi.org/10.1006/acha.2000.0343
  2. Jingyu Yang, Yao Wang, "Image Coding Using DualTree Discrete Wavelet Transform," IEEE Trans. on Image Processing, Vol. 17, No. 9, September 2008, pp.1555-1569. https://doi.org/10.1109/TIP.2008.926159
  3. I. W. Selesnick, "The double-density dual-tree DWT," IEEE Trans. on Signal Processing, Vol. 52, No. 5, May 2004, pp. 1304-1314. https://doi.org/10.1109/TSP.2004.826174
  4. I. W. Selesnick, "The double density Dual -Tree DWT," IEEE Trans. on Signal Processing, Vol. 52, No. 5, May 2004, pp. 1304-1314. https://doi.org/10.1109/TSP.2004.826174
  5. Kovacevic and W. Sweldens, "Wavelet families of increasing order in arbitrary dimensions," IEEE Trans. on Image Processing, vol. 9, No. 3, Mar. 2000, pp. 480-496. https://doi.org/10.1109/83.826784
  6. 신종홍, "디지털 영상 처리를 위한 Quincunx 표본화가 사용된 이중 트리 이산 웨이브렛 변환," 디지털산업정보학회논문집, 제7권 제4호, 2011년 12월, pp. 119-131.
  7. 임중희, 신종홍, "이중 밀도 웨이브렛 변환의 성능 향상을 위한 Quincunx 표본화 기법," 디지털 산업정보학회논문집, 제8권 제2호, 2012년 3월, pp. 171-181.