Shift-invariant Non-aliasing Multiscale Geometric Analysis Filter Banks: Theory, Design and Application
Authors: 
Yan He, Liu Jie, Wang PuAuthors Info & Claims
Yan He, Liu Jie, Wang PuAuthors Info & ClaimsPages 95 - 100
Abstract
Although nonsubsampled Contourlet transform (NSCT) has resolved the Shift-invariant limitation of Contourlet transform(CT), the filter width of nonsubsampled pyramidal decomposition in NSCT increases too fast because of binary zero insertion à trous algorithm that can cause border distortion and energy aliasing in image transform domain. This aliasing can be further amplified in the subsequent nonsubsampled directional filter, so there are obvious aliasings and amazing redundancy in SNCT. In this paper, a new approximate shift-invariant non-aliasing pyramidal decomposition was proposed to replace the à trous algorithm nonsubsampled pyramidal de composition in the NSCT, So a new approximate shift-invariant non-aliasing nonsubsampled Contourlet transform(NANSCT) was constructed. Compared to the NSCT, the basis image of the NANSCT has better spatial domain regularity, frequency domain localization and decreased redundancy. The experimental results show that whether PSNR index or in visual effect, the proposed scheme outperforms the traditional CT hard threshold denoising, Contourlet domain HMT denoising and the NSCT hard threshold denoising, and can achieve an excellent balance between suppressing noise effectively and preserving as many image details and edges as possible.
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Index Terms
- Shift-invariant Non-aliasing Multiscale Geometric Analysis Filter Banks: Theory, Design and Application
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Published In
July 2014
430 pages
ISBN:9781450328104
DOI:10.1145/2632856
- General Chairs:
- Hanzi Wang,
- Larry Davis,
- Program Chairs:
- Wenwu Zhu,
- Stephan Kopf,
- Yanyun Qu,
- Publications Chairs:
- Jun Yu,
- Jitao Sang,
- Tao Mei
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- NSF of China: National Natural Science Foundation of China
- Beijing ACM SIGMM Chapter
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Association for Computing Machinery
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Published: 10 July 2014
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ICIMCS '14
ICIMCS '14: International Conference on Internet Multimedia Computing and Service
July 10 - 12, 2014
Xiamen, China
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